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Problem 101

Question 15 of 15 This quiz: 15 point(s) pd This question: 1 point(s Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise. One number exceeds another by 10. The sum of the numbers is 4. What are the numbers? A. 6 and -2 B. No solution C. - 7 and -2 D. 7 and -3

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Problem 102

Lösen Sie die folgenden Gleichungen und führen Sie jeweils die Probe durch. 1.) $3 x+7=22 \quad x=5$ 2.) $7 x-12=30$ 3.) $85-15 x=40$ 4.) $7-4 x=55$ 5.) $12-x=13$ 6.) $6 x-2=10$ 7.) $-3 x+29=8=7$ 8.) $12 x-12=-24$ 9.) $3 x-8=-23$ 10.) $-2 x+4=0$ 11.) $3 x+5=4 x+1$ 12.) $5 x-8=4 x-1$ 13.) $8 x-6=15 x+8$ 14.) $9 x+2=-2 x-31$ 15.) $3 x+35=-4 x-14$ 16.) $4 x+2,5=-9 x-4$ 17.) $5,5 x-7=6,5-3,5 x$ 18.) $12,25 x-24=-9,75 x-288$ 19.) $13,1 x-22,6=28,2-12,3 x$ 20.) $14,6 x-17,3=67,7-2,4 x$

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Problem 103

WRITING Compare solving multi-step inequalities and solving mult-step equation. WRITING Without solving, how can you tell that the inequality $4 x+8 \leq 4 x-3$ has no solu

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Problem 104

$3 x+18=5 x+12$

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Problem 105

Fill in the table using this function rule. $y=-10 x-3$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline \end{tabular}

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Problem 106

The value of 142 dimes and quarters is $\$ 29.20$ . How many are dimes and how many are quarters?

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Problem 107

"Four times the difference of a number and nine is $-30 . "$

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Problem 108

k) $5 g+34=-2(1-7 g)$ l) $12 t+8=\overline{3} t+71$ n) $-q-6=-10 q+57$ o) $3 c-5=-8(6+5 c)$

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Problem 109

1) $12 t+8=3 t+71$

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Problem 110

m) $2(4 a-3)-8=4+2 a$ n) $-q-6=-10 q+57$

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Problem 111

Solve by the substitution method. $\begin{array}{l} 2 x+3 y=21 \\ x=15-2 y \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set of the system is $\square$ \}. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. The solution set is the empty set.

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Problem 112

$-f+2+4 f=8-3 f$

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Problem 113

$2+1.25 f=10-2.75 f$

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Problem 114

$2 d+4=10+2.5 d$

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Problem 115

$\frac{9}{4} y-12=\frac{1}{4} y-4$

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Problem 116

$2-16 t=6(-3 t+2)$

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Problem 117

LINE Fall 2024 vork: Section 8.2 Homework list 不 Question 16, 8.2.34 > HW Score: 66.67%, 12 of 18 points O Points: 0 of 1 Briley Quillen 09/07/24 5:57 PM Save The temperature at which water freezes is 32° Fahrenheit (0° Celsius), and the temperature at which water boils is 212° Fahrenheit (100° Celsius). Find the constants m and b in the formula F=mC+b that expresses the Fahrenheit temperature F as a function of the Celsius temperature C 7 8 9 m= and b=

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Problem 118

A 56 -inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If $x$ represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece? $\square$ $\square$ $i n^{2}$ . in.

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Problem 119

8. Given the function $f(x)=\left\{\begin{array}{lr} -2 x+4, & 0 \leq x<8 \\ -5 x+11, & x \geq 8 \end{array}\right.$ is the function increasing or decreasing over the interval $[2,7]$ ? Find the rate of change over this interval.

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Problem 120

$\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)$

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Problem 121

In Exercises 17-20, find the equation of the line with slope $m$ that passes through the given point.
17. $m=1 ;(3,5)$
18. $m=2 ;(-2,1)$
19. $m=-1 ;(6,2)$
20. $m=0 ;(-4,-5)$

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Problem 122

Solve the equation for x : $15=\frac{x+2}{-3}$ (1 point) $x=-32$ $x=16$ $x=-47$ $x=-7$

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Problem 123

In Exercises 35-42, find an equation for the line satisfying the given conditions.
35. through $(-2,1)$ with slope 3
36. $y$ -intercept -7 and slope 1
37. through $(2,3)$ and parallel to $3 x-2 y=5$
38. through $(1,-2)$ and perpendicular to $y=2 x-3$

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Problem 124

A bowling ball traveling with constants speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting the pins 2.80 s after the ball is released from his hands. What is the speed of the ball, assuming the speed of sound is $340 \mathrm{~m} / \mathrm{s}$ ?

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Problem 125

44. Solve for $x$ : $7+x=15$

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Problem 126

49. Write an expression for "three timesa number a number minus four."
Student First 7.1

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Problem 127

Determine whether the given ordered pair is a solution of the system of equations. $\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}$

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Problem 128

Solve Guass Elimination $\begin{array}{r} x-2 z=-1 \\ -2 x+y+z=6 \\ x+y-5 z=3 \end{array}$

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Problem 129

Solve the equation and check. $\begin{array}{l} \frac{x}{7}+2=9 \\ x=\square \end{array}$

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Problem 130

Solve the equation and check. $x=\square \quad 15 x-22=18$

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Problem 131

Solve the equation and check. $x=\square 3 x-8=11$

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Problem 132

Solve the equation and check. $y=\square 4 y+4=7 y-14$

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Problem 133

Solve the equation and check. $x=\square$

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Problem 134

Solve the equation and check. $x=\square \quad 23=-5(x-3)$

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Problem 135

Solve the equation and check. $x=\square$

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Problem 136

Solve the equation and check. $x=\square$

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Problem 137

Solve the equation and check. $a=\square$

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Problem 138

Solve the equation and check. $y=\square(y-3(y-2)=6(y+1)$

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Problem 139

Solve the equation and check. $x=\square$

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Problem 140

Solve the equation and check. $x=\square(5+9(x+8)=77-6(4 x+11)$

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Problem 141

Solve the equation and check. $y=\square$

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Problem 142

Solve the equation and check. $x=\square \frac{x}{2}+\frac{2 x+4}{4}=\frac{x-1}{6}-\frac{3-2 x}{3}$

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Problem 143

Solve the equation and check. $x=\square \frac{1}{2}+\frac{x}{9}=\frac{5}{2}$

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Problem 144

40. [-/1 Points] DETAILS MY NOTES EWENMATH12 6.4.001. 0/100 Submissions Used
ASK YOUR TEACHER
Solve the equation and check. $x=\square \frac{2 x}{3}=\frac{24}{6}$

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Problem 145

Fran swims at a speed of 2.4 mph in still water. The Lazy River flows at a speed of 0.2 mph . How long will it take Fran to swim 4.4 mi upstream? 4.4 mi downstream?
It will take Fran $\square$ $\square$ to swim 4.4 mi upstream (Type an integer or a simplified fraction.) It will take Fran $\square$ $\square$ to swim 4.4 mi downstream. (Type an integer or a simplified fraction.)

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Problem 146

Mai Jun wants to buy the gaming laptop on hire-purchase. She pays a deposit of $20 \%$ of the cash price and the remaining will be paid in 24 monthly instalments of $\$ 134.68$ at a simple interest rate of $r \%$ per annum. (a) Calculate the extra amount she pays compared to the cash price. $\begin{array}{l} \text { Mepsit }=\frac{20}{100} \times \$ 3848 \\ =\$ 769.60 \\ \text { extra paid }=\$ 4001.92-\$ 3848 \\ =\$ 133.92 \end{array}$ $\begin{aligned} 24 \text { monthy instalmets } & =\$ 134.68 \times 24 \\ & =\$ 3232.32 \\ \text { Chire-prohase) } & =\$ \begin{aligned} \text { Total amant of movey } & =\$ 3232.32+\$ 769.60 \\ & =\$ 4001.92 \end{aligned} \end{aligned}$
Answer \ $153.92$ \qquad $[3] (b) Hence or otherwise, calculate the value of$ r$.

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Problem 148

Complete the table for the equation $x+2 y=9$ , and graph the equation. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 4.5 \\ \hline 9 & 0 \\ \hline 5 & 2 \\ \hline 1 & 4 \\ \hline \end{tabular}
Use the graphing tool to graph the line using two points. $\square$ Click to enlarge riranh
Selected: $\square$ none $\square$ $\zeta$ V $\square$ $\cup$ $\square$ C Delete Clear $?$ Clear all Check answer

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Problem 149

Find the $x$ - and $y$ -intercepts. Then graph the equation. $x+4 y=0$ (a) What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept is $\square$ I. (Simplify your answer. Type an ordered pair.)

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Problem 150

A jazz concert brought in $\$ 127,000$ on the sale of 8,000 tickets. If the tickets sold for $\$ 10$ and $\$ 20$ each, how many of each type of ticket were sold?
The number of $\$ 10$ tickets is . $\square$

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Problem 151

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Approximately 5.7 million wrecked cars are recycled in two consecutive years. There were 300,000 more recycled the second year than the first year. How many cars are recycled each year?
Let $x$ be the number of cars, in millions, recycled in the first year. Write an equation for the total number of cars recycled. $\square$ (Type an equation. Do not solve. Use integers or decimals for any numbers in the equation.)

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Problem 152

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Two gasoline distributors, $A$ and $B$ , are 238 mi apart on a certain interstate. A charges $\$ 2.60 / \mathrm{gal}$ and $B$ charges $\$ 2.30 / \mathrm{gal}$ . Each charges $0.3 \phi / \mathrm{gal}$ per mile for delivery. Where on the interstate is the cost to the customer the same? are equal. Express all values in terms of cents. A. $(260+0.3) d=(230+0.3)(238-d)$ B. $260+0.3(238-d)=230+0.3 d$ C. $260+0.3 \mathrm{~d}=230+0.3(238-\mathrm{d})$ D. $(260+0.3)(238-d)=(230+0.3) d$
The cost is the same when a customer is $\square$ mi from distributor A. (Type an integer or a decimal.)

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Problem 153

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Two gasoline distributors, $A$ and $B$ , are 238 mi apart on a certain interstate. A charges $\$ 2.60 / \mathrm{gal}$ and $B$ charges $\$ 2.30 / \mathrm{gal}$ . Each charges $0.3 \notin / \mathrm{gal}$ per mile for delivery. Where on the interstate is the cost to the customer the same? B. $\angle v u+U . s(\angle s v-a)=\angle s u+U . s a$ C. $260+0.3 \mathrm{~d}=230+0.3(238-\mathrm{d})$ D. $(260+0.3)(238-d)=(230+0.3) d$
The cost is the same when a customer is 69 mi from distributor $A$ . (Type an integer or a decimal.) The cost is the same when a customer is $\square$ mi from distributor B. (Type an integer or a decimal.)

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Problem 154

$-9=w-4$

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Problem 155

Complete the table for the equation $x+2 y=9$ , and graph the equation. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 4.5 \\ \hline 9 & 0 \\ \hline 5 & 2 \\ \hline 1 & 4 \\ \hline \end{tabular}
Use the graphing tool to graph the line using two points. $\square$ Click to enlarge Clear all Check answer Get more help -

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Problem 156

H 1111 MW 1:00-2:15pm (Section 090) - ICollege Jaiden Sargent 1.3 Models and Applications Question 5, 1.3.7 HW Score: $36.36 \%, 4$ of 11 points Part 1 of 3 Points: 0 of 1
A new car worth $\$ 27,000$ is depreciating in value by $\$ 3000$ per year. Complete parts (a) through (c). a. Write a formula that models the car's value, $y$ , in dollars, after $x$ years. b. Use the formula from part (a) to determine after how many years the car's value will be $\$ 18,000$ . c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. a. A formula that models the car's value, $y$ , in dollars, after $x$ years is $\square$ . (Type an equation.)

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Problem 157

024 Fall: MATH 1111 MW 1:00-2:15pm (Section 096) - iCollege
Homework: 1.3 Models and Applications Question 1, 1.3.03 HW Score: 0\%, 0 of 11 points Points: 0 of 1 destion list
Question 1
Question 2
Question 3 A text message plan costs $\$ 3$ per month plus $\$ 0.49$ per text. Find the monthly cost for $x$ text messages.
The monthly cost of $x$ messages is $\square$ dollars. (Use integers or decimals for any numbers in the expression.)

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Problem 158

W 1:00-2:15pm (Section 096) - iCollege Jaiden Sargent 09/08/24 8:26 AM Models and Applications Question 6, 1.3.11 HW Score: $45.45 \%, 5$ of 11 points Points: 0 of 1 Save
A transponder for a toll bridge costs $\$ 52.50$ . With the transponder, the toll is $\$ 4$ each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $\$ 5.25$ each time you cross the bridge with an additional administrative fee of $\$ 2.25$ for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bridge $\square$ times.

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Problem 159

ACollege Jaiden Sargent 09/08/24 8:30 AM work: 1.3 Models and Applications Question 10, 1.3-13 HW Score: 81.82\%, 9 of 11 points Points: 0 of 1 The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 128 feet, what are the room's dimensions? A. Width $=25 \mathrm{ft}$ ; length $=54 \mathrm{ft}$ . B. Width $=30 \mathrm{ft}$ ; length $=34 \mathrm{ft}$ C. Width $=40 \mathrm{ft}$ ; length $=88 \mathrm{ft}$ D. Width $=20 \mathrm{ft}$ ; length $=44 \mathrm{ft}$

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Problem 160

Find an equation of the line that contains the given pair of points. $(23,25),(6,8)$

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Problem 161

Solve the equation for $y$ . $\begin{array}{l} 3 x+y=5 \\ y=\square \end{array}$

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Problem 162

Use the slope-intercept form to graph the equation $3 x+y=5$
Use the graphing tool to graph the line. Use the slope and $y$ -intercept when drawing the line.
Click to enlarge graph

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Problem 163

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form $A x+B y=C$ . $m=-2,(-8,-9)$
The equation of the line in the form $A x+B y=C$ is $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 164

Graph the linear equation. $f(x)=-7 x$
Use the graphing tool to graph the equation. Click to enlarge graph

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Problem 165

Graph the linear equation. $f(x)=\frac{3}{5} x+4$
Use the graphing tool to graph the linear equation. $\square$ Click to enlarge graph

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Problem 166

aph shows the percentage of try's adults on weight-loss diets.
Use the two points whose coordinates are shown to find the point-slope form of the equation of the line that models the percentage of

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Problem 167

gnment - MyLab Homework Question 21, 2.4.3 Bianca Bentley 09/08/2 Write an equation for line $L$ in point-slope form and slope-intercept form. $L$ is perpendicular to $y=4 x$ .
HW Score: $87.06 \%, 74$ of 85 points Points: 0 or 4 Write an equation for line $L$ in point-slope form. $\square$ (Siimplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 168

Assignment - MyLab Homework Question 21, 2.4.3 Part 1 of 2 HW Score: $87.06 \%, 74$ of 85 Points: 0 of 4 Write an equation for line $L$ in point-slope form and slope-intercept form. $L$ is perpendicular to $y=2 x$ .
Write an equation for line $L$ in point-slope form. (amplify your answer. Use integers or fractions for any nun

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Problem 169

Part 1 of 2 HW Score: $87.06 \%, 74$ of 85 points point-slope form and slope-intercept form. Points: 0 of 4 $L$ is perpendicular to $y=3 x$ .
Write an equation for line $L$ in point-slope form. $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 170

Esta es la única pregunta en esta sección.
Pregunta Ver video Mostrar ejemplos
Escribe la ecuación de la recta que pasa por los puntos $(-3,-4)$ y $(7,-2)$ . Coloque su respuesta en forma punto-pendiente totalmente simplificada, a melios que sea una línea vertical u horizontal.
Respuesta Intento 1 de 2 $\square$ Enviar respuesta

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Problem 171

Solve the system of equations by graphing. $\left\{\begin{array}{l} x+y=9 \\ x-y=5 \end{array}\right.$
Use the graphing tool to graph the system. $\qquad$

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Problem 172

Part 1 of 2 points Points: 0 of 1 Save
Solve the system of equations by graphing. $\left\{\begin{array}{l} y=-x-1 \\ y=x+7 \end{array}\right.$
Use the graphing tool to graph the system. $\begin{array}{|c|c} \hline \text { Click to } \\ \text { enlarge } \\ \text { graph } \end{array}$ example Get more help -

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Problem 173

Solving a decimal word problem using a two-step linear inequality
For his phone service, Frank pays a monthly fee of $\$ 22$ , and he pays an additional $\$ 0.04$ per minute of use. The least he has been charged in a month is \$76.32.
What are the possible numbers of minutes he has used his phone in a month? Use $m$ for the number of minutes, and solve your inequality, for $m$ .

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Problem 174

For her phone service, Donna pays a monthly fee of $\$ 10$ , and she pays an additional $\$ 0.05$ per minute of use. The least she has been charged in a month is $\$ 64.20$ .
What are the possible numbers of minutes she has used her phone in a month? Use $m$ for the number of minutes, and solve your inequality for $m$ . $\square$

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Problem 175

Solve the system of equations by graphing. $\left\{\begin{array}{l} y+3 x=5 \\ -9 x-3 y=-15 \end{array}\right.$
Use the graphing tool to graph the system. Click to enlarge graph View an example Get more help - Clear all Check ansurer klie Sett $76^{\circ} \mathrm{F}$ Sunny

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Problem 176

Solve for $r$ . $\begin{array}{l} 16-2 r=-3 r+6 r+1 \\ r=\square \end{array}$

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Problem 177

Problem:
Leo and Marco are college roommates who just completed their first year of college. After returning home, they each realized they had the wrong laptop and decide to meet up to swap laptops since they only live 213 miles apart. They start at the same time and drive toward each other; they meet in 1.5 hours. Leo drives 6 mph slower than Marco. How fast is Leo driving? How far does Leo drive?
Organize the information and set up the equation
Table and/or diagram: \begin{tabular}{|l|l|l|l|} \hline Object & $\boldsymbol{r}$ & $\boldsymbol{t}$ & $\boldsymbol{D}=\boldsymbol{r} \boldsymbol{t}$ \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}
Define the variable: (you will only need one variable)
Write the equation:
Solve the equation \& answer the question
Solve the equation:
Leo's distance:

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Problem 178

Write an equation for the relationship in the table. \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 1 & 2 & 3 & 4 \\ \hline $y$ & 5 & 10 & 15 & 20 \\ \hline \end{tabular}
Enter the correct answer in the box. $\square$ Back 1 2 3 Done

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Problem 179

Q1. (5 points) Consider the open sentence $Q(a, b)$ There exists a natural number $m$ such that $a m \leq-2 a+3 b$ .
For each of the following, determine whether it is an open sentence or a statement. If it is an open sentence, indicate the variable(s) it depends on. If it is a statement, give its truth value. No justification is necessary. (a) $Q(1,-1)$ . (b) For all negative integers $a, Q(a, b)$ . (c) For all negative integers $a$ and all positive integers $b, Q(a, b)$ .

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Problem 180

$-8=\frac{x+11}{-2}$

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Problem 181

$8-\frac{1}{3} x=16$

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Problem 182

Solve the inequality. Then graph the solution and give interval notation. $-11 \leq-8 x+5<37$
Clear All $\square$ Draw: $\square$ - 0
Interval notation for the above graph and inequality is $\square$

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Problem 183

At the beginning of the year, Adrian's savings account balance was $\$ 28$ . Each week, he deposits another $\$ 15$ into that account, and he doesn't spend any of his savings. Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer: (A) Yes (B) No

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Problem 184

$13-\frac{3}{2} x=37$

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Problem 185

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters in envelopes.
Which equation best represents $y$ , the total number of letters Natasha puts in envelopes in $x$ hours if she continues at this rate?
F $x=y+42$ G $y=x+42$ H $x=42 y$ J $y=42 x$

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Problem 186

At the gas station, gas usually costs $\$ 3$ . This month, there's a sale: for every drink you purchase you save $\$ 0.20$ on gas.
Assuming your sale savings are less than the cost of your gas, are your total savings on gas proportional to the number of drinks you purchase?
Choose 1 answer: (A) Yes (B) No

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Problem 187

Find the sum of the given vectors. $\begin{aligned} & a=(2,3,-4), \quad b=(0,0,6) \\ a+b= & \end{aligned}$
Illustrate geometrically: $Z$

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Problem 188

Which equation represents the relationship between the $x$ -values and the $y$ -values in the table? \begin{tabular}{|r|c|} \hline $x$ & $y$ \\ \hline 0 & 4 \\ \hline 2 & 16 \\ \hline 4 & 28 \\ \hline 6 & 40 \\ \hline 10 & 64 \\ \hline \end{tabular}
A $y=2 x+12$ B $y=4 x+6$ C $y=2 x+4$ D $y=6 x+4$ Hint: Find the slope, then find the $y$ intercept.

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Problem 189

Maël mixes 15 milliliters $(\mathrm{mL})$ of bleach with 3.75 liters $(\mathrm{L})$ of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
Choose 3 answers: A 12 mL bleach and 3 L water B 6 mL bleach and 1.5 L water c. 3 mL bleach and 0.75 L water (D) 20 mL bleach and 5.5 L water
E 11 mL bleach and 3.75 L water

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Problem 190

$7(x-2)=42$

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Problem 191

$2(2 y-10)=20$

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Problem 192

$4(z-2)=20$

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Problem 193

Question
Which equation has the solution $x=7$ ?
Answer $4 x-3=-25$ $5 x-4=31$ $8 x+8=104$ $6 x-4=5$

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Problem 194

$5 y+10=45$

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Problem 195

Which equation has the solution $x=3$ ?
Answer $2 x-2=4$ $7 x-7=-14$ $6 x-4=86$ $8 x+2=46$

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Problem 196

$10 w-4=86$

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Problem 197

$-5 x-5=-3 x+5$
Attempt 1 out of 2

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Problem 198

Assume that between 2007 and 2010, 'messaging' became increasingly popular. The number of messages (in thousands) reported by a microblogging company can be modeled by $T(x)=16,622 x-120,632$ , where $x$ is the number of years after 2000 . a. What is the slope of the graph of this function? b. Interpret the slope as a rate of change. a. The slope of the graph of this function is $\square$ (Simplify your answer.)

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Problem 199

Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle.
The measure of one angle is $3^{\circ}$ more than $\frac{1}{2}$ the measure of its supplement. $x+\left(\frac{1}{2} x+3\right)=180$ $x+\left(\frac{1}{2} x+3\right)=90$ $x+\left(\frac{1}{2} x-3\right)=180$ $x+\left(\frac{1}{2} x-3\right)=90$
The measure of the smaller angle is $\square$ .
The measure of the larger angle is $\square$ .

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Problem 200

A motorboat can maintain a constant speed of 27 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 44 minutes; the return trip takes 22 minutes. What is the speed of the current?

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Linearity

Problem 101

Problem 102

Problem 103

WRITING Compare solving multi-step inequalities and solving mult-step equation. WRITING Without solving, how can you tell that the inequality 4x+8≤4x−34 x+8 \leq 4 x-34x+8≤4x−3 has no solu

Problem 104

3x+18=5x+123 x+18=5 x+123x+18=5x+12

Problem 105

Fill in the table using this function rule. y=−10x−3y=-10 x-3y=−10x−3 \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline-5 & □\square□ \\ \hline-1 & □\square□ \\ \hline 0 & □\square□ \\ \hline 1 & □\square□ \\ \hline \end{tabular}

Problem 106

The value of 142 dimes and quarters is $29.20\$ 29.20$29.20. How many are dimes and how many are quarters?

Problem 107

"Four times the difference of a number and nine is −30."-30 . "−30."

Problem 108

k) 5g+34=−2(1−7g)5 g+34=-2(1-7 g)5g+34=−2(1−7g) l) 12t+8=3‾t+7112 t+8=\overline{3} t+7112t+8=3t+71 n) −q−6=−10q+57-q-6=-10 q+57−q−6=−10q+57 o) 3c−5=−8(6+5c)3 c-5=-8(6+5 c)3c−5=−8(6+5c)

Problem 109

1) 12t+8=3t+7112 t+8=3 t+7112t+8=3t+71

Problem 110

m) 2(4a−3)−8=4+2a2(4 a-3)-8=4+2 a2(4a−3)−8=4+2a n) −q−6=−10q+57-q-6=-10 q+57−q−6=−10q+57

Problem 111

Problem 112

−f+2+4f=8−3f-f+2+4 f=8-3 f−f+2+4f=8−3f

Problem 113

2+1.25f=10−2.75f2+1.25 f=10-2.75 f2+1.25f=10−2.75f

Problem 114

2d+4=10+2.5d2 d+4=10+2.5 d2d+4=10+2.5d

Problem 115

94y−12=14y−4\frac{9}{4} y-12=\frac{1}{4} y-449​y−12=41​y−4

Problem 116

2−16t=6(−3t+2)2-16 t=6(-3 t+2)2−16t=6(−3t+2)

Problem 117

Problem 118

Problem 119

Problem 120

34(2x−3)=65(3x+1)\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)43​(2x−3)=56​(3x+1)

Problem 121

In Exercises 17-20, find the equation of the line with slope mmm that passes through the given point.17. m=1;(3,5)m=1 ;(3,5)m=1;(3,5)18. m=2;(−2,1)m=2 ;(-2,1)m=2;(−2,1)19. m=−1;(6,2)m=-1 ;(6,2)m=−1;(6,2)20. m=0;(−4,−5)m=0 ;(-4,-5)m=0;(−4,−5)

Problem 122

Solve the equation for x : 15=x+2−315=\frac{x+2}{-3}15=−3x+2​ (1 point) x=−32x=-32x=−32 x=16x=16x=16 x=−47x=-47x=−47 x=−7x=-7x=−7

Problem 123

Problem 124

Problem 125

44. Solve for xxx : 7+x=157+x=157+x=15

Problem 126

49. Write an expression for "three timesa number a number minus four."Student First 7.1

Problem 127

Determine whether the given ordered pair is a solution of the system of equations. (4,5);−4x+y=−113x+y=7\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}(4,5);−4x+y=−113x+y=7​

Problem 128

Solve Guass Elimination x−2z=−1−2x+y+z=6x+y−5z=3\begin{array}{r} x-2 z=-1 \\ -2 x+y+z=6 \\ x+y-5 z=3 \end{array}x−2z=−1−2x+y+z=6x+y−5z=3​

Problem 129

Solve the equation and check. x7+2=9x=□\begin{array}{l} \frac{x}{7}+2=9 \\ x=\square \end{array}7x​+2=9x=□​

Problem 130

Solve the equation and check. x=□15x−22=18x=\square \quad 15 x-22=18x=□15x−22=18

Problem 131

Solve the equation and check. x=□3x−8=11x=\square 3 x-8=11x=□3x−8=11

Problem 132

Solve the equation and check. y=□4y+4=7y−14y=\square 4 y+4=7 y-14y=□4y+4=7y−14

Problem 133

Solve the equation and check. x=□x=\squarex=□

Problem 134

Solve the equation and check. x=□23=−5(x−3)x=\square \quad 23=-5(x-3)x=□23=−5(x−3)

Problem 135

Solve the equation and check. x=□x=\squarex=□

Problem 136

Solve the equation and check. x=□x=\squarex=□

Problem 137

Solve the equation and check. a=□a=\squarea=□

Problem 138

Solve the equation and check. y=□(y−3(y−2)=6(y+1)y=\square(y-3(y-2)=6(y+1)y=□(y−3(y−2)=6(y+1)

Problem 139

Solve the equation and check. x=□x=\squarex=□

Problem 140

Solve the equation and check. x=□(5+9(x+8)=77−6(4x+11)x=\square(5+9(x+8)=77-6(4 x+11)x=□(5+9(x+8)=77−6(4x+11)

Problem 141

Solve the equation and check. y=□y=\squarey=□

Problem 142

Solve the equation and check. x=□x2+2x+44=x−16−3−2x3x=\square \frac{x}{2}+\frac{2 x+4}{4}=\frac{x-1}{6}-\frac{3-2 x}{3}x=□2x​+42x+4​=6x−1​−33−2x​

Problem 143

Solve the equation and check. x=□12+x9=52x=\square \frac{1}{2}+\frac{x}{9}=\frac{5}{2}x=□21​+9x​=25​

Problem 144

WRITING Compare solving multi-step inequalities and solving mult-step equation. WRITING Without solving, how can you tell that the inequality $4 x+8 \leq 4 x-3$ has no solu

$3 x+18=5 x+12$

Fill in the table using this function rule. $y=-10 x-3$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline \end{tabular}

The value of 142 dimes and quarters is $\$ 29.20$ . How many are dimes and how many are quarters?

"Four times the difference of a number and nine is $-30 . "$

k) $5 g+34=-2(1-7 g)$ l) $12 t+8=\overline{3} t+71$ n) $-q-6=-10 q+57$ o) $3 c-5=-8(6+5 c)$

1) $12 t+8=3 t+71$

m) $2(4 a-3)-8=4+2 a$ n) $-q-6=-10 q+57$

$-f+2+4 f=8-3 f$

$2+1.25 f=10-2.75 f$

$2 d+4=10+2.5 d$

$\frac{9}{4} y-12=\frac{1}{4} y-4$

$2-16 t=6(-3 t+2)$

$\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)$

In Exercises 17-20, find the equation of the line with slope $m$ that passes through the given point.
17. $m=1 ;(3,5)$
18. $m=2 ;(-2,1)$
19. $m=-1 ;(6,2)$
20. $m=0 ;(-4,-5)$

Solve the equation for x : $15=\frac{x+2}{-3}$ (1 point) $x=-32$ $x=16$ $x=-47$ $x=-7$

44. Solve for $x$ : $7+x=15$

49. Write an expression for "three timesa number a number minus four."
Student First 7.1

Determine whether the given ordered pair is a solution of the system of equations. $\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}$

Solve Guass Elimination $\begin{array}{r} x-2 z=-1 \\ -2 x+y+z=6 \\ x+y-5 z=3 \end{array}$

Solve the equation and check. $\begin{array}{l} \frac{x}{7}+2=9 \\ x=\square \end{array}$

Solve the equation and check. $x=\square \quad 15 x-22=18$

Solve the equation and check. $x=\square 3 x-8=11$

Solve the equation and check. $y=\square 4 y+4=7 y-14$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square \quad 23=-5(x-3)$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square$

Solve the equation and check. $a=\square$

Solve the equation and check. $y=\square(y-3(y-2)=6(y+1)$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square(5+9(x+8)=77-6(4 x+11)$

Solve the equation and check. $y=\square$

Solve the equation and check. $x=\square \frac{x}{2}+\frac{2 x+4}{4}=\frac{x-1}{6}-\frac{3-2 x}{3}$

Solve the equation and check. $x=\square \frac{1}{2}+\frac{x}{9}=\frac{5}{2}$

40. [-/1 Points] DETAILS MY NOTES EWENMATH12 6.4.001. 0/100 Submissions Used
ASK YOUR TEACHER
Solve the equation and check. $x=\square \frac{2 x}{3}=\frac{24}{6}$

Find the $x$ - and $y$ -intercepts. Then graph the equation. $x+4 y=0$ (a) What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept is $\square$ I. (Simplify your answer. Type an ordered pair.)

A jazz concert brought in $\$ 127,000$ on the sale of 8,000 tickets. If the tickets sold for $\$ 10$ and $\$ 20$ each, how many of each type of ticket were sold?
The number of $\$ 10$ tickets is . $\square$

$-9=w-4$

Find an equation of the line that contains the given pair of points. $(23,25),(6,8)$

Solve the equation for $y$ . $\begin{array}{l} 3 x+y=5 \\ y=\square \end{array}$

Use the slope-intercept form to graph the equation $3 x+y=5$
Use the graphing tool to graph the line. Use the slope and $y$ -intercept when drawing the line.
Click to enlarge graph

Graph the linear equation. $f(x)=-7 x$
Use the graphing tool to graph the equation. Click to enlarge graph

Graph the linear equation. $f(x)=\frac{3}{5} x+4$
Use the graphing tool to graph the linear equation. $\square$ Click to enlarge graph

aph shows the percentage of try's adults on weight-loss diets.
Use the two points whose coordinates are shown to find the point-slope form of the equation of the line that models the percentage of

Solve the system of equations by graphing. $\left\{\begin{array}{l} x+y=9 \\ x-y=5 \end{array}\right.$
Use the graphing tool to graph the system. $\qquad$