Browse Linearity problems Studdy Solved!

Problem 1501

Combine like terms to simplify the $4 x+4-5 x$ $\square$ (Simplify your answer.)

See Solution

Problem 1502

What is the x -intercept for this linear equation? $\frac{1}{2} x-\frac{2}{3} y=-6$

See Solution

Problem 1503

Last week, Jay had $\$ 217$ in the bank, but this week, Jay is $\$ 28$ in debt. a) Write an equation that describes that situation. b) What does the solution to that equation tell you?

See Solution

Problem 1504

12. $17.3+v=22.32$

See Solution

Problem 1505

Algebra Ethan went to the farmers market and bought 57 pieces of fruit. He bought 15 pears, 22 apples, and some peaches. Write an equation to help solve the problem. Use an unknown to represent the number of peaches.

See Solution

Problem 1506

11. Write the slope-intercept form of the equation of the line passing through the point $(2,-4)$ and parallel to the line $y=5 x+5$
12. Write the slope-intercept form of the equation of the line passing through the point $(5,-4)$ and perpendicular to the line $y=-\frac{4}{3} x+5$
13. Sunshine Plumbing charges $\$ 100$ plus $\$ 80$ for every hour of work. National Plumbing charges $\$ 140$ plus $\$ 60$ for every hour of work. a. Let $c$ represent the cost of completing $h$ hours of work. Write an equation to represent the cost of using Sunshine Plumbing, and an equation to represent the cost of using National Plumbing. b. Graph the equations from part (a). c. When is National Plumbing less expensive than Sunshine Plumbing? Exp

See Solution

Problem 1507

10. $-\frac{3}{4} x-\frac{1}{3}+\frac{7}{8} x-\frac{1}{2}$

See Solution

Problem 1508

Ethan planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find $x$ , the number of meters the tree has grown? $1.85+5.30=x$ $1.85 x=5.30$ $1.85+x=5.30$ $1.85(5.30)=x$ Done

See Solution

Problem 1509

10.1: Games and Rides
Jada has $\$ 20$ to spend on games and rides at a carnival. Games cost $\$ 1$ each and rides are \ $2 each.<br />1. Which equation represents the relationship between the number of games,$ x $, and the number of rides,$ y $, that Jada could do if she spends all her money?$ A: x+y=20B: 2 x+y=20 $C:$ x+2 y=20$
2. Explain what each of the other two equations could mean in this situation. 10.2: Graphing Games and Rides ( 30 min )
Here are the three equations. Each represents the relationship between the number of games, $x$ , the number of rides, $y$ , and the dollar amount a student is spending on games and rides at a different amusement park.
Equation $1: x+y=20$ Equation $2: 250 x+y=15$ Equation $3: x+4 y=28$
Your teacher will assign to you (or ask you to choose) 1-2 equations. For each assigned (or chosen) equation, answer the questions.

See Solution

Problem 1510

\#10-\# 18: I can write an equation to solve a problen
At McDonald's, a six-piece Chicken McNuggets and a medium fries have a total of 602 calories. The medium fries have 350 calories. Write an equation that could be used to solve for the amount of calories in one chicken nugget. $6 x+350=620$
How many calories are in one chicken nugget?

See Solution

Problem 1511

\begin{align} \text{Solve each compound inequality and graph it:} \\ 1) & \quad 1 + 7n < 1 - 10n < 4 - 9n \\ 2) & \quad 2n - 3 \leq 3n + 3 < 9 + n \end{align}

See Solution

Problem 1512

Question 18 of 25 What is the slope-intercept equation for the line below? A. $y=2 x+1$ B. $y=\frac{1}{2} x+1$ C. $y=-2 x+1$ D. $y=-\frac{1}{2} x+1$

See Solution

Problem 1513

Solve the system by using Gaussian elimination of Gauss-Jordan elimination. $\begin{aligned} -2 x-3 y+5 z & =-10 \\ x+2 y+2 z & =10 \\ 5 x-3 y+2 z & =29 \end{aligned}$

See Solution

Problem 1514

4. A line has a slope of $\frac{5}{6}$ and passes through the point $(-12,-14)$ . a) Write the equation $y=m x+b$ with the given slope substituted for $m$ .

See Solution

Problem 1515

8. Explain why the equation $2(3 x-5)=6 x+8$ has no solutions. (From Unit 2, Lesson 7.)
9. Consider the equation $3 a+0.1 n=123$ . If we solve this equation for $n$ , which equation would result? A. $0.1 n=123-3 a$ B. $n=123-3 a-0.1$ C. $n=1,230-30 a$ D. $\frac{3 a-123}{0.1}=n$ (From Unit 2, Lesson 8.)
10. Diego is buying shrimp and rice to make dinner. Shrimp costs $\$ 6.20$ per pound and rice costs $\$ 1.25$ per pound. Diego spent $\$ 10.55$ buying shrimp and rice. The relationship between pounds of shrimp $s$ , pounds of rice $r$ , and the total cost is represented by the equation $6.20 s+1.25 r=10.55$ . Write an equation that makes it easy to find the number of pounds of rice if we know the number of pounds of shrimp purchased. (From Unit 2, Lesson 8.)

See Solution

Problem 1516

(Ib) Javier rode his bike 4.8 miles from his school to the library. Then he rode home. If Javier rode his bike a total of 6.3 miles, which equation models how to find the distance between the library and his home? (A) $6.3-4.8=1.5$ (B) $6.3-4.8=2.5$ (C) $4.8+6.3=10.1$ (D) $4.8+6.3=11.1$

See Solution

Problem 1517

Solve the system of linear equations by elimination. $\begin{array}{l} -y-10=6 x \\ 5 x+y=-10 \end{array}$
The solution is: ( $\square$ , $\square$

See Solution

Problem 1518

Question 6 of 25 After the drama club sold 100 tickets to a show, it had $\$ 300$ in profit. After the next show, it had sold a total of 200 tickets and had a total of $\$ 700$ profit. Which equation models the total profit, $y$ , based on the number of tickets sold, $x$ ? A. $y+300=4(x+100)$ B. $y-300=4(x-100)$ C. $y-300=2.5(x-100)$ D. $y+300=2.5(x+100)$ SUBMIT

See Solution

Problem 1519

Solve the system of linear equations by elimination. $\begin{array}{l} x+2 y=13 \\ -x+y=5 \end{array}$
The solution is: ( $\square$ $\square$

See Solution

Problem 1520

$\frac{3 t-2}{4}-\frac{2 t+3}{3}=\frac{2}{3}-t$

See Solution

Problem 1521

Question 14 of 25 The cost, $y$ , of red grapefruit can be represented by the equation $y=2 x$ , where $x$ is the number of pounds of red grapefruit.
The graph shows the cost of pink grapefruit. Which type of grapefruit costs more per pound?
Cost of Pink Grapefruit A. Red and pink grapefruit cost the same. B. Pink grapefruit C. Red grapefruit

See Solution

Problem 1522

Solve the system by elimination. $\begin{array}{l} 4 x-3 y=8 \\ 5 x-2 y=-11 \end{array}$
The solution is: $\square$ , )

See Solution

Problem 1523

(齐) Solve for $y$ . $\begin{array}{l} y--9=19 \\ y= \end{array}$ Submit

See Solution

Problem 1524

$\begin{array}{l} y=-2 x+14 \\ y=-3 x-11 \end{array}$ yes no

See Solution

Problem 1525

Graph this line: $y+2=-\frac{1}{3}(x-2)$
Click to select points on the graph.

See Solution

Problem 1526

Solve for $y$ in terms of $x$ . $\begin{array}{l} 3 x-2 y=8 \\ y=\square \end{array}$

See Solution

Problem 1527

Solve the inequality. Graph the solution set. $6<\frac{5}{4} a-4$
Use the tools to enter your answer. (1) [] ] WebAssign NumberLine
Write the solution set using interval notation. (If there is no solution, enter NO SOLUTION. $\square$

See Solution

Problem 1528

$\begin{array}{l}-8 x-9 y=-4 \\ -8 x-7 y=4\end{array}$

See Solution

Problem 1529

$\begin{array}{l}x+8 y=-13 \\ -3 x-2 y=-5\end{array}$

See Solution

Problem 1530

$\begin{array}{l}5 x-6 y=7 \\ 5 x-5 y=5\end{array}$

See Solution

Problem 1531

Solve each system using the elimination method. 4.6.1) $\left\{\begin{array}{c}4 a+7 b=1 \\ -2 a+7 b=-5\end{array}\right.$ A. Subtract $-2 a+7 b=-5$ from the other equation so the $b$ -terms become opposites. Then, rewrite the system so there are no parentheses. B. Nov: add the equations from Step A vertically. C. Solve the equation in one variable for that variable. 46 D. Substitute the result from the previous step into $4 a-7 b-1$ and simplify. E. Write the solution for the system. F. Check the solution with the original equation not used in Step D.

See Solution

Problem 1532

15) The senior classes at High School A and High School B planned separate trips to the state fair The senior class at High School A rented and filled 2 vans and 12 buses with 516 students. High School B rented and filled 8 vans and 1 bus with 184 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

See Solution

Problem 1533

What is the solution to the equation? $-5=\frac{x}{11}$
Enter your answer in the box. $x=$

See Solution

Problem 1534

$15+18 y-10-4 y+(6-y-8)$

See Solution

Problem 1535

OPEN-ENDED Write a system of linear equations that fits the description. Use a graph to justify your answer. The solution of the system is a point on the line $y=-9 x+1$ . B 1 $\underline{U}$ $\mathrm{T}^{2}$ $\mathrm{T}_{2}$ Line Undo Redo Reset

See Solution

Problem 1536

$\begin{array}{l}-5 x-2 y=-3 \\ 2 x+4 y=-18\end{array}$

See Solution

Problem 1537

$\begin{array}{l}4 x-6 y=4 \\ 7 x-7 y=-7\end{array}$

See Solution

Problem 1538

$\begin{array}{l}-5 x+8 y=-6 \\ 6 x-10 y=10\end{array}$

See Solution

Problem 1539

Pythagoras/Irrational Numbers: Unit 8 Show work!
Evaluate the expression: $x+8-y-x$
If $x=2$ and $y=-3$

See Solution

Problem 1540

Question 2 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} x+2 y=12 \\ y=x+3 \end{array}$ A. $(2,1)$ B. $(2,5)$ C. $(5,8)$ D. $(5,2)$ SUBmit

See Solution

Problem 1541

Question 3 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} 2 x+3 y=13 \\ x=2 \end{array}$ A. $(2,3)$ B. $(3,2)$ C. $(2,4)$ D. $(3,3)$ SUBMIT

See Solution

Problem 1542

Question 3 of 10 Solve the system of equations and choose the correct ordered pair. $\begin{array}{l} 2 x+6 y=6 \\ 3 x-2 y=20 \end{array}$ A. $(6,-1)$ B. $(6,-2)$ C. $(3,0)$ D. $(3,2)$

See Solution

Problem 1543

Question 4 of 10
Use the elimination method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} 6 x+4 y=32 \\ -6 x+4 y=8 \end{array}$ A. $(1,5)$ B. $(4,2)$ C. $(2,5)$ D. $(0,8)$

See Solution

Problem 1544

The glee club needs to raise money for the spring trip to Europe, so the members are assembling holiday wireaths to sell. Before lunch, they assembled 19 regular wreaths and 12 deluxe wreaths, which used a total of 127 pinecones. After lunch, they assembled 20 regular wreaths and 10 deluxe wreaths, using a total of 110 pinecones. How many pinecones are they putting on each wreath?
The regular wreaths each have $\square$ pinecones on them, and the large ones each have $\square$ pinecones.

See Solution

Problem 1545

3a. $7 v-3=5+3(v+2)$

See Solution

Problem 1546

Question 5 of 10
Add the equations. $\begin{array}{r} 3 x-y=-1 \\ +-3 x+3 y=27 \\ \hline \square \end{array}$ A. $-2 y=-28$ B. $6 x-4 y=-28$ C. $4 y=28$ D. $2 y=26$

See Solution

Problem 1547

The members of a sewing circle are making blankets to give to shelters. This week, they made 29 twin-size blankets and 12 queen-size blankets, using a total of 265 yards of fabric Last week, the members completed 17 twin-size blankets and 46 queen-size blankets, whict required 545 total yards of fabric. How much fabric is used for the different sizes of blankets A twin-size blanket uses $\square$ yards of fabric and a queen-size one uses $\square$ yards.

See Solution

Problem 1548

Miss Morton is getting married soon. She would like to hire a professional who will come to her house and do hair and makeup for the bridal party on her wedding day. She has narrowed it down to two possible choices. A woman from Riverside Salon charges an initial fee of $\$ 66$ and then an additional $\$ 22$ per hour. Alternatively, a team from Beauty by Frank offers a free consultation and then charges a higher hourly rate of $\$ 33$ . If it takes a certain amount of time to finish everyone's hair and makeup, Miss Morton will end up paying the same amount either way. How long would that take? How much would Miss Morton end up paying?
If it takes $\square$ hours, to finish everyone's hair and makeup, Miss Morton will end up paying \\square$

See Solution

Problem 1549

Heather is a costume designer for the local children's theater company. Yesterday, she sewed 3 female costumes and 4 male costumes, which used 60 yards of fabric. Today, she sewed 3 female costumes and 1 male costume, which used a total of 33 yards. How many yards of fabric does each type of costume require?
Each female costume requires $\square$ $\square$ yards. yards of fabric, and every male costume requires

See Solution

Problem 1550

Jennifer and Todd each opened a savings account on the same day. Jennifer started by putting $\$ 555$ in her account, and she will deposit an additional $\$ 356$ each week. Todd made an initial deposit of $\$ 551$ , and he will add $\$ 360$ more each week. Eventually, Jennifer and Todd will each have the same amount saved. What is that amount? How many weeks will that take?
Jennifer and Todd will each have saved a total of $\$$ $\square$ after $\square$ weeks.

See Solution

Problem 1551

Regan often orders party trays from her favorite Mexican food restaurant for company events. For a recent company party, she spent $\$ 150$ on 3 burrito platters and 1 taco platter. For a company meeting, she spent $\$ 259$ on 5 burrito platters and 2 taco platters. How much does each type of platter cost?
Each burrito platter costs \\square $and each taco platter chlists$ \$$ $\square$ .

See Solution

Problem 1552

Zack and Trevor got in trouble at football practice and have to run laps as a consequence. Zack, who runs at a rate of 1 lap per minute, had completed 7 laps already when he was joined on the track by Trevor. Trevor's pace is 2 laps per minute. At some point, the two will have run the same distance. How many laps will each boy have run? How long will that take?
Zack and Trevor will each have run $\square$ laps in $\square$ minutes.

See Solution

Problem 1553

$\begin{array}{l}3 x-2 y=-17 \\ y=4 \\ (\square, \square\end{array}$

See Solution

Problem 1554

$\begin{array}{l}x=-4 \\ 6 x-10 y=6\end{array}$

See Solution

Problem 1555

$\begin{array}{l}y=6 \\ -8 x+10 y=-4\end{array}$

See Solution

Problem 1556

$\begin{array}{l}y=-9 \\ -7 x+6 y=-5\end{array}$

See Solution

Problem 1557

Julie is reading a 480 page book. She reads the iirst ৪U pages. If Julie continues to read at the same rate, how long will it take her to finish the book? Solve on scrap paper first if you need to. It will take Julie $\square$ days to finish the book.

See Solution

Problem 1558

$\begin{array}{l}x=-9 \\ 8 x-9 y=-9\end{array}$

See Solution

Problem 1559

$6+3 u=-9$
Simplify your answer as much as possible. $u=$

See Solution

Problem 1560

Watch Video olve for $a$ . $-1.54=1.1+1.2 a$
Answer Altemptiout of 2 $a=\square$ Submit Answer

See Solution

Problem 1561

$-1=\frac{x}{2}-5$
Simplify your answer as much as possible. $x=$ $\square$

See Solution

Problem 1562

$\begin{array}{l}y=2 x-1 \\ y=3 x-4\end{array}$

See Solution

Problem 1563

Lydia is reading a 400 page book. She reads the first 40 pages in 4 days.
If Lydia continues to read at the same rate, how long will it take her to finish the book? Solve on scrap paper first if you need to. It will take Lydia $\square$ days to finish the book.

See Solution

Problem 1564

11. D m - (np + 1)

See Solution

Problem 1565

$\begin{array}{l}6 x+y=8 \\ 3 x-2 y=14\end{array}$

See Solution

Problem 1566

$\text{Substitute the values of } d \text{ and } q \text{ into the equation } q + d + n = 15 \text{ and solve for } n. \\ \text{The result is} \\ n = \\$
$\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$
$\text{Dialogue Transcript:}$
$\text{Hi there! It seems like there's some missing information that we need in order to solve the problem. Could you please provide the values of } d \text{ and } q \text{? Once we have those, we can help you find } n \text{.}$
$\text{yes}$
$\text{Great! Could you please share the values of } d \text{ and } q \text{ so we can proceed with solving for } n \text{?}$
$d \text{ equals } 1$
$\text{Thanks for providing the value of } d \text{. Could you also let me know the value of } q \text{? Once I have that, we can solve for } n \text{.}$
$q = 6$

See Solution

Problem 1567

7. A baseball player has (13) base hits out of 57 ) at bats for a current batting average of 2.228) How many consecutive base hits does he need if he wants to raise his batting average to 0.475 ? $\begin{array}{l} 13+x=0.228(57+x) \\ 13+x=12.996+0.228 x \\ -12.996=12.926 \\ \begin{aligned} 0.004+x & =0.228 x \\ -x & -1 x \end{aligned} \\ \frac{0.004}{-0.772}=-\frac{.772 / 4}{-8.7} \\ -0.772 \quad-\not .772 \end{array}$

See Solution

Problem 1568

$\begin{array}{l}y=x-4 \\ y=-3 x+8\end{array}$

See Solution

Problem 1569

$\begin{array}{l}6 x+8 y=-16 \\ -x-4 y=-8\end{array}$

See Solution

Problem 1570

$\begin{array}{l}x+y \geq 2 \\ 4 x+y \geq-1\end{array}$

See Solution

Problem 1571

Is $(1,9)$ a solution to this system of inequalities? $\begin{array}{l} y \geq 8 x+1 \\ y<x+9 \end{array}$ yes no

See Solution

Problem 1572

$2 x+\square=2(x+10)$ Submit

See Solution

Problem 1573

Is $(2,6)$ a solution to this system of inequalities? $\begin{array}{l} 3 x+2 y<18 \\ 13 x+y>10 \end{array}$ yes no

See Solution

Problem 1574

Is $(2,7)$ a solution to this system of inequalities? $\begin{array}{l} y>\frac{1}{2} x+1 \\ y>5 x-5 \end{array}$ yes no

See Solution

Problem 1575

Is $(3,3)$ a solution to this system of inequalities? $\begin{array}{l} 4 x+y \leq 15 \\ 2 x+4 y \leq 18 \end{array}$ yes no

See Solution

Problem 1576

Write an.equivalent expression. $\frac{4}{9}-\frac{1}{5} \cdot x$
Choose the correct answer below. A. $\frac{4}{9}-\frac{1}{5} \cdot x=-\frac{1}{5} x+\frac{4}{9}$ B. $\frac{4}{9}-\frac{1}{5} \cdot x=-\frac{1}{5}\left(\frac{4}{9}-x\right)$ C. $\frac{4}{9}-\frac{1}{5} \cdot x=x\left(\frac{4}{9}-\frac{1}{5}\right)$ D. $\frac{4}{9}-\frac{1}{5} \cdot x=\frac{1}{5} x-\frac{4}{9}$

See Solution

Problem 1577

Is $(-10,10)$ a solution to this system of inequalities? $\begin{array}{l} y \leq-x-1 \\ y \geq \frac{-1}{5} x+10 \end{array}$ yes no

See Solution

Problem 1578

Sami and Eve are buying supplies to paint a mural. Sami spends $\$ 78$ on 6 cans of paint and 2 brushes. Eve spends $\$ 27$ on 2 cans of paint and 1 brush. Find the cost of each item. $x$ : cost of a can of paint Sami: $6 x+2 y=78$ $y$ : cost of a brush Eve: $2 x+y=27$ Solve the system of equations. $(12,3)$
What is the cost of each item?
A can of paint costs \ $?$ \square $and a brush costs \$$ \square$ ?

See Solution

Problem 1579

What everyday life situation might each of these equations describe? a) $5-(-18)=t \rightarrow$ b) $-36+(-20)=t$ c) $-8-4=t$ d) $100-(-15)=t$

See Solution

Problem 1580

8.) To show how athletic she really is, Maggie challenges Kurt to a $300 \cdot$ meter race at the stadium. To embarrass Kurt in front of his friends, Maggie decides to start at the starting line, while her boyfriend Kurt is given a 40 -meter head start. Maggio runs the race at a rate of 6 metors per second; while Kurt ran the race at a rate of 4 meters per second. At what time will Kurt and Maggie be at the same distance? a. State Two Variables
Write the Two Linear Equations
Solve the System of Linear Equations

See Solution

Problem 1581

$5 x-10 \leq-55 \text { or }-35 \leq 5 x-10$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ or $\square$ Inequality Notation: $\square$
Number Line:

See Solution

Problem 1582

$2 \geq x+9 \text { or } 20<x+9$
Answer Attempt 1 out of 2 $\square$ $\square$ $\square$ $\square$ $\square$
Inequality Notation: $\square$ Number Line:

See Solution

Problem 1583

Find the equation of the line that passes through the point $(-8, -1)$ and has a slope of $-\frac{3}{4}$ .

See Solution

Problem 1584

Last week, Jay had $\$ 217$ in the bank, but this week, Jay is $\$ 28$ in debt. a) Write an equation that describes that situation. b) What does the solution to that equation tell you?

See Solution

Problem 1585

A woman owns a dog walking business. If 2 workers can walk 8 dogs, how many dogs can 3 workers walk?
10
14
12
16

See Solution

Problem 1586

12. Adesh made a mistake solving $w-27=53$ . $\begin{aligned} w-27 & =53 \\ w-27+27 & =53-27 \\ w & =26 \end{aligned}$
Identify Adesh's mistake, and explain what he should have done.

See Solution

Problem 1587

$(3 k+9)-(k+4)$

See Solution

Problem 1588

Describe how the graph of $y=2 x$ is the same and different from the graph of $y=2 x-7$ Explain or show your reasoning.

See Solution

Problem 1589

6. MJ is creating a graph of the equation $2 x+4 y=-8$ . Which of the following points will lie on the line? a. $(2,4)$ b. $(-2,-1)$ c. $(2,1)$ d. $(4,4)$

See Solution

Problem 1590

ems of Iline ar equations by 7. $\begin{array}{l} 8 x-7 y=-3 \\ 6 x-5 y=-1 \end{array}$

See Solution

Problem 1591

Question 9
Use the Distributive Property to expand $2(-3 x+5)$ . $+-x \div \left\lvert\, \frac{\square}{\square} \quad\right.$ ㅁ $\sqrt{\square} \sqrt{\square}|=\neq<>\leq \geq|$ () $\mid \pi$

See Solution

Problem 1592

Which expression is equivalent to $-8(10 x-3)$ ? (A) $-80 x-3$ (B) $-80 x-24$ (C) $-80 x+3$ (D) $-80 x+24$

See Solution

Problem 1593

Lucy is nine years less than three times the age of her daughter Chloe. In five years, she will be twice her daughter's age. How old is Chloe? $\qquad$

See Solution

Problem 1594

The bottom of Ignacio's desktop is 74.5 cm from the floor. Ignacio sits in his adjustable chair, and the tops of his legs are 49.3 cm from the floor. Each clockwise rotation of the knob on the chair raises lgnacio's legs by 4.8 cm .
Write an inequality to determine the number of clockwise rotations, $r$ . Ignacio could make with the knob without his legs touching the desk. $\square$ What is the solution set of the inequality? $r$ $\square$ $|x|<\mid \leq$ $\square$

See Solution

Problem 1595

$T-24 \leq 48$

See Solution

Problem 1596

Is $m=-6$ a solution to the inequality below? $-39>-5 m$ yes no

See Solution

Problem 1597

Simplify $11-4 y-6$

See Solution

Problem 1598

ix . Is $t=3$ a solution to the inequality below? $73>6 t+8$
部 yes no

See Solution

Problem 1599

All work must be shown to receive full or partial credit
1. Use a system of equations to solve the following: How many ounces of a $15 \%$ acid solution and how many ounces of a $25 \%$ acid solution should produce 20 ounces of a $20 \%$ acid solution? Show all work. answer with a complete sentence.

See Solution

Problem 1600

$\begin{array}{l} -4 x-8 y=-16 \\ -4 x-7 y=-9 \end{array}$
The ordered pair $\square$ is a solution.

See Solution

Linearity

Problem 1501

Combine like terms to simplify the 4x+4−5x4 x+4-5 x4x+4−5x □\square□ (Simplify your answer.)

Problem 1502

What is the x -intercept for this linear equation? 12x−23y=−6\frac{1}{2} x-\frac{2}{3} y=-621​x−32​y=−6

Problem 1503

Last week, Jay had $217\$ 217$217 in the bank, but this week, Jay is $28\$ 28$28 in debt. a) Write an equation that describes that situation. b) What does the solution to that equation tell you?

Problem 1504

12. 17.3+v=22.3217.3+v=22.3217.3+v=22.32

Problem 1505

Algebra Ethan went to the farmers market and bought 57 pieces of fruit. He bought 15 pears, 22 apples, and some peaches. Write an equation to help solve the problem. Use an unknown to represent the number of peaches.

Problem 1506

Problem 1507

10. −34x−13+78x−12-\frac{3}{4} x-\frac{1}{3}+\frac{7}{8} x-\frac{1}{2}−43​x−31​+87​x−21​

Problem 1508

Problem 1509

Problem 1510

Problem 1511

\begin{align*} \text{Solve each compound inequality and graph it:} \\ 1) & \quad 1 + 7n < 1 - 10n < 4 - 9n \\ 2) & \quad 2n - 3 \leq 3n + 3 < 9 + n \end{align*}

Problem 1512

Question 18 of 25 What is the slope-intercept equation for the line below? A. y=2x+1y=2 x+1y=2x+1 B. y=12x+1y=\frac{1}{2} x+1y=21​x+1 C. y=−2x+1y=-2 x+1y=−2x+1 D. y=−12x+1y=-\frac{1}{2} x+1y=−21​x+1

Problem 1513

Solve the system by using Gaussian elimination of Gauss-Jordan elimination. −2x−3y+5z=−10x+2y+2z=105x−3y+2z=29\begin{aligned} -2 x-3 y+5 z & =-10 \\ x+2 y+2 z & =10 \\ 5 x-3 y+2 z & =29 \end{aligned}−2x−3y+5zx+2y+2z5x−3y+2z​=−10=10=29​

Problem 1514

4. A line has a slope of 56\frac{5}{6}65​ and passes through the point (−12,−14)(-12,-14)(−12,−14). a) Write the equation y=mx+by=m x+by=mx+b with the given slope substituted for mmm.

Problem 1515

Problem 1516

Problem 1517

Solve the system of linear equations by elimination. −y−10=6x5x+y=−10\begin{array}{l} -y-10=6 x \\ 5 x+y=-10 \end{array}−y−10=6x5x+y=−10​The solution is: ( □\square□ , □\square□

Problem 1518

Problem 1519

Solve the system of linear equations by elimination. x+2y=13−x+y=5\begin{array}{l} x+2 y=13 \\ -x+y=5 \end{array}x+2y=13−x+y=5​The solution is: ( □\square□ □\square□

Problem 1520

3t−24−2t+33=23−t\frac{3 t-2}{4}-\frac{2 t+3}{3}=\frac{2}{3}-t43t−2​−32t+3​=32​−t

Problem 1521

Problem 1522

Solve the system by elimination. 4x−3y=85x−2y=−11\begin{array}{l} 4 x-3 y=8 \\ 5 x-2 y=-11 \end{array}4x−3y=85x−2y=−11​The solution is: □\square□ , )

Problem 1523

(齐) Solve for yyy. y−−9=19y=\begin{array}{l} y--9=19 \\ y= \end{array}y−−9=19y=​ Submit

Problem 1524

y=−2x+14y=−3x−11\begin{array}{l} y=-2 x+14 \\ y=-3 x-11 \end{array}y=−2x+14y=−3x−11​ yes no

Problem 1525

Graph this line: y+2=−13(x−2)y+2=-\frac{1}{3}(x-2)y+2=−31​(x−2)Click to select points on the graph.

Problem 1526

Solve for yyy in terms of xxx. 3x−2y=8y=□\begin{array}{l} 3 x-2 y=8 \\ y=\square \end{array}3x−2y=8y=□​

Problem 1527

Solve the inequality. Graph the solution set. 6<54a−46<\frac{5}{4} a-46<45​a−4Use the tools to enter your answer. (1) [] ] WebAssign NumberLineWrite the solution set using interval notation. (If there is no solution, enter NO SOLUTION. □\square□

Problem 1528

−8x−9y=−4−8x−7y=4\begin{array}{l}-8 x-9 y=-4 \\ -8 x-7 y=4\end{array}−8x−9y=−4−8x−7y=4​

Problem 1529

x+8y=−13−3x−2y=−5\begin{array}{l}x+8 y=-13 \\ -3 x-2 y=-5\end{array}x+8y=−13−3x−2y=−5​

Problem 1530

5x−6y=75x−5y=5\begin{array}{l}5 x-6 y=7 \\ 5 x-5 y=5\end{array}5x−6y=75x−5y=5​

Problem 1531

Problem 1532

Problem 1533

What is the solution to the equation? −5=x11-5=\frac{x}{11}−5=11x​Enter your answer in the box. x=x=x=

Problem 1534

15+18y−10−4y+(6−y−8)15+18 y-10-4 y+(6-y-8)15+18y−10−4y+(6−y−8)

Problem 1535

OPEN-ENDED Write a system of linear equations that fits the description. Use a graph to justify your answer. The solution of the system is a point on the line y=−9x+1y=-9 x+1y=−9x+1. B 1 U‾\underline{U}U​ T2\mathrm{T}^{2}T2 T2\mathrm{T}_{2}T2​ Line Undo Redo Reset

Problem 1536

−5x−2y=−32x+4y=−18\begin{array}{l}-5 x-2 y=-3 \\ 2 x+4 y=-18\end{array}−5x−2y=−32x+4y=−18​

Problem 1537

4x−6y=47x−7y=−7\begin{array}{l}4 x-6 y=4 \\ 7 x-7 y=-7\end{array}4x−6y=47x−7y=−7​

Problem 1538

−5x+8y=−66x−10y=10\begin{array}{l}-5 x+8 y=-6 \\ 6 x-10 y=10\end{array}−5x+8y=−66x−10y=10​

Problem 1539

Pythagoras/Irrational Numbers: Unit 8 Show work!Evaluate the expression: x+8−y−xx+8-y-xx+8−y−xIf x=2x=2x=2 and y=−3y=-3y=−3

Problem 1540

Question 2 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+2y=12y=x+3\begin{array}{l} x+2 y=12 \\ y=x+3 \end{array}x+2y=12y=x+3​ A. (2,1)(2,1)(2,1) B. (2,5)(2,5)(2,5) C. (5,8)(5,8)(5,8) D. (5,2)(5,2)(5,2) SUBmit

Problem 1541

Question 3 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x+3y=13x=2\begin{array}{l} 2 x+3 y=13 \\ x=2 \end{array}2x+3y=13x=2​ A. (2,3)(2,3)(2,3) B. (3,2)(3,2)(3,2) C. (2,4)(2,4)(2,4) D. (3,3)(3,3)(3,3) SUBMIT

Problem 1542

Question 3 of 10 Solve the system of equations and choose the correct ordered pair. 2x+6y=63x−2y=20\begin{array}{l} 2 x+6 y=6 \\ 3 x-2 y=20 \end{array}2x+6y=63x−2y=20​ A. (6,−1)(6,-1)(6,−1) B. (6,−2)(6,-2)(6,−2) C. (3,0)(3,0)(3,0) D. (3,2)(3,2)(3,2)

Problem 1543

Question 4 of 10Use the elimination method to solve the system of equations. Choose the correct ordered pair. 6x+4y=32−6x+4y=8\begin{array}{l} 6 x+4 y=32 \\ -6 x+4 y=8 \end{array}6x+4y=32−6x+4y=8​ A. (1,5)(1,5)(1,5) B. (4,2)(4,2)(4,2) C. (2,5)(2,5)(2,5) D. (0,8)(0,8)(0,8)

Problem 1544

Problem 1545

3a. 7v−3=5+3(v+2)7 v-3=5+3(v+2)7v−3=5+3(v+2)

Combine like terms to simplify the $4 x+4-5 x$ $\square$ (Simplify your answer.)

What is the x -intercept for this linear equation? $\frac{1}{2} x-\frac{2}{3} y=-6$

Last week, Jay had $\$ 217$ in the bank, but this week, Jay is $\$ 28$ in debt. a) Write an equation that describes that situation. b) What does the solution to that equation tell you?

12. $17.3+v=22.32$

10. $-\frac{3}{4} x-\frac{1}{3}+\frac{7}{8} x-\frac{1}{2}$

\begin{align} \text{Solve each compound inequality and graph it:} \\ 1) & \quad 1 + 7n < 1 - 10n < 4 - 9n \\ 2) & \quad 2n - 3 \leq 3n + 3 < 9 + n \end{align}

Question 18 of 25 What is the slope-intercept equation for the line below? A. $y=2 x+1$ B. $y=\frac{1}{2} x+1$ C. $y=-2 x+1$ D. $y=-\frac{1}{2} x+1$

Solve the system by using Gaussian elimination of Gauss-Jordan elimination. $\begin{aligned} -2 x-3 y+5 z & =-10 \\ x+2 y+2 z & =10 \\ 5 x-3 y+2 z & =29 \end{aligned}$

4. A line has a slope of $\frac{5}{6}$ and passes through the point $(-12,-14)$ . a) Write the equation $y=m x+b$ with the given slope substituted for $m$ .

Solve the system of linear equations by elimination. $\begin{array}{l} -y-10=6 x \\ 5 x+y=-10 \end{array}$
The solution is: ( $\square$ , $\square$

Solve the system of linear equations by elimination. $\begin{array}{l} x+2 y=13 \\ -x+y=5 \end{array}$
The solution is: ( $\square$ $\square$

$\frac{3 t-2}{4}-\frac{2 t+3}{3}=\frac{2}{3}-t$

Solve the system by elimination. $\begin{array}{l} 4 x-3 y=8 \\ 5 x-2 y=-11 \end{array}$
The solution is: $\square$ , )

(齐) Solve for $y$ . $\begin{array}{l} y--9=19 \\ y= \end{array}$ Submit

$\begin{array}{l} y=-2 x+14 \\ y=-3 x-11 \end{array}$ yes no

Graph this line: $y+2=-\frac{1}{3}(x-2)$
Click to select points on the graph.

Solve for $y$ in terms of $x$ . $\begin{array}{l} 3 x-2 y=8 \\ y=\square \end{array}$

Solve the inequality. Graph the solution set. $6<\frac{5}{4} a-4$
Use the tools to enter your answer. (1) [] ] WebAssign NumberLine
Write the solution set using interval notation. (If there is no solution, enter NO SOLUTION. $\square$

$\begin{array}{l}-8 x-9 y=-4 \\ -8 x-7 y=4\end{array}$

$\begin{array}{l}x+8 y=-13 \\ -3 x-2 y=-5\end{array}$

$\begin{array}{l}5 x-6 y=7 \\ 5 x-5 y=5\end{array}$

What is the solution to the equation? $-5=\frac{x}{11}$
Enter your answer in the box. $x=$

$15+18 y-10-4 y+(6-y-8)$

OPEN-ENDED Write a system of linear equations that fits the description. Use a graph to justify your answer. The solution of the system is a point on the line $y=-9 x+1$ . B 1 $\underline{U}$ $\mathrm{T}^{2}$ $\mathrm{T}_{2}$ Line Undo Redo Reset

$\begin{array}{l}-5 x-2 y=-3 \\ 2 x+4 y=-18\end{array}$

$\begin{array}{l}4 x-6 y=4 \\ 7 x-7 y=-7\end{array}$

$\begin{array}{l}-5 x+8 y=-6 \\ 6 x-10 y=10\end{array}$

Pythagoras/Irrational Numbers: Unit 8 Show work!
Evaluate the expression: $x+8-y-x$
If $x=2$ and $y=-3$

Question 2 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} x+2 y=12 \\ y=x+3 \end{array}$ A. $(2,1)$ B. $(2,5)$ C. $(5,8)$ D. $(5,2)$ SUBmit

Question 3 of 10 Use the substitution method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} 2 x+3 y=13 \\ x=2 \end{array}$ A. $(2,3)$ B. $(3,2)$ C. $(2,4)$ D. $(3,3)$ SUBMIT

Question 3 of 10 Solve the system of equations and choose the correct ordered pair. $\begin{array}{l} 2 x+6 y=6 \\ 3 x-2 y=20 \end{array}$ A. $(6,-1)$ B. $(6,-2)$ C. $(3,0)$ D. $(3,2)$

Question 4 of 10
Use the elimination method to solve the system of equations. Choose the correct ordered pair. $\begin{array}{l} 6 x+4 y=32 \\ -6 x+4 y=8 \end{array}$ A. $(1,5)$ B. $(4,2)$ C. $(2,5)$ D. $(0,8)$

3a. $7 v-3=5+3(v+2)$

Question 5 of 10
Add the equations. $\begin{array}{r} 3 x-y=-1 \\ +-3 x+3 y=27 \\ \hline \square \end{array}$ A. $-2 y=-28$ B. $6 x-4 y=-28$ C. $4 y=28$ D. $2 y=26$

$\begin{array}{l}3 x-2 y=-17 \\ y=4 \\ (\square, \square\end{array}$

$\begin{array}{l}x=-4 \\ 6 x-10 y=6\end{array}$

$\begin{array}{l}y=6 \\ -8 x+10 y=-4\end{array}$

$\begin{array}{l}y=-9 \\ -7 x+6 y=-5\end{array}$

Julie is reading a 480 page book. She reads the iirst ৪U pages. If Julie continues to read at the same rate, how long will it take her to finish the book? Solve on scrap paper first if you need to. It will take Julie $\square$ days to finish the book.

$\begin{array}{l}x=-9 \\ 8 x-9 y=-9\end{array}$

$6+3 u=-9$
Simplify your answer as much as possible. $u=$

Watch Video olve for $a$ . $-1.54=1.1+1.2 a$
Answer Altemptiout of 2 $a=\square$ Submit Answer

$-1=\frac{x}{2}-5$
Simplify your answer as much as possible. $x=$ $\square$

$\begin{array}{l}y=2 x-1 \\ y=3 x-4\end{array}$

Lydia is reading a 400 page book. She reads the first 40 pages in 4 days.
If Lydia continues to read at the same rate, how long will it take her to finish the book? Solve on scrap paper first if you need to. It will take Lydia $\square$ days to finish the book.

$\begin{array}{l}6 x+y=8 \\ 3 x-2 y=14\end{array}$

$\begin{array}{l}y=x-4 \\ y=-3 x+8\end{array}$

$\begin{array}{l}6 x+8 y=-16 \\ -x-4 y=-8\end{array}$

$\begin{array}{l}x+y \geq 2 \\ 4 x+y \geq-1\end{array}$

Is $(1,9)$ a solution to this system of inequalities? $\begin{array}{l} y \geq 8 x+1 \\ y<x+9 \end{array}$ yes no

$2 x+\square=2(x+10)$ Submit

Is $(2,6)$ a solution to this system of inequalities? $\begin{array}{l} 3 x+2 y<18 \\ 13 x+y>10 \end{array}$ yes no

Is $(2,7)$ a solution to this system of inequalities? $\begin{array}{l} y>\frac{1}{2} x+1 \\ y>5 x-5 \end{array}$ yes no