Solve

Problem 21901

Rahquez and Hu have 203 books total. If Rahquez has 35 more than Hu, find how many books Hu has.

See Solution

Problem 21902

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = $\frac{\text{side in B}}{\text{corresponding side in A}}$ .

See Solution

Problem 21903

Solve the equation: $\frac{1}{2} x + \frac{1}{2} x = x + 1$ .

See Solution

Problem 21904

Solve the equation: $\frac{1}{3}(9 x+3)=3 x+1$ .

See Solution

Problem 21905

Find the reference angle for $\theta=570^{\circ}$ and the angle $\theta_{C}=210^{\circ}$ in quadrant III. What is $\theta_{R}=\square^{\circ}$ ?

See Solution

Problem 21906

An organism has $20 \mathrm{~g}$ of carbon-14. After 11,400 years (2 half-lives), how much remains? a) 0 g b) 2.5 g c) 5 g d) 10 g

See Solution

Problem 21907

Estimate the age of a fossil with $16 \mathrm{~g}$ of carbon-14 from an initial $32 \mathrm{~g}$ .

See Solution

Problem 21908

A $15 \mathrm{~cm}$ wire is cut into two pieces. The longer piece is $5 \mathrm{~cm}$ longer than the shorter. Find the shorter piece's length.

See Solution

Problem 21909

What percentage of carbon-14 is left after 34,200 years? a $0 \%$ b $1.56 \%$ c $3.02 \%$ d $10.5 \%$

See Solution

Problem 21910

Solve for $\square$ in the equations: a) $8 \cdot \square=40$ , b) $8+\square=40$ , c) $21 \div \square=7$ , d) $21-\square=7$ , e) $21 \cdot \square=7$ .

See Solution

Problem 21911

Calculate the total cost for 8 items at \$25 each plus a \$17.50 fee. Total \$ (\#\#\#.\#)

See Solution

Problem 21912

Find three consecutive natural numbers that add up to 1074. What are the numbers in increasing order?

See Solution

Problem 21913

Find the values for the following equations given $a=11$ and $b=3$ : $2a + 3b$ , $a^2 - b + 10$ , $(ab)^2 - (a+b)^2$ .

See Solution

Problem 21914

Find the reference angle for $\theta=-420^{\circ}$ and the least nonnegative coterminal angle. $\theta_{\mathrm{C}}=$

See Solution

Problem 21915

Find the probabilities of these spins: red first, cyan second, blue third; blue first, blue second, red third; red on all spins.

See Solution

Problem 21916

Find the reference angle for $\theta=-420^{\circ}$ and the least nonnegative coterminal angle. What is $\theta_{R}$ ?

See Solution

Problem 21917

Rhianna has 1 blue, 1 white, and 1 red marble. Find the probabilities of drawing marbles with replacement: a) Blue, then red = b) Red, then white = c) Blue, then blue, then blue =

See Solution

Problem 21918

Let your brother's age be $x$ . Then your cousin's age is $x + 8$ . Three years ago, $x + 8 - 3 = 2(x - 3)$ . Find $x$ .

See Solution

Problem 21919

Find the final diameter of a cylinder initially $3.63^{\prime \prime}$ after machining it $0.030^{\prime \prime}$ oversize.

See Solution

Problem 21920

What is the total thickness of spacer shims measuring $0.050 \mathrm{~mm}$ , $0.003 \mathrm{~mm}$ , and $0.010 \mathrm{~mm}$ when stacked?

See Solution

Problem 21921

Solve $|2x + 3| + 9 = 20$ . Find the values of $x$ .

See Solution

Problem 21922

Find the inverse function $\mathrm{f}^{-1}(\mathrm{x})$ for $f(x)=x+4$ . What is $f^{-1}(x)=?$

See Solution

Problem 21923

Find the probability of correctly guessing both answers in a 2-question quiz with 3 choices each. Round to one decimal place.

See Solution

Problem 21924

What is the tire's load capacity at 26 psi if it is 196 lb less than 1949 lb at 32 psi?

See Solution

Problem 21925

Romina can spend up to \$40 on a car rental that costs \$19.95 plus \$0.17 per mile. How many miles can she drive? (Round down)

See Solution

Problem 21926

What is the probability that both of two randomly chosen students wear glasses if $20\%$ of students do? Round to three decimal places.

See Solution

Problem 21927

Katrina has 60 GB of storage; her father has 10 times that. How much storage does he have? Show your work.

See Solution

Problem 21928

Calculate the usable tread depth of a tire if new depth is $9.94 \mathrm{~mm}$ and worn out depth is $1.59 \mathrm{~mm}$ .

See Solution

Problem 21929

One angle is $66^{\circ}$ , and the third angle is $57^{\circ}$ more than half the second angle. Find the second and third angles.

See Solution

Problem 21930

Find the inverse function $f^{-1}(x)$ for $f(x) = 8x + 5$ . What is $f^{-1}(x)$ ?

See Solution

Problem 21931

What is the total voltage from 38 battery packs, each producing 7.4 volts? Calculate $38 \times 7.4$ .

See Solution

Problem 21932

Solve the equation $2|2x+3|=|x-3|$ for the values of $x$ . What are the solutions?

See Solution

Problem 21933

Find the inverse of the one-to-one function $f(x)=2x-5$ . What is $f^{-1}(x)$ ?

See Solution

Problem 21934

Brigeth has 5 chocolate chip, 5 peanut butter, 4 sugar, and 9 oatmeal cookies. Find the probability of selecting 2 chocolate chip cookies.

See Solution

Problem 21935

Two similar triangles have sides $7x$ and $70$ for the first, and $120$ and $60$ for the second. Find $x$ .

See Solution

Problem 21936

Find the inverse of $f(x)=-5 x+10$ and identify the graphs of $f(x)$ and its inverse.

See Solution

Problem 21937

Katrina saved \$200. Her father spent 10 times that. What is the cost of her father's computer? Explain your answer.

See Solution

Problem 21938

Find the inverse function $f^{-1}(x)$ for $f(x)=x+7$ and calculate $f^{-1}(-2)$ .

See Solution

Problem 21939

A jar has 6 red marbles (1-6) and 8 blue marbles (1-8). Find the probabilities for these scenarios:
a) If a blue marble is chosen, what's the chance it's numbered 3? b) If a marble with number 1 is chosen, what's the chance it's blue?

See Solution

Problem 21940

Solve $9 y - 2 x = 1$ for $y$ . The solution is $y = \frac{2 x + 1}{9}$ .

See Solution

Problem 21941

Find three consecutive odd integers that sum to 63 using the expression $2n + 1$ .

See Solution

Problem 21942

Fill in the blanks: a. 4 times 3 is $12$ . b. 10 times 9 is $90$ . c. 700 is 10 times $70$ . d. 8,000 is $10$ times 800.

See Solution

Problem 21943

Evaluate the expression $\left[\frac{8}{11} x^{11 / 8}\right]_{0}^{1}$ .

See Solution

Problem 21944

Solve the equation: $\frac{3}{4}(x+6)=-\frac{1}{4} x$ . What is the solution?

See Solution

Problem 21945

What is the probability that in a random selection of 4 Americans, all, none, or at least one supports school funding? Use $p = 0.6$ .

See Solution

Problem 21946

Jesse has $41 \frac{1}{4}$ inches of ribbon and uses $3 \frac{3}{4}$ inches per bow. How many bows can she make? Write a division expression. Also, estimate using compatible numbers.

See Solution

Problem 21947

An executive earns a yearly total of 83600 dollars, including a 7400 dollar bonus. Find her monthly salary $S$ .

See Solution

Problem 21948

Find the pot of gold at the end of the rainbow:
1. $(4-2) \times 4$
2. $+5-7$
3. $\times(4-3)$

See Solution

Problem 21949

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

See Solution

Problem 21950

Solve for $l$ in the perimeter formula of a rectangle: $p=2 l+2 w$ . What is the expression for $l$ ?

See Solution

Problem 21951

What is the probability that at least one of four randomly selected people has been vaccinated if $66\%$ are vaccinated? Round to three decimal places.

See Solution

Problem 21952

Find the square root of $-5+12 i$ in the form $a+bi$ , where $a, b \in \mathbb{R}$ .

See Solution

Problem 21953

Calculate: $3 \times(4-3)=$

See Solution

Problem 21954

A room is 6 m longer than wide, with a perimeter of 36 m. Find the length and width of the room.

See Solution

Problem 21955

Aaron filled the bird bath with 58 ounces. After blue jays drank 3.18 and a vulture drank $14 \frac{2}{5}$ , how much is left?

See Solution

Problem 21956

What is the probability of selecting 4 brown eggs from 7 brown and 49 white eggs when choosing 4 eggs at random? Provide your answer as a decimal or in scientific notation with at least 3 significant digits. Use "*" for multiplication.

See Solution

Problem 21957

Tomas's grandfather is 100 years old and 10 times Tomas's age. Find Tomas's age.

See Solution

Problem 21958

Jodie spent $30 \frac{1}{4}$ seconds climbing and 11.78 seconds on ropes. How much time is left to reach 73.4 seconds?

See Solution

Problem 21959

At the fair, the male to female ratio is $5:2$ . With 175 people total, how many males are there?

See Solution

Problem 21960

Find $p$ and $q$ if $3+2i$ is a root of $z^{2}+pz+q=0$ with $p, q \in \mathbb{R}$ .

See Solution

Problem 21961

A room is 3 times longer than wide with a perimeter of 64 m. Find the length and width in meters.

See Solution

Problem 21962

What is the probability of drawing a King or an odd-valued card from a standard deck? Provide your answer as a fraction or decimal (3 decimal places).

See Solution

Problem 21963

Find values of $x$ such that $y_{1}=\frac{x-4}{4}, y_{2}=\frac{x-11}{5}$ and $y_{1}-y_{2}=1$ . Choose A, B, or C.

See Solution

Problem 21964

Find the distance, midpoint, and slope of the line between points $(2,-2)$ and $(5,2)$ .

See Solution

Problem 21965

Solve for $W$ in the equation $S=2 L H+(2 L+2 H) W$ .

See Solution

Problem 21966

Solve the equation $f(x p + u) = j + a$ for $f$ and $p$ . Find: $f =$ and $p =$ .

See Solution

Problem 21967

Calculate work done with $5 \mathrm{~N}$ force moving an object 25 meters. Choices: 5 J, 20 J, 30 J, 125 J.

See Solution

Problem 21968

Find $P(A$ or $B)$ given $P(A)=0.4$ , $P(B)=0.5$ , and $P(A \text{ and } B)=0.3$ . Round to two decimal places.

See Solution

Problem 21969

Manfred's gym costs \$25 yearly plus a monthly fee. After 3 years, he paid \$579. Find his monthly payment.

See Solution

Problem 21970

Find $P(B)$ given $P(A)=0.4$ , $P(A \text{ or } B)=0.95$ , and $P(A \text{ and } B)=0.3$ . Round to two decimal places.

See Solution

Problem 21971

Find the probability that a randomly selected student is taking a math or English class, given $68\%$ in math, $75\%$ in English, and $60\%$ in both. Round your answer to two decimal places.

See Solution

Problem 21972

Calculate: 6 ÷ 2, (1/4 + 3/4) x, and 58 - 7 × 1.

See Solution

Problem 21973

Calculate $-12 \div(-3)$ .

See Solution

Problem 21974

Find values of $x$ where $y_{1} + y_{2} = y_{3}$ with $y_{1}=\frac{3}{x+3}$ , $y_{2}=\frac{5}{x+2}$ , $y_{3}=\frac{12x+5}{x^2+5x+6}$ .

See Solution

Problem 21975

What is the probability of drawing a heart or an ace from a standard deck of cards? Round your answer to three decimal places.

See Solution

Problem 21976

Solve for $y$ : $\frac{x}{2}+\frac{y}{9}=1$ . What is $y$ ?

See Solution

Problem 21977

Find the probability that a randomly chosen student is male OR received a grade of "B" from the data:
Males: A=20, B=3, C=6; Females: A=17, B=9, C=12. Total=67. Round your answer to three decimal places.

See Solution

Problem 21978

7.65 m equals how many cm?

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Problem 21979

Calculate the area of a triangle with base 10m and height 8m using $Area = \frac{1}{2} \cdot base \cdot height$ .

See Solution

Problem 21980

Calculate $10 \div (-4)$ . What is the result?

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Problem 21981

What is the probability that a randomly chosen athlete plays football or basketball, given $45\%$ are football players, $25\%$ are basketball players, and $19\%$ play both? Enter as a whole number percentage.

See Solution

Problem 21982

A company’s buses make 480,000 trips and another 44,100. Find the total trips. Estimate the sums for:
1. $319,587 + 167,259$
2. $9,114 + 5,697$
3. $82,349 + 16,624$

See Solution

Problem 21983

Find all values of $x$ such that $y_{1} + y_{2} = y_{3}$ , where $y_{1}=\frac{4}{x+6}, y_{2}=\frac{5}{x+3}, y_{3}=\frac{12 x+30}{x^{2}+9 x+18}$ . Choices: A, B, C.

See Solution

Problem 21984

A bookcase has 4 shelves. Width is 11 ft less than 3 times height. Total lumber is 26 ft. Find width and height.

See Solution

Problem 21985

Mr. Michaels has 40 m of wire. After wiring 16 lamps (0.45 m each), 12 wall lights (0.7 m each), and 1 floor lamp (2.6 m), how much is left? A) 7.2 m B) 18.2 m C) 21.8 m D) 15.6 m

See Solution

Problem 21986

Find the width of a 70" TV with a 16:9 aspect ratio. Options: $80.33^{\prime \prime}$ , $39.4^{\prime \prime}$ , $61^{\prime \prime}$ , $44.8^{\prime \prime}$ .

See Solution

Problem 21987

Solve for $x$ in the equation: $y_{1}=\frac{3}{x+6}, y_{2}=\frac{4}{x+4}, y_{3}=\frac{9 x+28}{x^{2}+10 x+24}$ , where $y_{1}+y_{2}=y_{3}$ .

See Solution

Problem 21988

Convert 10.7 m to cm using 1 m = 100 cm. What is $10.7 \times 100$ ?

See Solution

Problem 21989

Convert 10.7 meters to centimeters using the conversion factor: 1 meter = 100 centimeters.

See Solution

Problem 21990

A bank loaned out \$7,500 at 6\% and 15\% interest, earning \$765 total. Find the amounts loaned at each rate.

See Solution

Problem 21991

Find $x$ such that $y_{1}=\frac{3}{x+6}, y_{2}=\frac{4}{x+4}, y_{3}=\frac{9x+28}{x^2+10x+24}$ and $y_{1}+y_{2}=y_{3}$ .

See Solution

Problem 21992

Calculate: $165 \frac{1}{4} \div 41 \frac{1}{4} =$

See Solution

Problem 21993

Find $x$ when $y=0$ for the equation $y=2[x-(3-x)]-3(x+1)$ . Choose A, B, or C for the solution.

See Solution

Problem 21994

Given a group of students' grades and gender, find the following probabilities:
A. Probability student is male: B. Probability student is male AND got a "C": C. Probability student is male OR got a "C": D. Probability student is male GIVEN they got a 'C':
Use totals: Males = 37, Females = 23, Total = 60.

See Solution

Problem 21995

Find $x$ values where $y=0$ for $y=\frac{x+6}{3x-12}-\frac{7}{x-4}-\frac{2}{3}$ . Choices: A, B, C.

See Solution

Problem 21996

Find $x$ where $y=0$ for $y=\frac{x+3}{7x-35}-\frac{3}{x-5}-\frac{2}{7}$ .

See Solution

Problem 21997

Find the acute angle $x$ that the long diagonal of the parallelogram makes with Bridge Road, given $120^{\circ}$ and $25^{\circ}$ .

See Solution

Problem 21998

Find the quotient of $5 \frac{3}{8} \div 7 \frac{1}{4}$ .

See Solution

Problem 21999

How long will it take George to mop a $95 \mathrm{ft}$ by $50 \mathrm{ft}$ gym floor if he mops $34 \mathrm{ft}^{2}$ per minute?

See Solution

Problem 22000

Find $g(f(x))$ for $f(x)=x-3$ and $g(x)=x^{2}-4$ .

See Solution

1 ...217 218 219 220 221 222 223 ...307

Solve

Problem 21901

Rahquez and Hu have 203 books total. If Rahquez has 35 more than Hu, find how many books Hu has.

Problem 21902

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = side in Bcorresponding side in A\frac{\text{side in B}}{\text{corresponding side in A}}corresponding side in Aside in B​.

Problem 21903

Solve the equation: 12x+12x=x+1\frac{1}{2} x + \frac{1}{2} x = x + 121​x+21​x=x+1.

Problem 21904

Solve the equation: 13(9x+3)=3x+1\frac{1}{3}(9 x+3)=3 x+131​(9x+3)=3x+1.

Problem 21905

Find the reference angle for θ=570∘\theta=570^{\circ}θ=570∘ and the angle θC=210∘\theta_{C}=210^{\circ}θC​=210∘ in quadrant III. What is θR=□∘\theta_{R}=\square^{\circ}θR​=□∘?

Problem 21906

An organism has 20 g20 \mathrm{~g}20 g of carbon-14. After 11,400 years (2 half-lives), how much remains? a) 0 g b) 2.5 g c) 5 g d) 10 g

Problem 21907

Estimate the age of a fossil with 16 g16 \mathrm{~g}16 g of carbon-14 from an initial 32 g32 \mathrm{~g}32 g.

Problem 21908

A 15 cm15 \mathrm{~cm}15 cm wire is cut into two pieces. The longer piece is 5 cm5 \mathrm{~cm}5 cm longer than the shorter. Find the shorter piece's length.

Problem 21909

What percentage of carbon-14 is left after 34,200 years? a 0%0 \%0% b 1.56%1.56 \%1.56% c 3.02%3.02 \%3.02% d 10.5%10.5 \%10.5%

Problem 21910

Solve for □\square□ in the equations: a) 8⋅□=408 \cdot \square=408⋅□=40, b) 8+□=408+\square=408+□=40, c) 21÷□=721 \div \square=721÷□=7, d) 21−□=721-\square=721−□=7, e) 21⋅□=721 \cdot \square=721⋅□=7.

Problem 21911

Calculate the total cost for 8 items at \$25 each plus a \$17.50 fee. Total \$ (\#\#\#.\#)

Problem 21912

Find three consecutive natural numbers that add up to 1074. What are the numbers in increasing order?

Problem 21913

Find the values for the following equations given a=11a=11a=11 and b=3b=3b=3: 2a+3b2a + 3b2a+3b, a2−b+10a^2 - b + 10a2−b+10, (ab)2−(a+b)2(ab)^2 - (a+b)^2(ab)2−(a+b)2.

Problem 21914

Find the reference angle for θ=−420∘\theta=-420^{\circ}θ=−420∘ and the least nonnegative coterminal angle. θC=\theta_{\mathrm{C}}=θC​=

Problem 21915

Find the probabilities of these spins: red first, cyan second, blue third; blue first, blue second, red third; red on all spins.

Problem 21916

Find the reference angle for θ=−420∘\theta=-420^{\circ}θ=−420∘ and the least nonnegative coterminal angle. What is θR\theta_{R}θR​?

Problem 21917

Rhianna has 1 blue, 1 white, and 1 red marble. Find the probabilities of drawing marbles with replacement: a) Blue, then red = b) Red, then white = c) Blue, then blue, then blue =

Problem 21918

Let your brother's age be xxx. Then your cousin's age is x+8x + 8x+8. Three years ago, x+8−3=2(x−3)x + 8 - 3 = 2(x - 3)x+8−3=2(x−3). Find xxx.

Problem 21919

Find the final diameter of a cylinder initially 3.63′′3.63^{\prime \prime}3.63′′ after machining it 0.030′′0.030^{\prime \prime}0.030′′ oversize.

Problem 21920

What is the total thickness of spacer shims measuring 0.050 mm0.050 \mathrm{~mm}0.050 mm, 0.003 mm0.003 \mathrm{~mm}0.003 mm, and 0.010 mm0.010 \mathrm{~mm}0.010 mm when stacked?

Problem 21921

Solve ∣2x+3∣+9=20|2x + 3| + 9 = 20∣2x+3∣+9=20. Find the values of xxx.

Problem 21922

Find the inverse function f−1(x)\mathrm{f}^{-1}(\mathrm{x})f−1(x) for f(x)=x+4f(x)=x+4f(x)=x+4. What is f−1(x)=?f^{-1}(x)=?f−1(x)=?

Problem 21923

Find the probability of correctly guessing both answers in a 2-question quiz with 3 choices each. Round to one decimal place.

Problem 21924

What is the tire's load capacity at 26 psi if it is 196 lb less than 1949 lb at 32 psi?

Problem 21925

Romina can spend up to \$40 on a car rental that costs \$19.95 plus \$0.17 per mile. How many miles can she drive? (Round down)

Problem 21926

What is the probability that both of two randomly chosen students wear glasses if 20%20\%20% of students do? Round to three decimal places.

Problem 21927

Katrina has 60 GB of storage; her father has 10 times that. How much storage does he have? Show your work.

Problem 21928

Calculate the usable tread depth of a tire if new depth is 9.94 mm9.94 \mathrm{~mm}9.94 mm and worn out depth is 1.59 mm1.59 \mathrm{~mm}1.59 mm.

Problem 21929

One angle is 66∘66^{\circ}66∘, and the third angle is 57∘57^{\circ}57∘ more than half the second angle. Find the second and third angles.

Problem 21930

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=8x+5f(x) = 8x + 5f(x)=8x+5. What is f−1(x)f^{-1}(x)f−1(x)?

Problem 21931

What is the total voltage from 38 battery packs, each producing 7.4 volts? Calculate 38×7.438 \times 7.438×7.4.

Problem 21932

Solve the equation 2∣2x+3∣=∣x−3∣2|2x+3|=|x-3|2∣2x+3∣=∣x−3∣ for the values of xxx. What are the solutions?

Problem 21933

Find the inverse of the one-to-one function f(x)=2x−5f(x)=2x-5f(x)=2x−5. What is f−1(x)f^{-1}(x)f−1(x)?

Problem 21934

Brigeth has 5 chocolate chip, 5 peanut butter, 4 sugar, and 9 oatmeal cookies. Find the probability of selecting 2 chocolate chip cookies.

Problem 21935

Two similar triangles have sides 7x7x7x and 707070 for the first, and 120120120 and 606060 for the second. Find xxx.

Problem 21936

Find the inverse of f(x)=−5x+10f(x)=-5 x+10f(x)=−5x+10 and identify the graphs of f(x)f(x)f(x) and its inverse.

Problem 21937

Katrina saved \$200. Her father spent 10 times that. What is the cost of her father's computer? Explain your answer.

Problem 21938

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=x+7f(x)=x+7f(x)=x+7 and calculate f−1(−2)f^{-1}(-2)f−1(−2).

Problem 21939

A jar has 6 red marbles (1-6) and 8 blue marbles (1-8). Find the probabilities for these scenarios:a) If a blue marble is chosen, what's the chance it's numbered 3? b) If a marble with number 1 is chosen, what's the chance it's blue?

Problem 21940

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = $\frac{\text{side in B}}{\text{corresponding side in A}}$ .

Solve the equation: $\frac{1}{2} x + \frac{1}{2} x = x + 1$ .

Solve the equation: $\frac{1}{3}(9 x+3)=3 x+1$ .

Find the reference angle for $\theta=570^{\circ}$ and the angle $\theta_{C}=210^{\circ}$ in quadrant III. What is $\theta_{R}=\square^{\circ}$ ?

An organism has $20 \mathrm{~g}$ of carbon-14. After 11,400 years (2 half-lives), how much remains? a) 0 g b) 2.5 g c) 5 g d) 10 g

Estimate the age of a fossil with $16 \mathrm{~g}$ of carbon-14 from an initial $32 \mathrm{~g}$ .

A $15 \mathrm{~cm}$ wire is cut into two pieces. The longer piece is $5 \mathrm{~cm}$ longer than the shorter. Find the shorter piece's length.

What percentage of carbon-14 is left after 34,200 years? a $0 \%$ b $1.56 \%$ c $3.02 \%$ d $10.5 \%$

Solve for $\square$ in the equations: a) $8 \cdot \square=40$ , b) $8+\square=40$ , c) $21 \div \square=7$ , d) $21-\square=7$ , e) $21 \cdot \square=7$ .

Find the values for the following equations given $a=11$ and $b=3$ : $2a + 3b$ , $a^2 - b + 10$ , $(ab)^2 - (a+b)^2$ .

Find the reference angle for $\theta=-420^{\circ}$ and the least nonnegative coterminal angle. $\theta_{\mathrm{C}}=$

Find the reference angle for $\theta=-420^{\circ}$ and the least nonnegative coterminal angle. What is $\theta_{R}$ ?

Let your brother's age be $x$ . Then your cousin's age is $x + 8$ . Three years ago, $x + 8 - 3 = 2(x - 3)$ . Find $x$ .

Find the final diameter of a cylinder initially $3.63^{\prime \prime}$ after machining it $0.030^{\prime \prime}$ oversize.

What is the total thickness of spacer shims measuring $0.050 \mathrm{~mm}$ , $0.003 \mathrm{~mm}$ , and $0.010 \mathrm{~mm}$ when stacked?

Solve $|2x + 3| + 9 = 20$ . Find the values of $x$ .

Find the inverse function $\mathrm{f}^{-1}(\mathrm{x})$ for $f(x)=x+4$ . What is $f^{-1}(x)=?$

What is the probability that both of two randomly chosen students wear glasses if $20\%$ of students do? Round to three decimal places.

Calculate the usable tread depth of a tire if new depth is $9.94 \mathrm{~mm}$ and worn out depth is $1.59 \mathrm{~mm}$ .

One angle is $66^{\circ}$ , and the third angle is $57^{\circ}$ more than half the second angle. Find the second and third angles.

Find the inverse function $f^{-1}(x)$ for $f(x) = 8x + 5$ . What is $f^{-1}(x)$ ?

What is the total voltage from 38 battery packs, each producing 7.4 volts? Calculate $38 \times 7.4$ .

Solve the equation $2|2x+3|=|x-3|$ for the values of $x$ . What are the solutions?

Find the inverse of the one-to-one function $f(x)=2x-5$ . What is $f^{-1}(x)$ ?

Two similar triangles have sides $7x$ and $70$ for the first, and $120$ and $60$ for the second. Find $x$ .

Find the inverse of $f(x)=-5 x+10$ and identify the graphs of $f(x)$ and its inverse.

Find the inverse function $f^{-1}(x)$ for $f(x)=x+7$ and calculate $f^{-1}(-2)$ .

A jar has 6 red marbles (1-6) and 8 blue marbles (1-8). Find the probabilities for these scenarios:
a) If a blue marble is chosen, what's the chance it's numbered 3? b) If a marble with number 1 is chosen, what's the chance it's blue?

Solve $9 y - 2 x = 1$ for $y$ . The solution is $y = \frac{2 x + 1}{9}$ .

Find three consecutive odd integers that sum to 63 using the expression $2n + 1$ .

Fill in the blanks: a. 4 times 3 is $12$ . b. 10 times 9 is $90$ . c. 700 is 10 times $70$ . d. 8,000 is $10$ times 800.

Evaluate the expression $\left[\frac{8}{11} x^{11 / 8}\right]_{0}^{1}$ .

Solve the equation: $\frac{3}{4}(x+6)=-\frac{1}{4} x$ . What is the solution?

What is the probability that in a random selection of 4 Americans, all, none, or at least one supports school funding? Use $p = 0.6$ .

Jesse has $41 \frac{1}{4}$ inches of ribbon and uses $3 \frac{3}{4}$ inches per bow. How many bows can she make? Write a division expression. Also, estimate using compatible numbers.

An executive earns a yearly total of 83600 dollars, including a 7400 dollar bonus. Find her monthly salary $S$ .

Find the pot of gold at the end of the rainbow:
1. $(4-2) \times 4$
2. $+5-7$
3. $\times(4-3)$

A plane flies at 200 mph for 225 miles ± 50 miles. Find the min and max travel time in hours. At least $h$ and at most $h$ .

Solve for $l$ in the perimeter formula of a rectangle: $p=2 l+2 w$ . What is the expression for $l$ ?

What is the probability that at least one of four randomly selected people has been vaccinated if $66\%$ are vaccinated? Round to three decimal places.

Find the square root of $-5+12 i$ in the form $a+bi$ , where $a, b \in \mathbb{R}$ .

Calculate: $3 \times(4-3)=$

Aaron filled the bird bath with 58 ounces. After blue jays drank 3.18 and a vulture drank $14 \frac{2}{5}$ , how much is left?

Jodie spent $30 \frac{1}{4}$ seconds climbing and 11.78 seconds on ropes. How much time is left to reach 73.4 seconds?

At the fair, the male to female ratio is $5:2$ . With 175 people total, how many males are there?

Find $p$ and $q$ if $3+2i$ is a root of $z^{2}+pz+q=0$ with $p, q \in \mathbb{R}$ .

Find values of $x$ such that $y_{1}=\frac{x-4}{4}, y_{2}=\frac{x-11}{5}$ and $y_{1}-y_{2}=1$ . Choose A, B, or C.

Find the distance, midpoint, and slope of the line between points $(2,-2)$ and $(5,2)$ .

Solve for $W$ in the equation $S=2 L H+(2 L+2 H) W$ .

Solve the equation $f(x p + u) = j + a$ for $f$ and $p$ . Find: $f =$ and $p =$ .

Calculate work done with $5 \mathrm{~N}$ force moving an object 25 meters. Choices: 5 J, 20 J, 30 J, 125 J.

Find $P(A$ or $B)$ given $P(A)=0.4$ , $P(B)=0.5$ , and $P(A \text{ and } B)=0.3$ . Round to two decimal places.

Find $P(B)$ given $P(A)=0.4$ , $P(A \text{ or } B)=0.95$ , and $P(A \text{ and } B)=0.3$ . Round to two decimal places.

Find the probability that a randomly selected student is taking a math or English class, given $68\%$ in math, $75\%$ in English, and $60\%$ in both. Round your answer to two decimal places.

Calculate $-12 \div(-3)$ .

Find values of $x$ where $y_{1} + y_{2} = y_{3}$ with $y_{1}=\frac{3}{x+3}$ , $y_{2}=\frac{5}{x+2}$ , $y_{3}=\frac{12x+5}{x^2+5x+6}$ .