Word Problems

Problem 3901

What term refers to the energy related to randomness in a system? Options: convection, enthalpy, vaporization, entropy.

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Problem 3902

Ben wants to buy a house for \$168,000. If it appreciates 1% annually, what will it be worth in 6 years? Round to the nearest dollar.

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Problem 3903

Identify the first step to simplify the expression: 45(3x+3)4-5(3 x+3).

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Problem 3904

Find the present value needed today at 8% interest to have \$1,500 in 5 years. Round factor to 3 decimals, answer to 2.

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Problem 3905

The point (30,7)(30,7) represents selling 30 adult tickets and 7 children's tickets, totaling \$275.

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Problem 3906

Find the future value of \$525 saved annually for 7 years at 5%. Round factor to 3 decimal places, answer to 2.

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Problem 3907

Find the remaining area of a 27 in. by 16 in. flag after cutting out a triangle with base 5 in. and height 12 in.

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Problem 3908

Find the deposit needed today to withdraw \$500 annually for 5 years from an account earning 5%. Round to 2 decimal places.

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Problem 3909

Priya has \50inheraccountanddeposits$20weeklyfor12weeks.Writetheequationforherbalance50 in her account and deposits \$20 weekly for 12 weeks. Write the equation for her balance (y)after after (x)$ weeks.

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Problem 3910

Find the area of a flag that is 27in.×16in.27 \mathrm{in.} \times 16 \mathrm{in.} after removing a triangle with base 5in.5 \mathrm{in.} and height 12in12 \mathrm{in}.

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Problem 3911

Calculate the area of a rectangle with length 15 cm and width 9 cm using the formula A=l×wA = l \times w.

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Problem 3912

Find the amount in Priya's account after 3 weeks, given the equation y=20x+50y=20x+50. What is the coordinate pair (x,y)(x, y)?

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Problem 3913

Priya has \$50 and deposits \$20 weekly for 12 weeks. When does her balance reach \$250? Provide the week as an ordered pair.

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Problem 3914

A truck rental costs \21plus$0.09permile.Writethecostequation21 plus \$0.09 per mile. Write the cost equation Cformiles for miles x.Find. Find C$ for 182 and 307 miles.

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Problem 3915

Find the value of w2w - 2 when w=8w = 8.

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Problem 3916

Identify a point on the graph of ff given that f(8)=9f(-8)=9. What is the ordered pair?

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Problem 3917

Find the difference between the record high (109°F) and low (-370°F) temperatures in Fargo, ND.

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Problem 3918

Find the total length of two pipes: 41/44-1/4' and 31/23-1/2'. Give the total in fractions of a foot, feet & inches, and inches.

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Problem 3919

Find the difference between the record high (109F109^{\circ} \mathrm{F}) and low (37F-37^{\circ} \mathrm{F}) temperatures in Fargo, ND.

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Problem 3920

Calculate the total weight of 3 orders weighing 5212lbs,12338lbs52 \frac{1}{2} \mathrm{lbs}, 123 \frac{3}{8} \mathrm{lbs}, and 9678lbs\frac{967}{8} \mathrm{lbs} in lbs and oz.

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Problem 3921

Mrs. Sloan buys 3.4 lbs of trail mix at \$4.25/lb. How much change from \$20.00? Options: \$14.45, \$5.55, \$12.55, \$7.45.

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Problem 3922

You have 183/818 - 3 / 8^{\prime \prime} of 1/4n1 / 4^{n} bar stock. After cutting a 6-1/4" piece, how much is left with and without 1/81 / 8^{\prime \prime} kerf?

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Problem 3923

Find the remaining width of material after cutting a total width of 6146\frac{1}{4} inches with a saw blade kerf of 18\frac{1}{8} inch.

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Problem 3924

Is it true or false that every positive number is a positive irrational number? Choose A, B, C, or D.

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Problem 3925

A volleyball team spends \$120 on snacks. They buy 95 popcorn bags at \$0.75 and 35 candy bags at \$1.20. What's left for drinks?

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Problem 3926

The width of a rectangle is 19 cm less than double the length. If uu is the length, express the width.

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Problem 3927

Find the distance between the centers of two holes drilled in a 10-1/4" x 3-1/2" plate, each 7/8"7/8" from the edges.

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Problem 3928

Find the intercepts of 2x+5y=20-2x + 5y = 20. If one is missing, state it. Then graph the equation using the intercepts.

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Problem 3929

In a fitness studio of 36 people, if 38\frac{3}{8} lifted weights and 13\frac{1}{3} did cross training, what fraction ran? A. 724\frac{7}{24} B. 1724\frac{17}{24} C. 512\frac{5}{12} D. 78\frac{7}{8}

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Problem 3930

Identify the set of ordered pairs that is not a function:
1. {(6,1),(4,6),(8,2),(3,1)}\{(-6,-1),(-4,6),(-8,2),(3,-1)\}
2. {(7,4),(9,8),(5,7),(2,4)}\{(7,4),(9,-8),(-5,-7),(-2,4)\}
3. {(3,3),(4,5),(8,9),(0,5)}\{(-3,-3),(4,5),(8,9),(0,5)\}
4. {(1,8),(8,4),(8,3),(5,6)}\{(-1,8),(8,-4),(8,3),(-5,-6)\}

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Problem 3931

XYundefined\overrightarrow{X Y} bisects WXZ\angle W X Z with mZXY=37m \angle Z X Y=37^{\circ}. Find mWXYm \angle W X Y and mZXWm \angle Z X W.

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Problem 3932

Insert << or >> in the shaded areas: a) 9 ___ 14, b) -9 ___ -14.

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Problem 3933

A store owner has 170 smartphone and 320 tablet pre-orders totaling \$361420. If both cost \$1331, find each price.

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Problem 3934

Identify the set of ordered pairs that is not a function from these options:
1. {(-9,5),(-2,-4),(-8,-6),(4,5)}
2. {(8,-1),(2,9),(-3,-1),(-6,4)}
3. {(-2,9),(9,3),(-8,9),(6,-1)}
4. {(4,1),(8,2),(8,7),(6,-2)}

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Problem 3935

Classify ABC\angle A B C based on its measure: If mABC=160\mathrm{m} \angle A B C=160^{\circ}, is it Straight, Obtuse, or Acute?

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Problem 3936

How many 23\frac{2}{3} pound containers can be filled with a 9 pound bag of sugar? A. 131213 \frac{1}{2} B. 151315 \frac{1}{3} C. 131313 \frac{1}{3} D. 27

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Problem 3937

Insert << or >> between the numbers to make this true: 5837\frac{5}{8} \square \frac{3}{7}.

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Problem 3938

Insert << or >> between the numbers to make the statement true: 81137\frac{8}{11} \square \frac{3}{7}.

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Problem 3939

If 1\angle 1 is 123123^{\circ} and is a supplement of 2\angle 2, find m3m \angle 3 where 2\angle 2 is a complement of 3\angle 3.

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Problem 3940

Find the measure of angle ABCABC if the angles formed with the ground are (3x+4)(3x+4) and (8x+11)(8x+11), which are supplementary.

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Problem 3941

A spool has 18 feet of ribbon. How many 8-inch pieces can be cut from it? A. 10 B. 27 C. 2.25 D. 14.8

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Problem 3942

The PTA needs \$682.56 for a swing set, received a \$200.00 donation. How much must each of 8 groups raise?

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Problem 3943

Insert <,><,>, or == in the blank to make it true:
110110110÷110 \frac{1}{10} \cdot \frac{1}{10} \square \frac{1}{10} \div \frac{1}{10}

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Problem 3944

Find the two numbers with an absolute value of 1.751.75 on the number line. Identify their positions.

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Problem 3945

Calculate the distance UVUV between points U(2,2)U(2,-2) and V(5,3)V(-5,-3), rounding to the nearest tenth if needed. UV= UV =

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Problem 3946

Find the midpoint MM of the line segment with endpoints C(5,3)C(5,3) and D(3,6)D(-3,-6).

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Problem 3947

Santiago bakes 12 dozen cookies needing 34\frac{3}{4} tsp per dozen. How many total tsp of baking soda is required?

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Problem 3948

Determine if 0.07 is less than or greater than 0.7: use << or >>.

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Problem 3949

How many real zeros can a quadratic function have? A quadratic can have 0, 1, or 2 real zeros. Choose the correct option.

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Problem 3950

Insert <,><,>, or == to make the statement true: 9559 - |-5| \square |-5|

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Problem 3951

Insert << or >> between the numbers to make the statement true: 71178\frac{7}{11} \square \frac{7}{8}.

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Problem 3952

Find the zeros of the function f(x)=x214xf(x)=x^{2}-14x by factoring. What are the xx-intercepts?

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Problem 3953

Insert << or >> between 78\frac{7}{8} and 79\frac{7}{9} to make the statement true: 7879\frac{7}{8} \square \frac{7}{9}.

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Problem 3954

Find the zeros of the function F(x)=x2+x30F(x)=x^{2}+x-30 by factoring. What are the xx-intercepts?

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Problem 3955

Find the missing base of a trapezoid with height 3 in, known base 8 in, and area 21 sq in.

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Problem 3956

Find the zeros of the function F(x)=x2x20F(x)=x^{2}-x-20 by factoring. What are the xx-intercepts?

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Problem 3957

A grocer gives out 50 salad samples. She gave out 5 fewer than half the total samples. Find the total number of samples prepared.

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Problem 3958

Amelia has 6 feet of wire. How many necklaces can she make if each requires 13\frac{1}{3} foot? (A) 18 (B) 16 (C) 36 (D) 42

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Problem 3959

Insert << or >> in the shaded areas: a) 6 ___ 15, b) -6 ___ -15.

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Problem 3960

A solution has a volume of 90 mL after adding acid. It is 3 mL more than 3 times the original volume. Find the original volume.

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Problem 3961

Find the zeros of P(x)=3x248P(x)=3x^{2}-48 by factoring. What are the xx-intercepts? A or B: fill in the answers.

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Problem 3962

Find the zeros of the function f(x)=x212f(x)=x^{2}-12 using the square root method. What are the xx-intercepts?

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Problem 3963

A diver's final score is 77.7. If SS is 52, find the degree of difficulty DD using 0.6SD=77.70.6 * S * D = 77.7.

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Problem 3964

Find the zeros of f(x)=x220f(x)=x^{2}-20 using the square root method. What are the x-intercepts?

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Problem 3965

Convert the length of a part from 1257 mm1257 \mathrm{~mm} to meters. What is the length in meters?

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Problem 3966

What is the quotient of 5÷145 \div \frac{1}{4}? (A) 54\frac{5}{4} (B) 64\frac{6}{4} (C) 20 (D) 21

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Problem 3967

A right triangle has legs where the long leg is 97 ft longer than the short leg, and the hypotenuse is 113 ft. Find the leg lengths.

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Problem 3968

Find the multiplier to convert inches to centimeters using 25.4, 0.03937, 2.54, and 10. Explain their relevance.

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Problem 3969

Convert 12 cubic inches of material removed to cubic centimeters. Options: 196.38, 1966, 16.38, 163.8.

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Problem 3970

Create an expression for "the product of 8 and the sum of a number xx and 3".

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Problem 3971

Find the value of CC for a probability distribution where p(0)=0.1p(0)=0.1, p(1)=0.3p(1)=0.3, p(3)=0.2p(3)=0.2, and p(2)=Cp(2)=C such that p(x)=1\sum p(x) = 1.

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Problem 3972

Find the zeros of f(x)=x275f(x)=x^{2}-75 using the square root method. What are the xx-intercepts?

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Problem 3973

Find the zeros of the function f(x)=x212f(x)=x^{2}-12 using the square root method. What are the xx-intercepts?

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Problem 3974

Rewrite each algebraic expression as a verbal phrase. Examples include:
1. 4q4 q
2. 18y\frac{1}{8} y
3. 15+r15+r
4. w24w-24
5. 3x23 x^{2}
6. 19\frac{1}{9}
7. 2a+62 a+6
8. r4t3r^{4} \cdot t^{3}
9. 25+6x225+6 x^{2}
10. 6f2+5f6 f^{2}+5 f
11. 3a52\frac{3 a^{5}}{2}
12. 9(a21)9(a^{2}-1)
13. 5g65 g^{6}
14. (c2)d(c-2) d
15. 45h4-5 h
16. 2b22 b^{2}
17. 7x317 x^{3}-1
18. p4+6rp^{4}+6 r
19. 3n2x3 n^{2}-x
20. (2+5)p(2+5) p
21. 18(p+5)18(p+5)

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Problem 3975

Lauren sells tacos (3.253.25 each) and burritos (7.757.75 each). If she sells 72 burritos, find possible taco sales to reach \$710.

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Problem 3976

Convert the tolerance +/.125+/-.125 inch to mm, rounded to the nearest 1/1001/100 mm: 33 mm, 1.251.25 mm, 3.173.17 mm, or 0.050.05 mm?

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Problem 3977

Calculate 612×3346 \frac{1}{2} \times 3 \frac{3}{4}. Choose the correct answer from the options: (A) 165816 \frac{5}{8}, (B) 183818 \frac{3}{8}, (C) 221222 \frac{1}{2}, (D) 243824 \frac{3}{8}.

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Problem 3978

Find the zeros of g(x)=(x2)236g(x)=(x-2)^{2}-36 using the square root method. What are the x-intercepts?

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Problem 3979

Convert 0.0625 inch to mm. Options: 1.58, 0.002, 6.25, 0.625.

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Problem 3980

Convert 2.73 cm2.73 \mathrm{~cm} to inches: 0.1074, 1.0704, 01074, or 107.4 inches?

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Problem 3981

Find the Least Common Denominator (LCD) of 13\frac{1}{3} and 14\frac{1}{4}.

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Problem 3982

Calculate the decimal approximation of the trigonometric function: sin(31018)\sin \left(-310^{\circ} 18^{\prime}\right) \approx (round to 8 decimal places).

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Problem 3983

Convert these fractions to the least common denominator: 13\frac{1}{3}, 14\frac{1}{4}. Choose the equivalent from: a. 812\frac{8}{12}, b. 912\frac{9}{12}, c. 312\frac{3}{12}, d. 612\frac{6}{12}, e. 412\frac{4}{12}.

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Problem 3984

Find the least common denominator (LCD) for 12\frac{1}{2} and 38\frac{3}{8}. Choices: 4, 8, 2, 16, 24.

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Problem 3985

Create an expression for 250 minutes left if you talk 1 hour (60 minutes) per week: 25060w250 - 60w, where ww is weeks.

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Problem 3986

Find the real zeros of the function f(x)=x2+8x+14f(x)=x^{2}+8x+14 using the quadratic formula. What are the xx-intercepts?

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Problem 3987

Convert 17.27 cm17.27 \mathrm{~cm} to inches. Options: 43.865, 6.799, 172.7, 0.06799.

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Problem 3988

Identify the experiment that is NOT a continuous probability function: weight of a widget, rollercoaster height, truck length, balloon pressure, quiz time.

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Problem 3989

For a Standard Normal Variable, find P(0.58<z<1.74)P(0.58<z<1.74) using the provided tables.

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Problem 3990

What score does Jane need on her fifth math test to achieve a mean of 90, given her first four grades: 88,92,86,8488, 92, 86, 84?

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Problem 3991

Find the real zeros of the function f(x)=x2+10x+20f(x)=x^{2}+10x+20 using the quadratic formula. What are the x-intercepts?

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Problem 3992

Find the area of a rectangle with length 34ft\frac{3}{4} \mathrm{ft} and width 23ft\frac{2}{3} \mathrm{ft}.

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Problem 3993

Kadeem has \$9 and buys 7 cookies at \$0.50. How many donuts can he buy if he needs at least 10 total treats?

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Problem 3994

Calculate the probability P(0.58<z<1.74)\mathrm{P}(0.58<\mathrm{z}<1.74) for a Standard Normal Random Variable using the provided tables.

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Problem 3995

Calculate the probability P(0.58<z<1.74)\mathrm{P}(0.58<\mathrm{z}<1.74) for a Standard Normal Random Variable using the tables.

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Problem 3996

Skylar babysits for 3 hours. If she earns \$12/hour, how many tutoring hours at \$22/hour does she need to make at least \$140?

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Problem 3997

Julieta buys 9 bananas for \$0.40 each. With \$9.80 total and at least 11 fruits, find possible mango quantities.

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Problem 3998

Calculate the volume of a microchip with dimensions w=4.456 mmw=4.456 \mathrm{~mm}, h=0.0055 mmh=0.0055 \mathrm{~mm}, z=3.5z=3.5. Round results in various formats and find percentage error.

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Problem 3999

Johan buys 3 tickets for 2 movies at \$11.75 each. What is his total cost? (A) \$67.50 (B) \$70.50 (C) \$71.00 (D) \$71.50

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Problem 4000

Match each expression to its value for x=8x=8 and y=3y=3: 12y12-y, 3xy3x-y, 4y104y-10. Values: 2, 6, 9.

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