Word Problems

Problem 9901

Find the bearing of an airplane at $(-5,-5)$ from the origin. Provide the bearing as a single angle measure.

See Solution

Problem 9902

Are Jessica's rate of $\frac{4 \text{ laps}}{9 \text{ minutes}}$ and Luke's rate of $\frac{8 \text{ laps}}{27 \text{ minutes}}$ equivalent?

See Solution

Problem 9903

A ball dropped from 256 feet bounces up $\frac{1}{4}$ of its fall height. What height on the third bounce?

See Solution

Problem 9904

The Smithsons traveled $\frac{1}{3}$ of the distance to Dallas, covering 126 miles. What is the total distance?

See Solution

Problem 9905

Convert $4.22 \mathrm{oz}$ to kilograms. How many kg is that?

See Solution

Problem 9906

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

See Solution

Problem 9907

Mr. Sheridan drives 196 miles using 7 gallons.
a) Graph $g$ (gasoline) vs. $m$ (mileage). b) What does the slope indicate about car efficiency?

See Solution

Problem 9908

Multiply and divide fractions, express answers in lowest terms or as mixed numbers. Also, compare plug diameters and calculate areas.

See Solution

Problem 9909

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

See Solution

Problem 9910

Two ships leave a port. One sails at $48^{\circ}$ , 12 knots; the other at $138^{\circ}$ , 22 knots. Distance apart after 1.5 hours?

See Solution

Problem 9911

In 2004, 48% of Florida households had no hurricane escape plan. For 50 sampled households in Gainesville, find the prob. of 29+ with plans using binomial distribution. Is the normal approximation accurate?

See Solution

Problem 9912

How many minutes to fill a 1-gallon bucket if water drips at 41 drops/min and there are 15,000 drops in a gallon?

See Solution

Problem 9913

Two ships leave a port at the same time. After 1.5 hours, how far apart are they if one sails at 24 knots and the other at 26 knots?

See Solution

Problem 9914

Two ships leave a port. First sails at $47^{\circ}$ , 12 knots; second at $137^{\circ}$ , 14 knots. Distance apart after 1.5 hours?

See Solution

Problem 9915

Find the perimeter of a rectangle with length $\frac{5}{x-4}$ ft and width $\frac{2}{x}$ ft.

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Problem 9916

How many times smaller is 184.36 than 9,027.83? Explain using place value.

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Problem 9917

Harry sold portraits for \$15 each and sketches for \$5 each. If he sold 6 portraits and 13 sketches, how much did he earn?

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Problem 9918

Two docks are 2591 ft apart. From dock A, the bearing to a reef is $63^{\circ} 22^{\prime}$ , and from dock B, it's $333^{\circ} 22^{\prime}$ . Find the distance from dock A to the reef (round to nearest integer).

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Problem 9919

Solve the inequality $4(3x+2)<5(3x-2)$ for $x$ and test $x=1, 5, 10$ to form a hypothesis.

See Solution

Problem 9920

Find the new coordinates of the point $(2,-6)$ after applying the transformations $R_{270^{\circ}}$ and then $r_{\mathrm{y} \text{-axis}}$ .

See Solution

Problem 9921

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

See Solution

Problem 9922

Find the distance from dock A to a coral reef given docks A and B are $2593 \mathrm{ft}$ apart with bearings $61^{\circ} 28^{\prime}$ and $331^{\circ} 28^{\prime}$ . Round to the nearest integer.

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Problem 9923

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

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Problem 9924

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

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Problem 9925

Omar's headphone plug changes from $1/8$ " to $1/4$ ".
a) Does the adapter increase or decrease the diameter? b) How many times larger is the larger plug's diameter? c) By how many inches is the larger plug's diameter greater?

See Solution

Problem 9926

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

See Solution

Problem 9927

Two ships leave a port: one at $N 30^{\circ} 50^{\prime} E$ at 20.6 mph and another at $59^{\circ} 10^{\prime} E$ at 12.3 mph. Find their distance apart after 2 hours. Round to the nearest mile.

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Problem 9928

Find the next two numbers in the sequence: $1, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}$ .

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Problem 9929

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

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Problem 9930

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

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Problem 9931

Dave cleans pools at 5 pools/hour. What is the ratio of pools to hours?

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Problem 9932

Round 739.96 to: a) nearest whole number, b) one significant figure, c) one decimal place.

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Problem 9933

How many joules are in a bag of chips labeled $245 \mathrm{Cal}$ ?

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Problem 9934

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

See Solution

Problem 9935

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

See Solution

Problem 9936

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

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Problem 9937

Find the perimeter of trapezoid $ABCD$ with vertices $A(-2,4)$ , $B(2,4)$ , $C(4,-3)$ , and $D(-2,-3)$ .

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Problem 9938

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

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Problem 9939

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

See Solution

Problem 9940

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

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Problem 9941

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

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Problem 9942

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

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Problem 9943

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

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Problem 9944

Elsa, Chau, and Manuel served 105 orders total. Elsa served 5 more than Chau, and Manuel served 3 times Chau. Find their orders.

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Problem 9945

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

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Problem 9946

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

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Problem 9947

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

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Problem 9948

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

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Problem 9949

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

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Problem 9950

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

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Problem 9951

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

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Problem 9952

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

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Problem 9953

What is 32,408 in base ten? (A) 32,480 (B) 32,408 (C) 30,248 (D) 30,240

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Problem 9954

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

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Problem 9955

Write a slope-intercept equation for a geoduck's growth from 4 cm at age 10 to 18 cm at age 100.

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Problem 9956

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

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Problem 9957

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

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Problem 9958

How many thorium atoms (240 pm radius) fit in a distance of $1.40 \mathrm{~mm}$ ?

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Problem 9959

Alvin rounded 336,457 to 340,000. What place did he round to? (A) Tens (B) Hundreds (C) Thousands (D) Ten thousands

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Problem 9960

Find sums or differences that equal 12,492: $8,572+3,920$ , $7,279+5,203$ , $4,100+8,392$ , $15,728-3,246$ , $19,412-6,920$ .

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Problem 9961

Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.

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Problem 9962

Find the volume in cubic centimeters $\left(\mathrm{cm}^{3}\right)$ of a single thorium atom, assuming it's a sphere.

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Problem 9963

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

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Problem 9964

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

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Problem 9965

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: $15,258 - 12,474$ . Is 2,784 reasonable?

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Problem 9966

A car's tank is $80\%$ full. After using $30\%$ of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

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Problem 9967

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

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Problem 9968

Write a cost function for a ski resort that charges \$20 plus \$4.25 per hour. Identify the correct variable.

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Problem 9969

Choose the correct verbal expression for $4s - 4$ , where $s$ is the side length of a square.

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Problem 9970

Find the weight of one mole of pennies if a dozen weigh $6.022 \times 10^{23}$ grams.

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Problem 9971

Find the linear cost function $C(x)$ given a fixed cost of \$300 and that producing 60 items costs \$3,300.

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Problem 9972

A scuba diver is at 82 feet deep and descends another 19 feet. What is his new depth as an integer?

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Problem 9973

Find the average cost per item given the cost function $C(x)=18x+1400$ for producing 100 items. What is the average cost?

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Problem 9974

Find the linear depreciation function for a car priced at \$25,250, expected to be worth \$14,234 in 4 years. Also, estimate its value in 6 years and find the depreciation rate.

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Problem 9975

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Problem 9976

The temperature starts at $-14^{\circ} \mathrm{C}$ and drops $5^{\circ} \mathrm{C}$ , $3^{\circ} \mathrm{C}$ , and $1^{\circ} \mathrm{C}$ . What's the final temperature?

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Problem 9977

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

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Problem 9978

Calculate the specific heat of a liquid given that $47.1 \mathrm{~J}$ raises $13.8 \mathrm{~g}$ by $1.79^{\circ} \mathrm{C}$ .

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Problem 9979

Find the percentage equivalent of $\frac{7}{4}$ . Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.

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Problem 9980

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs $1.79 \times 10^{-22}$ grams?

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Problem 9981

Find the weight of 12 silver atoms given that one silver atom weighs $1.79 \times 10^{-22}$ grams.

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Problem 9982

4,860 people visited a fair on Saturday, which was $20\%$ more than Friday. Find Friday's visitor count.

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Problem 9983

Find the second least positive value (in radians) for $\beta$ given $11\pi/6$ and for $\gamma$ given $\tan(\gamma)=1$ .

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Problem 9984

Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.

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Problem 9985

If $\tan (\gamma)=1$ , what are the least and second least positive values of $\gamma$ in radians?

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Problem 9986

Find values of $a$ and $b$ such that $3(2x+15)=ax+b$ has exactly one solution. Options for $a$ and $b$ are given.

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Problem 9987

Find the complement of an angle measuring $39^{\circ} 1650^{\prime \prime}$ .

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Problem 9988

How many cm are in 1 yard if there are 2.54 cm per inch? Show your work without rounding.

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Problem 9989

A $28.4 \mathrm{~g}$ aluminum sample at $39.4{ }^{\circ} \mathrm{C}$ heats $50.0 \mathrm{~g}$ of water from $21.00^{\circ} \mathrm{C}$ to $23.00^{\circ} \mathrm{C}$ . Find aluminum's specific heat.

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Problem 9990

What is the probability of correctly guessing a 5-digit PIN from a 10-key keypad on the first try? Use the multiplication rule.

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Problem 9991

Compute $\Delta y / \Delta x$ for $y=4x-7$ over $[2,6]$ and find the instantaneous rate of change at $x=2$ .

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Problem 9992

What is the probability of guessing a correct 5-digit pin code from a 7-key keypad on the first try? Simplify your answer.

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Problem 9993

How many $\mathrm{Mm}$ are in 382 $\mathrm{dm}$ ?

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Problem 9994

Calculate the distance between the points $(-6,-5)$ and $(2,0)$ .

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Problem 9995

Calculate the number of $\mathrm{CL}$ in $1.18 \times 10^{2} \mathrm{floz}$ .

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Problem 9996

Mix how many gallons of $80\%$ antifreeze with 60 gallons of $30\%$ antifreeze for a $70\%$ mixture? Use six steps.

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Problem 9997

In a jar, $30\%$ of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

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Problem 9998

Convert $4.65 \times 10^{7}$ yards to megameters (Mm). How many Mm is that?

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Problem 9999

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = $=$ b. 35 thousandths + 8 thousandths = $=$ hundredths c. 6 tenths + 3 thousandths = $=$

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Problem 10000

A cyclist took 3 h to cycle from Town X to Town Y at 12 km/h. If speed increases by 3 km/h, how long will the journey take?

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Word Problems

Problem 9901

Find the bearing of an airplane at (−5,−5)(-5,-5)(−5,−5) from the origin. Provide the bearing as a single angle measure.

Problem 9902

Are Jessica's rate of 4 laps9 minutes\frac{4 \text{ laps}}{9 \text{ minutes}}9 minutes4 laps​ and Luke's rate of 8 laps27 minutes\frac{8 \text{ laps}}{27 \text{ minutes}}27 minutes8 laps​ equivalent?

Problem 9903

A ball dropped from 256 feet bounces up 14\frac{1}{4}41​ of its fall height. What height on the third bounce?

Problem 9904

The Smithsons traveled 13\frac{1}{3}31​ of the distance to Dallas, covering 126 miles. What is the total distance?

Problem 9905

Convert 4.22oz4.22 \mathrm{oz}4.22oz to kilograms. How many kg is that?

Problem 9906

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

Problem 9907

Mr. Sheridan drives 196 miles using 7 gallons. a) Graph ggg (gasoline) vs. mmm (mileage). b) What does the slope indicate about car efficiency?

Problem 9908

Multiply and divide fractions, express answers in lowest terms or as mixed numbers. Also, compare plug diameters and calculate areas.

Problem 9909

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using 3,6,9,123, 6, 9, 123,6,9,12 cups of flour.

Problem 9910

Two ships leave a port. One sails at 48∘48^{\circ}48∘, 12 knots; the other at 138∘138^{\circ}138∘, 22 knots. Distance apart after 1.5 hours?

Problem 9911

In 2004, 48% of Florida households had no hurricane escape plan. For 50 sampled households in Gainesville, find the prob. of 29+ with plans using binomial distribution. Is the normal approximation accurate?

Problem 9912

How many minutes to fill a 1-gallon bucket if water drips at 41 drops/min and there are 15,000 drops in a gallon?

Problem 9913

Two ships leave a port at the same time. After 1.5 hours, how far apart are they if one sails at 24 knots and the other at 26 knots?

Problem 9914

Two ships leave a port. First sails at 47∘47^{\circ}47∘, 12 knots; second at 137∘137^{\circ}137∘, 14 knots. Distance apart after 1.5 hours?

Problem 9915

Find the perimeter of a rectangle with length 5x−4\frac{5}{x-4}x−45​ ft and width 2x\frac{2}{x}x2​ ft.

Problem 9916

How many times smaller is 184.36 than 9,027.83? Explain using place value.

Problem 9917

Harry sold portraits for \$15 each and sketches for \$5 each. If he sold 6 portraits and 13 sketches, how much did he earn?

Problem 9918

Two docks are 2591 ft apart. From dock A, the bearing to a reef is 63∘22′63^{\circ} 22^{\prime}63∘22′, and from dock B, it's 333∘22′333^{\circ} 22^{\prime}333∘22′. Find the distance from dock A to the reef (round to nearest integer).

Problem 9919

Solve the inequality 4(3x+2)<5(3x−2)4(3x+2)<5(3x-2)4(3x+2)<5(3x−2) for xxx and test x=1,5,10x=1, 5, 10x=1,5,10 to form a hypothesis.

Problem 9920

Find the new coordinates of the point (2,−6)(2,-6)(2,−6) after applying the transformations R270∘R_{270^{\circ}}R270∘​ and then ry-axisr_{\mathrm{y} \text{-axis}}ry-axis​.

Problem 9921

Estimate household size H\mathrm{H}H using H=aM+bP+c\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}H=aM+bP+c from given data. Find a\mathrm{a}a, b\mathrm{b}b, c\mathrm{c}c.

Problem 9922

Find the distance from dock A to a coral reef given docks A and B are 2593ft2593 \mathrm{ft}2593ft apart with bearings 61∘28′61^{\circ} 28^{\prime}61∘28′ and 331∘28′331^{\circ} 28^{\prime}331∘28′. Round to the nearest integer.

Problem 9923

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

Problem 9924

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

Problem 9925

Omar's headphone plug changes from 1/81/81/8" to 1/41/41/4". a) Does the adapter increase or decrease the diameter? b) How many times larger is the larger plug's diameter? c) By how many inches is the larger plug's diameter greater?

Problem 9926

Maria reads 40 pages in 2 hours. Find the equation for pages read vs. time, and explain each part of the equation.

Problem 9927

Two ships leave a port: one at N30∘50′EN 30^{\circ} 50^{\prime} EN30∘50′E at 20.6 mph and another at 59∘10′E59^{\circ} 10^{\prime} E59∘10′E at 12.3 mph. Find their distance apart after 2 hours. Round to the nearest mile.

Problem 9928

Find the next two numbers in the sequence: 1,134,212,3141, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}1,143​,221​,341​.

Problem 9929

Find the distance from City A to City C, given bearings and travel times. Round to the nearest mile.

Problem 9930

A. Compare the downstream speed of a barge traveling 120 miles in 8 hours to its upstream speed of 100 miles in 10 hours.

Problem 9931

Dave cleans pools at 5 pools/hour. What is the ratio of pools to hours?

Problem 9932

Round 739.96 to: a) nearest whole number, b) one significant figure, c) one decimal place.

Problem 9933

How many joules are in a bag of chips labeled 245Cal245 \mathrm{Cal}245Cal?

Problem 9934

Find the height of a stone face on a mountain, given angles of elevation of 28∘28^{\circ}28∘ and 31∘31^{\circ}31∘ from 800 feet away.

Problem 9935

What is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

Problem 9936

Find the distance between marinas at P(4,2)P(4,2)P(4,2) and Q(8,12)Q(8,12)Q(8,12) on a map where 1 unit = 1 km. Choices: A. 14 km B. 2292 \sqrt{29}229​ km C. 6 km D. 252 \sqrt{5}25​ km

Problem 9937

Find the perimeter of trapezoid ABCDABCDABCD with vertices A(−2,4)A(-2,4)A(−2,4), B(2,4)B(2,4)B(2,4), C(4,−3)C(4,-3)C(4,−3), and D(−2,−3)D(-2,-3)D(−2,−3).

Problem 9938

Find the length lll of a rectangle with area 25in225 \mathrm{in}^225in2 and width w=10inw = 10 \mathrm{in}w=10in. Use A=lwA = l wA=lw.

Problem 9939

Find the specific heat of a 4.11 g4.11 \mathrm{~g}4.11 g silicon sample that rises by 3.8∘C3.8^{\circ} \mathrm{C}3.8∘C with 11.1 J11.1 \mathrm{~J}11.1 J added.

Problem 9940

Find the bearing of an airplane at $(-5,-5)$ from the origin. Provide the bearing as a single angle measure.

Are Jessica's rate of $\frac{4 \text{ laps}}{9 \text{ minutes}}$ and Luke's rate of $\frac{8 \text{ laps}}{27 \text{ minutes}}$ equivalent?

A ball dropped from 256 feet bounces up $\frac{1}{4}$ of its fall height. What height on the third bounce?

The Smithsons traveled $\frac{1}{3}$ of the distance to Dallas, covering 126 miles. What is the total distance?

Convert $4.22 \mathrm{oz}$ to kilograms. How many kg is that?

Mr. Sheridan drives 196 miles using 7 gallons.
a) Graph $g$ (gasoline) vs. $m$ (mileage). b) What does the slope indicate about car efficiency?

Graph the pairs for sugar needed with 3 cups flour for every 2 cups sugar using $3, 6, 9, 12$ cups of flour.

Two ships leave a port. One sails at $48^{\circ}$ , 12 knots; the other at $138^{\circ}$ , 22 knots. Distance apart after 1.5 hours?

Two ships leave a port. First sails at $47^{\circ}$ , 12 knots; second at $137^{\circ}$ , 14 knots. Distance apart after 1.5 hours?

Find the perimeter of a rectangle with length $\frac{5}{x-4}$ ft and width $\frac{2}{x}$ ft.

Two docks are 2591 ft apart. From dock A, the bearing to a reef is $63^{\circ} 22^{\prime}$ , and from dock B, it's $333^{\circ} 22^{\prime}$ . Find the distance from dock A to the reef (round to nearest integer).

Solve the inequality $4(3x+2)<5(3x-2)$ for $x$ and test $x=1, 5, 10$ to form a hypothesis.

Find the new coordinates of the point $(2,-6)$ after applying the transformations $R_{270^{\circ}}$ and then $r_{\mathrm{y} \text{-axis}}$ .

Estimate household size $\mathrm{H}$ using $\mathrm{H}=\mathrm{aM}+\mathrm{bP}+\mathrm{c}$ from given data. Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

Find the distance from dock A to a coral reef given docks A and B are $2593 \mathrm{ft}$ apart with bearings $61^{\circ} 28^{\prime}$ and $331^{\circ} 28^{\prime}$ . Round to the nearest integer.

Omar's headphone plug changes from $1/8$ " to $1/4$ ".
a) Does the adapter increase or decrease the diameter? b) How many times larger is the larger plug's diameter? c) By how many inches is the larger plug's diameter greater?

Two ships leave a port: one at $N 30^{\circ} 50^{\prime} E$ at 20.6 mph and another at $59^{\circ} 10^{\prime} E$ at 12.3 mph. Find their distance apart after 2 hours. Round to the nearest mile.

Find the next two numbers in the sequence: $1, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}$ .

How many joules are in a bag of chips labeled $245 \mathrm{Cal}$ ?

Find the height of a stone face on a mountain, given angles of elevation of $28^{\circ}$ and $31^{\circ}$ from 800 feet away.

Find the distance between marinas at $P(4,2)$ and $Q(8,12)$ on a map where 1 unit = 1 km. Choices: A. 14 km B. $2 \sqrt{29}$ km C. 6 km D. $2 \sqrt{5}$ km

Find the perimeter of trapezoid $ABCD$ with vertices $A(-2,4)$ , $B(2,4)$ , $C(4,-3)$ , and $D(-2,-3)$ .

Find the length $l$ of a rectangle with area $25 \mathrm{in}^2$ and width $w = 10 \mathrm{in}$ . Use $A = l w$ .

Find the specific heat of a $4.11 \mathrm{~g}$ silicon sample that rises by $3.8^{\circ} \mathrm{C}$ with $11.1 \mathrm{~J}$ added.

Find the length $l$ of a rectangle with area $A=25 \mathrm{in}^2$ for widths $w=10$ and $w=15$ inches.

Graph the inequality for elevator speeds outside the range of 116 to 124 feet per minute: $s < 116$ or $s > 124$ .

How many bags of chips provide $14.6 \times 10^{3} \mathrm{~kJ}$ of energy to store $1 \mathrm{lb}$ of body fat?

Find point J if D is the midpoint of HJ, with D at $(-3,4)$ and H at $(9,-6)$ . Where is J? A. $(-15,14)$ B. $(21,-16)$ C. $(3,-1)$ D. $(6,-2)$

Find the length $l$ of a rectangle with area $25 \mathrm{in}^{2}$ for widths $w = 10$ in and $w = 15$ in. Rearrange $A = lw$ .

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

Calculate the perimeter of parallelogram $ABCD$ with vertices $A(1,7)$ , $B(5,4)$ , $C(0,-5)$ , and $D(-4,-2)$ .

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: $8,947 + 12,783$ .

A rectangle has area $A = 25 \mathrm{in}^2$ . If $w = 10$ in, find $l$ . If $w = 15$ in, find $l$ . Rearrange $A = lw$ for $l$ .

Calculate the heat needed to raise the temperature of an $8.21 \mathrm{~g}$ gold sample by $6.2^{\circ} \mathrm{C}$ with specific heat $0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ .

Zoe and Yolanda's money ratio is $3:7$ . Yolanda has \ $64 more than Zoe. After Yolanda gives$ \frac{1}{4}$ of her money to Zoe, find the new ratio.

How many thorium atoms (240 pm radius) fit in a distance of $1.40 \mathrm{~mm}$ ?

Find sums or differences that equal 12,492: $8,572+3,920$ , $7,279+5,203$ , $4,100+8,392$ , $15,728-3,246$ , $19,412-6,920$ .

Find the volume in cubic centimeters $\left(\mathrm{cm}^{3}\right)$ of a single thorium atom, assuming it's a sphere.

Mr. Olson had $16 \mathrm{~L}$ of paint. After using $3 \mathrm{~L} 250 \mathrm{ml}$ and $80\%$ of the rest, how much is left?

Calculate how many thorium atoms (240 pm radius) are needed to span $1.40 \mathrm{~mm}$ .

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: $15,258 - 12,474$ . Is 2,784 reasonable?

A car's tank is $80\%$ full. After using $30\%$ of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

Choose the correct verbal expression for $4s - 4$ , where $s$ is the side length of a square.

Find the weight of one mole of pennies if a dozen weigh $6.022 \times 10^{23}$ grams.

Find the linear cost function $C(x)$ given a fixed cost of \$300 and that producing 60 items costs \$3,300.

Find the average cost per item given the cost function $C(x)=18x+1400$ for producing 100 items. What is the average cost?