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In which story is the answer to the question $0$ ? $\newline$ Choices: $\newline$ (A) A scuba diver was exploring a shipwreck in the Caribbean Sea. He swam from his boat down to an elevation of $-110$ feet to photograph the shipwreck. After he was finished, he swam back up to his boat $110$ feet above. What elevation did the scuba diver end at? $\newline$ (B) A scuba diver was exploring a shipwreck in the Caribbean Sea. He swam from his boat down to an elevation of $-110$ feet to photograph the shipwreck. After he was finished, he swam back up to his boat $110$ feet above. How far below his boat did the scuba diver swim to the shipwreck?

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Quantities that combine to zero: word problems

Full solution

Q. In which story is the answer to the question

0

?

\newline

Choices:

\newline

(A) A scuba diver was exploring a shipwreck in the Caribbean Sea. He swam from his boat down to an elevation of

-110

feet to photograph the shipwreck. After he was finished, he swam back up to his boat

110

feet above. What elevation did the scuba diver end at?

\newline

(B) A scuba diver was exploring a shipwreck in the Caribbean Sea. He swam from his boat down to an elevation of

-110

feet to photograph the shipwreck. After he was finished, he swam back up to his boat

110

feet above. How far below his boat did the scuba diver swim to the shipwreck?

Calculate Final Elevation: Solve the first story (A): Calculate the final elevation of the scuba diver after swimming back up to his boat. Starting from $-110$ feet and moving up $110$ feet.
Determine Descent Depth: Solve the second story (B): Determine how far below his boat the scuba diver swam to reach the shipwreck. The initial descent was to $-110$ feet.
Identify Zero Result: Determine which story's question results in an answer of $0$ . In story (A), the final elevation is $0$ feet. In story (B), the depth is $110$ feet.

More problems from Quantities that combine to zero: word problems

Question

g

can be thought of as a scaled version of

f(x)=|x|

\newline

What is the equation for

g(x)

\newline

1

\newline

g(x)=-\frac{4}{3}|x|

\newline

g(x)=\frac{4}{3}|x|

\newline

g(x)=-\frac{3}{4}|x|

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g(x)=\frac{3}{4}|x|

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Question

y=|x|

is reflected across the

x

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\newline

What is the equation of the new graph?

\newline

1

\newline

y=-\frac{5}{3}|x|

\newline

y=\frac{3}{5}|x|

\newline

y=-|x-5|+3

\newline

y=|x-3|+5

Posted 4 months ago

Question

\$ 200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only

t

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80

\mathrm{t}

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h

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\mathrm{t}

t

, that Aiden could purchase with this money?

\newline

1

\newline

40 h+80 t=400

\newline

80 h+40 t=200

\newline

5 h+2.5 t=200

\newline

2.5 h+5 t=200

Posted 4 months ago

Question

We want to find the intersection points of the graphs given by the following system of equations:

\newline

\left\{\begin{array}{l} x-y=-4 \\ y=5(x+1)^{2}-3 \end{array}\right.

\newline

One of the intersection points is

(-2,2)

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Find the other intersection point. Your answer must be exact.

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Question

\mathbf{2 2}

dollars. Colleen has

x

dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars?

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1

\newline

x-22

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x+22

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22 x

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22 x+22

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Question

Wilber wants to make the pond in his backyard bigger. It is currently a cone with a radius of

30

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15

meters. He wants to increase the radius to

40

meters and the depth to

20

meters. How much more water will the pond hold, in thousands of cubic meters?

\newline

(Round to the nearest thousand cubic meters.)

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Question

Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the TV is horizontal. The windows are

36

inches apart horizontally, and a widescreen TV is approximately twice as wide as it is tall. Which of the following could be the diagonal length of a widescreen TV that fits between the windows?

\newline

1

\newline

32

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42

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55

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Question

Ari thinks the perfect milkshake has

5

scoops of ice cream for every

3

spoonfuls of caramel. Freeze Zone makes batches of milkshakes with

10

scoops of ice cream and

7

spoonfuls of caramel.

\newline

What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

\newline

1

\newline

(A) Freeze Zone's milkshakes have too much caramel.

\newline

(B) Freeze Zone's milkshakes have too little caramel.

\newline

(C) Freeze Zone's milkshakes are just right.

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Question

Nayeli lights a

4 \mathrm{~m}^{2}

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10 \mathrm{~m}^{2}

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Whose space is lit brighter?

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1

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(A) Nayeli's area

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(B) Citlali's area

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(C) The spaces are equally bright.

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Question

Lashawn makes scrambled eggs with

3

spoonfuls of salsa for every

2

eggs. Gilberta adds

7

spoonfuls of salsa for every

5

\newline

Whose scrambled eggs have a stronger salsa taste?

\newline

1

\newline

(A) Lashawn's eggs

\newline

(B) Gilberta's eggs

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(C) The dishes of scrambled eggs have equal salsa tastes.

Posted 2 months ago