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Mandarinka [93]
2 years ago
11

Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of

Z when X equals four and Y equals nine
A: 2/3

B: 16/3

C: 8/3

D: 24
Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

B

Step-by-step explanation:

Set up the equation

z = \frac{kx^2}{y}

Plug in the numbers to find the value of k

3 = \frac{k(2^2)}{4}

12 = 4k

3 = k

Solve to find the value of z

z = \frac{3(4^2)}{9}

z = \frac{3(16)}{9}

z = 48/9

z = 16/3

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ArbitrLikvidat [17]

The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

<h3>What is unit conversion?</h3>

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

We have a fish tank has 240 quarts of water.

Levi adds another, 1201 quarts to the tank.

Total water in the tank = 240 + 120 = 360 quartz

To convert quartz to gallon, divide by 4

Total water in the tank = 360/4 = 90 gallons

Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

Learn more about the unit conversion here:

brainly.com/question/14350438

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5 0
2 years ago
Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same
iragen [17]

Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

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2 years ago
A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108
vladimir2022 [97]

Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

8 0
3 years ago
While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters
Pachacha [2.7K]

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
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  • Less than or equal to (≤).
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For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

  • The lower limit is equal to: L - 83 2/5.
  • The upper limit is equal to: L + 83.7.

In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

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5 0
1 year ago
What best describes the expression y /4 ? (5 points) O a Some number divided by 4 Oь Some number times 4 Oc 4 more than some num
Elodia [21]

Answer:

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Step-by-step explanation:

The y stands for an unknown number, aka some number. The slash indicates division, so it would be some number divided by 4.

8 0
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