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Mamont248 [21]
3 years ago
7

V varies inversely with T and V=12 when T=6. Which equation shows this relationship

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Given V varies inversely as T, then the equation relating them is

V = \frac{k}{T} ← k is the constant of variation

To find k use the condition, V = 12 when T = 6

k = VT = 12 × 6 = 72

V = \frac{72}{T} ← equation of variation

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<img src="https://tex.z-dn.net/?f=%5Csf%202x%2B7%2B8x%3D35" id="TexFormula1" title="\sf 2x+7+8x=35" alt="\sf 2x+7+8x=35" align="
Dafna11 [192]

Answer:

x=14/5

Step-by-step explanation:

Group like terms

2x+8x+7=35

Add similar elements: 2x+8x=10x

10x+7=35

Subtract 7 from both sides:

10x+7−7=35−7

Simplify

10x=28

Divide both sides by 10

10x/10 =28/10

Simplify:

x=14/5

7 0
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The Johnson twins were born thirteen years after their older sister. This year, the product of the three siblings' ages is exact
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2 years ago
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grin007 [14]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Becky needs to transfer liquid to a vase using a cylindrical container with a radius of 5 centimeters and a height of 10 centime
Svetradugi [14.3K]

Answer:

Becky needs approximately 3 containers to fil the vase up to 75%.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container as shown below:

volume = pi*r²*h = pi*5²*10 = 250*pi = 785 cm³

Since becky wants to fill 75% of the vase capacity, she needs to fill:

goal = 2800*75/100 = 2100 cm³

Therefore Becky needs a total of

containers =  goal/volume

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Becky needs approximately 3 containers to fil the vase up to 75%.

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Answer:

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Step-by-step explanation:

On attachment

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