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Olenka [21]
3 years ago
14

The value of y varies directly with x. When y = 85, x = 14. What is the value of y when x is 112?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

y = 679.952

Step-by-step explanation:

It is given that, the value of y varies directly with x.

y₁ = 85, x₁ = 14

y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071

We need to find the value of y when x is 112.

y=k\times x\\\\=6.071\times 112\\\\y=679.952

So, the value of y is 679.952 when x is 112.

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Length 21cm area 315cm2 find the breath ​
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Breadth = 15 cm

Step-by-step explanation:

Area = length x breadth

315 = 21 x breadth

\frac{315}{21} = \frac{21}{21} \times breadth                 [ dividing both sides by 21 ]

15 = 1 \times breadth\\\\breadth = 15 \ cm

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3 years ago
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The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67 cubic cm, find the volume
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Which inequality is true? 1.5 greater-than 2 and one-half
Travka [436]

The inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have inequalities given:

1.5 > 2\dfrac{1}{2}

or

1.5 > 2.5  (false)

1/2 > 0.5

0.5 > 0.5 (false)

-2.5 > -1.5 (false)

-3 \dfrac{1}{2} > -4.5

-3.5 > -4.5  (true)

Thus, the inequality negative 3 and one-half greater-than negative 4.5 or -3.5 > -4.5 is true.

Learn more about the inequality here:

brainly.com/question/19491153

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7 0
2 years ago
Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.
iogann1982 [59]

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

   0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→  Blocks  :  height (ft)

→   3          :   0.5

→   x          :   4

→ By using the cross multiplication

∵ x × 0.5 = 3 × 4

∴ 0.5x = 12

→ Divide both sides by 0.5 to find x

∵ \frac{0.5x}{0.5} = \frac{12}{0.5}

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

7 0
3 years ago
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