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AlexFokin [52]
3 years ago
10

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
y=3.6x
Plug in the x value to solve for y.
y = 3.6(11)
y= 39.6
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Let the two numbers are x and y

Let larger number = x

and smaller number = y

it means

x-y = 0.77

Now it says larger number is increased 5 times

So it now becomes 5x

So second equation becomes

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Now we have to solve these two equations

x-y = 0.77 and 5x-y = 77

multiply first equation by -1 and then add both equations

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Now on adding we get

-x+5x +y -y = 77-0.77

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Divide both sides by 4

x=19.0575

We get the larger number , now subtract 0.77 from this , we will get the smaller number

y=19.0575-0.77=18.2875

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Hence the larger number = 19.0575

Smaller number = 18.2875

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3 years ago
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True or false:x/3 is equivalent to 1/3x.explain your reasoning.
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Express the form 1: n <br><br> 5:20
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5 : 20

Divide both sides by 5 to get the answer

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Thus, the answer is 1 : 4

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Answer:

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Goryan [66]

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

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Required

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First, we get the proportion of the larger angle (from the ratio)

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Its value is then calculated as:.

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θ = ¾ * 72°

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