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PSYCHO15rus [73]
2 years ago
6

If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is value of y

Mathematics
1 answer:
Rus_ich [418]2 years ago
3 0

Answer:

y = 60

Step-by-step explanation:

<h3>Step 1: Make sense of the given</h3>

"The ratio of y to x is 3"

This means that, y\div x=3

"The sum of y and x is 80"

This means,  x+y=80

<h3>Step 2: Make use of the facts</h3>

If y\div x=3, then y = (3*x).

We can plug this into the other equation by substitution:

x + (3 * x)=80

This simplifies to:

4x = 80

Which we can solve out and get:
x=20.

<h3>Step 3: Plug and Chug</h3>

We solved for x, but we need the value of y.

So, we go back to the equation we first derived: "y = (3*x)".

And now we substitute the value of x, into this.

y = (3 * (20))

By solving this out, we get:
y=60

So, the value of y is 60.

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7 0
3 years ago
The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i
Gelneren [198K]

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

Or,

x-28=0      =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

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3 years ago
Please help, anything would be very much appreciated
jasenka [17]

Answer:

answer is 5.50

Step-by-step explanation:

multiply 2.75 times two because 3 by 5 is half of 9 by 15

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