All categories

3 years ago

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?

Mathematics

1 answer:

Luda [366]3 years ago

4 0

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

You might be interested in

W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

juin [17]

$\large{ \tt{❃ \: EXPLANATION}} :$

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

$\large{ \tt{❁ \: LET'S \: START }: }$

Set up an equation & solve for p :

$\large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}$

$\large{ \tt{↦ \frac{1}{2} p = p - 30}}$

$\large{ \tt{↦ \frac{1}{2} p - p = - 30}}$

$\large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}$

$\large{ \tt{↦p - 2p = - 60}}$

$\large{ \tt{ ↦ \: - p = - 60}}$

$\large{ \tt{↦p = 60}}$

The value of p is 60

$\large{ \tt{❇ \: REPLACING \: VALUE}} :$

$\large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}$

Hence , WZ = 30 .

♪ Success is not a magic or miracle , it's not a luck , it's full of late night hard work , compromises & sacrifices.

♡ Hope I helped ! ツ

☼ Have a wonderful day / night ! ☃

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

7 0

3 years ago

IS this a function or no

lesya [120]

Yep it is a function

7 0

3 years ago

Read 2 more answers

What is 1/2=1/2c-2 plz show work

KatRina [158]

1/2 = 1/2c - 2

+2 + 2

2.5 = 1/2c

----- -----

1/2 1/2

5=c

3 0

2 years ago

(−3y 2 −5y−2)+(−7y 2 +5y+2

Ksju [112]

The solution/answer to your question is -20 y

8 0

3 years ago

Read 2 more answers

1/2 convert the following fractions to percents

Whitepunk [10]

50% in 1/2 in fraction form

4 0

3 years ago

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?