Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that Y varies directly with X, and Y = 15 and X = 5, if we introduce a constant of proportionality, k, the expression becomes
15 = 5k
k = 15/5
k = 3
The equation would be
Y = 3X
Therefore, when X = 9, the value of Y would be
Y = 3 × 9
Y = 27
The car moved 175.84 cm in one revolution
The car has moved 17584 cm in 100 revolutions
<em><u>Solution:</u></em>
Given that car wheel is 56 cm in diameter
diameter = 56 cm
To find: distance traveled in one revolution of wheel
Usually wheel is of circular shape
one revolution of wheel = circumference of circle
<em><u>The circumference of circle is given as:</u></em>
![c = 2 \pi r](https://tex.z-dn.net/?f=c%20%3D%202%20%5Cpi%20r)
We know that,
diameter = 2(radius)
![d = 2r](https://tex.z-dn.net/?f=d%20%3D%202r)
<em><u>So the circumference becomes:</u></em>
![c = \pi d](https://tex.z-dn.net/?f=c%20%3D%20%5Cpi%20d)
substitute
= 3.14 and d = 56 cm
![c = 3.14 \times 56 = 175.84](https://tex.z-dn.net/?f=c%20%3D%203.14%20%5Ctimes%2056%20%3D%20175.84)
Thus the car moved 175.84 cm in one revolution
<em><u>B. How far does it go in 100 revolutions</u></em>
Distance covered in 100 revolutions = 100 x Distance covered in 1 revolution
![\rightarrow 100 \times 175.84 = 17584](https://tex.z-dn.net/?f=%5Crightarrow%20100%20%5Ctimes%20175.84%20%3D%2017584)
Thus the car has moved 17584 cm in 100 revolutions
Answer:
#8 - substitution property of equality
hop this helps! <3
Now
Now
Probability of not selecting gray =12/14
Now
But pink is in 5
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