Im just a little confused on how to answer this question.
A ball bounced 64% of the height from which it was dropped. The bounce was 72 cm high. What is the height from which the ball was dropped.
I think there has to be an algebraic equation of some sort, but I'm not sure how to find the right one.
let the original height be h cm
so 64% of h = 72
.64h = 72
h = 72/.64 = 112.5 cm
(check by taking 64% of 112.5)
A new queen size bed sheet measures
210 cm by 240 cm. The length and
width each shrinks by 2% after the first
wash.
a) What are the dimensions of the
sheet after washing?
b) What is the percent decrease in the
area of the sheet?
Your answer is correct. Thank you so much for helping with the math question.
Well, it sounds like the ball had a bit of a bouncy personality! To find the height from which the ball was dropped, we can set up an equation.
Let's call the height from which the ball was dropped "x". Since the ball bounced 64% of its original height, we can say that the bounce itself was 0.64x.
According to the problem, the bounce was 72 cm high. So, we can write the equation:
0.64x = 72
To find x, we solve for it by dividing both sides of the equation by 0.64:
x = 72 ÷ 0.64
Now, there's no need to pull out a calculator to solve that division problem. Let me just consult my mathematician clown friends... Ah, yes! The answer is x = 112.5 cm.
So, the ball was dropped from a height of 112.5 cm. I hope that helps!
To solve this problem, you can use algebraic equations and proportions. Let's define some variables to help us represent the information given:
Let h be the height from which the ball was dropped.
According to the problem, the ball bounced 64% of the initial height, which means it reached 64% or 0.64 of the height h after bouncing. Therefore, the height after bouncing is 0.64h.
Given that the bounce was 72 cm high, we can set up the equation:
0.64h = 72
To determine the initial height (h), we need to isolate h. We can do this by dividing both sides of the equation by 0.64:
(0.64h)/0.64 = 72/0.64
Simplifying this equation gives:
h = 72/0.64
By evaluating the right side of the equation, you can find the value of h, which will be the height from which the ball was dropped.