Answer:certiN
Step-by-step explanation:
<span>So we want to know how much sand can we store in a cylinder that has height h=5 feet and a radius r=0.5 feet if we need 0.48 ft^3 of sand for a batch of mortar. That is, how many batches of mortair can we make from the sand in the cylinder. So lets first calculate the volume V of the cylinder: V=r^2 * pi * h=3.925 in^3. Now lets divide the volume by 0.48 so we get the unit od sand needed for one batch od mortar: V/0.48= 8.177083. The nearest whole number is 8. </span>
Answer:
c.
0.1824
Step-by-step explanation:
The computation of the decay factor is as follows;
= (1 - decrease percentage) × (1 - decrease percentage) × (1 - decrease percentage)
= (1 - 0.2) × (1 - 0.4) × (1 - 0.62)
= (0.8) × (0.6) × (0.38)
= 0.1824
hence, the decay factor is 0.1824
Therefore the option c is correct
Answer:
The town recreation department ordered 66 baseballs and 24 bats.
Step-by-step explanation:
Let the number of baseball be 'x'.
Also Let the number of bats be 'y'.
Given:
Total items bought = 100
Now we can say that;
Total items bought is equal to sum of number of baseball and number of bats.
Framing in equation form we get;
![x+y =100 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=x%2By%20%3D100%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
Also Given:
Cost of each baseball = $4.50
Cost of each bat = $20
Total purchase = $822
Now we can say that;
Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.
framing in equation form we get;
![4.5x+20y =822 \ \ \ \ equation\ 2](https://tex.z-dn.net/?f=4.5x%2B20y%20%3D822%20%5C%20%5C%20%5C%20%5C%20equation%5C%202)
Multiplying equation 1 by 4.5 we get;
![4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3](https://tex.z-dn.net/?f=4.5%28x%2By%29%20%3D100%5Ctimes4.5%5C%5C%5C%5C4.5x%2B4.5y%20%3D%20450%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%203)
Now Subtracting equation 3 from equation 2 we get;
![(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372](https://tex.z-dn.net/?f=%284.5x%2B20y%29-%284.5x%2B4.5y%29%20%3D%20822-450%5C%5C%5C%5C4.5x%2B20y-4.5x-4.5y%20%3D372%5C%5C%5C%5C15.5y%20%3D%20372)
Dividing both side by 15.5 we get;
![\frac{15.5y}{15.5}= \frac{372}{15.5}\\ \\y =24](https://tex.z-dn.net/?f=%5Cfrac%7B15.5y%7D%7B15.5%7D%3D%20%5Cfrac%7B372%7D%7B15.5%7D%5C%5C%20%20%5C%5Cy%20%3D24)
Substituting the value of y in equation 1 we get;
![x+y =100\\\\x+24 =100\\\\x =100-24 =66](https://tex.z-dn.net/?f=x%2By%20%3D100%5C%5C%5C%5Cx%2B24%20%3D100%5C%5C%5C%5Cx%20%3D100-24%20%3D66)
Hence the town recreation department ordered 66 baseballs and 24 bats.