Answer:
25t+95 or 5(5t + 19)
Step-by-step explanation:
The total of the sound fee = $25
The total of the rental fee = $95
Write is as an equation and you can get 25t + 95 or 5(5t + 19)
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Answer:
Step-by-step explanation:
The area of a rectangle can be found with the formula
, where
is the length of the rectangle and
is the width.
From the given problem statement, we know that
and
, so we can fill in those values in the formula anbd solve for
to get the width:
![A = l*w](https://tex.z-dn.net/?f=A%20%3D%20l%2Aw)
![161 = 14w](https://tex.z-dn.net/?f=161%20%3D%2014w)
Divide both sides by
to isolate
by itself:
![\frac{161}{14} = \frac{14w}{14}](https://tex.z-dn.net/?f=%5Cfrac%7B161%7D%7B14%7D%20%3D%20%5Cfrac%7B14w%7D%7B14%7D)
![w = 11.5](https://tex.z-dn.net/?f=w%20%3D%2011.5)
Answer:
Step-by-step explanation:
Note that one equation has -2y and the other has +2y. The fastest solution is to add the equations together. The two terms will cancel out, eliminating the y terms.
Hey You!
60 * 79% = 47.4
You can solve it by:
(60 ÷ 100 × 79 = 47.4)
Sam will make 47.4 of his throws.