Answer:
x = 37
Step-by-step explanation:
2x + 9 = 83
-9 -9
2x = 74
--- ----
2 2
x = 37
Answer:
The percentage rate per annum is 2.8%
Step-by-step explanation:
We need to multiply the principal by the time, then divide the interest by the product of P×T, so:
1,600 × 5 = 8,000
224 ÷ 8,000 = 0.028
Then we convert our final product to a percentage.
0.028 to a percent is 2.8%
The answer would be 90 line ups
This is because 18 x 5 = 90
A) For the equation

, the slope is

.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if

, the slope is

.
B) Since this equation is in the same form, you just find what m is equal to.
Since

, that's the slope.
For the solution, set

equal to

, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
The first pipe pumps out

while the second pipe pumps out

So together, both pipes pump out

That is, with both pipes filling the tank, it should take 32 minutes total.