Answer:
b=5.25
Step-by-step explanation:
Divide both sides. by -6.
-31.5/-6 = 5.25
Answer:
19 ft by 38 feets
Step-by-step explanation:
Given that :
Available fencing = 76 feets
Rectangular fencing with 3 sides
Let the 3 sides be :
x, x, y
x + x + y = 2x + y = 76
y = 76 - 2x
Area = x * y = xy
Area = (76 - 2x) * x
Area = 76x - 2x²
Take derivative of Area with respect to x ; dA
dA /dx = 76 - 4x = 0
76 - 4x = 0
-4x = - 76
x = 76 / 4
x = 19
2x + y = 76
2(19) + y = 76
38 + y = 76
y = 76 - 38
y = 38
Hence, dimension : 19feet by 38 feets
Answer:
If you know two number a and b and need find, b is what percentage of a, P=b
- 100%
a
Answer:
x-intercept: (3, 0)
y-intercept: (0, -10)
Step-by-step explanation:
<u>X-intercept:</u>
We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.
<u>Y-intercept:</u>
The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.
Answer:
6
Step-by-step explanation:
A painter mixes 2 1/2 pints (2.5 pints) of yellow paint with 4 pints of red paint to make a certain shade of orange paint. The ratio of yellow paint to red paint is 2.5:4. In order to find the pints of yellow paint needed to be mixed with 10 pints of red paint, we will use conversion fractions.
10 red pints × (2.5 yellow pints/ 4 red pints) ≈ 6 pints (we round off to 1 significant figure)
