Answer:
27% and 37%
Step-by-step explanation:
Percentage of students who oppose the year-round school = 68%
Percentage of students who support the year-round school = 32%
Margin of error = ± 5%
We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.
Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%
This thing can be expressed as absolute valued equation as:
| x - 32 | = 5
Here x represents the least and greatest percentages.
Expanding the equation, we can write:
x - 32 = -5 or x - 32 = 5
x = -5 + 32 or x = 5 + 32
x = 27% x= 37%
This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.
Answer:
0.5 m³
Step-by-step explanation:
You have a rectangular prism and a cube. Find the volume of each separately. After solving, add the two volumes together to find the total volume.
<em>Cube</em>
The side length is 0.5 m.
V = a³
V = (0.5 m)³
V = 0.125 m³
<em>Rectangular Prism</em>
The height is 0.75 m, the width is 0.5 m, the length is 1 m.
V = lwh
V = (0.75 m)(0.5 m)(1 m)
V = 0.375 m³
0.125 m³ + 0.375 m³ = 0.5 m³
Let 
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use 
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means
so the answer is B.
Answer:
Step-by-step explanation:
Given expression:
In order to simplify the given expression, we will first group the like terms.
Then we combine the like terms,
The terms combined can be written as:
(Answer)
