Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
9x - 8(x - 6) = 52
Step 2: Solve for <em>x</em>
- Distribute -8: 9x - 8x + 48 = 52
- Combine like terms: x + 48 = 52
- Subtract 48 on both sides: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9(4) - 8(4 - 6) = 52
36 - 8(-2) = 52
36 + 16 = 52
52 = 52
Answer:
720g
Step-by-step explanation:
5 people = 240g
×3 x3
15 people = 720g
Answer:
The cost of 1 gallon is $2.5
<em></em>
Step-by-step explanation:
Given
Cost of 14 gallons = $35
Required
Determine the cost of 1 gallon
From the given parameters, we have:
Divide both sides by 14
Hence,
<em>The cost of 1 gallon is $2.5</em>
Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
