Answer:
X = 2, -8
Step-by-step explanation:
A. 485 is %3 of 500, but the deviation sets it slightly lower than that
Answer:
No
Reasoning:
If something is a perfect cube, it is able to be put under a cube root (
) and will result in an integer (a non-decimal number > 0, basically).
So let's calculate
, and see if the result is an integer.
= 3.634.......
As you can see, the result is not an integer, therefore 48 is not a perfect cube.
Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
Answer:
B
Step-by-step explanation:
For 11 1/2 gallons, he paid $36.80.
We need to find the cost per gallon.
First, converting 11 1/2 gallons to decimal, it is:
1/2 = 0.5
So, 11 1/2 is 11.5 gallons
So, Cost Per Gallon (last week) = 
There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.
<em>5% = 5/100 = 0.05</em>
<em>0.05 * 3.20 = 0.16</em>
<em>So,</em>
<em>3.20 + 0.16 = $3.36 per gallon</em>
<em />
Cost Per Gallon (this week) = $3.36
To buy 9 1/4 gallons it would take:

<u>Note:</u> 1/4 = 0.25, so 9 1/4 = 9.25
It would cost $31.08 to buy 9.25 gallons this week
Correct answer is B