X= sales tax %
Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)
Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %
The sales tax is 5%.
Hope this helps! :)
Answer:
4 4/5 miles
Step-by-step explanation:
We want to multiply 4/5 * 6
4/5 * 6/1
24/5
We need to change this back to a mixed number
5 goes into 24 4 times (4*5 = 20 with 4 left over)
4 4/5 miles
Answer:
3 gallons
Step-by-step explanation:
Length of the rectangular wall = 23.6 feet
Width of the rectangular wall = 19.2 feet
Surface area of the wall = 23.6 × 19.2
= 453.12 square feet
∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon
∴ 1 square feet of the wall will be covered by the amount of paint = gallons
∴ 453.12 square feet will require the amount of paint =
= 2.2656 gallons
Therefore, minimum 3 gallons will be required to paint the wall.
Next time you should write the correct form of equation
because it affects greatly the answer. I believe the correct form would be:
f (x) = 2 * x^2 + 1
where the second 2 is a power of x
The average rate of change is also defined as the slope
of the equation. Therefore:
average rate of change = slope
Where slope is:
m = (y2 – y1) / (x2 – x1) = [f (0) – f (-1)] / (x2 – x1)
Calculating for f (0): x2 = 0
f (0) = 2 * 0^2 + 1 = 1
Calculating for f (-1): x1 = -1
f (-1) = 2 * (-1)^2 + 1 = 3
Substituting the known values to the slope equation:
average rate of change = (1 – 3) / (0 – 1)
average rate of change = -2 / -1
average rate of change = 2
<span>Answer: 2</span>