Answer:
Total income= $84.53
Step-by-step explanation:
Giving the following information:
They charge $70 for the job
plus 5% for supplies. A homeowner gave them a 15% tip.
<u>First, we need to calculate the total cost for the job:</u>
Total cost= 70*1.05
Total cost= $73.5
<u>Now, the total cost plus the tip:</u>
Total income= 73.5*1.15= $84.53
Fraction: 75/100
Decimal 0.75
Percentage: 75%
Answer:
147 in2
Step-by-step explanation:
(Assuming the height is 4 1/2 inches = 4.5 inches)
We need to calculate the area of all six faces of the prism
Two faces have the sides 8 and 3, which area is 8*3 = 24 in2
two other faces have the sides 8 and 4.5, which area is 8*4.5 = 36 in2
the two last faces have the sides 3 and 4.5, which area is 3*4.5 = 13.5 in2
So, summing up all the areas, we have:
24 + 24 + 36 + 36 + 13.5 + 13.5 = 147 in2
Answer:
<em>2(x - 1) - 1 = 3(x + 1) - 6 - x</em>
<em>There are infinitely many solutions.</em>
Step-by-step explanation:
<u>Equations</u>
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
