<span>Simplifying
(5b + -9) + -3(8 + -2b) = 0
Reorder the terms:
(-9 + 5b) + -3(8 + -2b) = 0
Remove parenthesis around (-9 + 5b)
-9 + 5b + -3(8 + -2b) = 0
-9 + 5b + (8 * -3 + -2b * -3) = 0
-9 + 5b + (-24 + 6b) = 0
Reorder the terms:
-9 + -24 + 5b + 6b = 0
Combine like terms: -9 + -24 = -33
-33 + 5b + 6b = 0
Combine like terms: 5b + 6b = 11b
-33 + 11b = 0
Solving
-33 + 11b = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + 11b = 0 + 33
Combine like terms: -33 + 33 = 0
0 + 11b = 0 + 33
11b = 0 + 33
Combine like terms: 0 + 33 = 33
11b = 33</span>
Answer:
Lateral surface area of pentagonal prism = 750 cm²
Step-by-step explanation:
Given information:
Height of pentagonal prism = 15 cm
Length of edge = 10 cm
Length of apothem = 16.8 cm
Find:
Lateral surface area of pentagonal prism
Computation:
Lateral surface area of pentagonal prism = 5(a)(h)
Lateral surface area of pentagonal prism = 5(10)(15)
Lateral surface area of pentagonal prism = 750 cm²
Answer:
he would need 31 tanks
30 tanks would hold 240 fish with 6 left over
Step-by-step explanation:
246/8= 30.75
30*8 = 240
Answer:
The original price of the laptop is 840
Step-by-step explanation:
Here, we want to calculate the original price of a laptop, given the amount that was paid off and the discount percentage enjoyed.
Firstly, let’s add back the 50 taken off. That makes a total of 50 + 664 = 714
Now, we remember he was also given 15% off. Let the price paid be x;
The 15% of x is equal the difference between x and the 714
Thus;
15/100 * x = x - 714
15x/100 = (x-714)
15x = 100(x-714)
15x = 100x -71400
100x-15x = 71400
85x = 71400
x = 71400/85
x = 840
