Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
Answer:
<u>11098 cm³</u>
Step-by-step explanation:
<u>Volume of top prism</u>
- V = 62 x 3 x (13 - 7)
- V = 186 x 6
- V = 1116 cm³
<u>Volume of bottom prism</u>
- V = 62 x 23 x 7
- V = 1426 x 7
- V = 9982 cm³
⇒ Total volume = Volume (top) + Volume (bottom)
⇒ Total volume = 1116 + 9982
⇒ Total volume = <u>11098 cm³</u>
Answer:
Step-by-step explanation:
To answer this question, first we need to figure out how much of the board Rafi cut off.
To do this, we need to multiply the length of each piece by the number of pieces he cut off.
3 7/8 = 3.875
3.875 * 3 = 11.625
Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.
15 1/2 = 15.5
15.5 - 11.625 = 3.875
There is 3.875 feet or 3 7/8 of the board left.
Answer:
3/70
Step-by-step explanation:
change 1/10 and 1/7 so the denominator (bottom number) is the same. 1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.
