Answer:
3 7/50
Step-by-step explanation:
so you need them to become common denominators
a common multiple they both have would be is 77
6/7 becomes 66/77 and 3/11 becomes 21/77
now we divide
keep the 66/77 as is and flip 21/77 (keep, change, flip)
so now our equation looks like this: 66/77 x 77/21
and your answer is 3.14
but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)
x = 8
Explanation:
AE = 3x - 4
EC = x + 12
SInce diagonals AC and DB intersect at E
it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC
AE = EC
3x - 4 = x + 12
collect like terms:
3x - x = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
$15.00 * 20% = $15.00 * 0.2 = $3.<span>00
the answer is </span>$3.<span>00</span>
