Length (L): L
width (w): (2/3)L
Perimeter (P) = 2L + 2w
390 = 2(L) + 2(2/3)(L)
1170 = 6L + 4L
1170 = 10L
117 = L
width (w): (2/3)L = (2/3)(117) = 2(39) = 78
Answer: width = 78 ft, length = 117 ft
Answer:
1488 sandwiches in thirty minutes
Step-by-step explanation:
The polynomial remainder theorem says that the remainder when dividing a polynomial
by a linear divisor
is simply
.
If
, then the remainder upon dividing by
is
You could also verify this by actually computing the quotient and remainder.
Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
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