Let's go shape by shape!
The area of a rectangle can be calculated as follows:
where L = length and W = width
The area of a trapezoid can be calculated as follows:
where b1 and b2 = lengths of the base and H = height of the shape
The area of a parallelogram can be calculated as follows:
where B = length of the base and H = height of the shape
Answer:
B
Step-by-step explanation:
Minimum L = 45
Maximum L = 180
L(w) = 3w - 27
Therefore, when 45 = 3w - 27 ⇒ w = 24
when 180 = 3w - 27 ⇒ w = 69
So 24 ≤ w ≤ 69
Therefore, the answer is B
Mary has 5 2/5 yards of string. Written as an improper fraction, 5 2/5 = 27/5 yards of string.
The friend was given 2/3 of the string. The friend received 2/3 * 27/5 = 18/5 yards which is the same as 3 3/5 yards and also 3.6 yards.
After Mary gave the friend the string, Mary had 27/5 - 18/5 = 9/5 yards left.
9/5 yards is the same as 1 4/5 yard and also 1.8 yards.
we know that 9*9 = 81, so let's start there.
0.9 * 0.9
one amount has 1 decimal, the second amount has another decimal, so in the product, we must have two decimals, let's do the multiplication without the dot.
09 * 09 = 81
but we must have two decimals, so that becomes 0.81.
0.09 * 0.9
here we do the same, the multiplication without the dot, and then we add as many decimals, in this case is 3 decimals, first term has 2 and the second term has 1 decimal, so the product must have 3 decimals.
009 * 09 = 81
getting those 3 decimals.......... 0.081.
0.009 * 0.9
here we do the same
0009 * 09 = 81
the product needs 4 decimals, so................ 0.0081.
0.009 * 0.09
we do the same here
0009 * 009 = 81
since the product needs 5 decimals................. 0.00081.
$39 x 3 = $117
$15 x 4 = $60
$27 x 2 = $54
$117 + $60 + $54 = $231
Gina's total bill was $231