Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
No, it should not give exactly the right amount because numbers will have to be rounded because US dollars only go to the hundredths place making the final number slightly different than the exact value would be.
Answer:
B. 30
Step-by-step explanation:
A line is 180 degrees, so when we have 100, we subtract that from 180 to get the interior angle of 80.
A triangle has a sum of 180, so we just subtract 80 and 70 from 180 to get 30.
Hope this helps
I am assuming that the cost of an oil change already includes the mark-up.
So, 18 is 175%. 18 ÷ 1.75 = 10.29 is the original cost.
10.29 * 3/4 = 30.87/4 = 7.71 mark-up
10.29 + 7.71 = 18
Or if 18 is the basis of the mark-up, then,
18 * 3/4 = 54/4 = 13.50 mark-up
18 + 13.50 = 31.50 new cost of an oil change
Answer:
3 1/3
Step-by-step explanation:
It is 3 1/3 because 2/3 x 5 equals 3.33333333333 which we shorten to 3.3 which equals 3 3/10 which that equals 3 1/3.
