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
Answer:
Step-by-step explanation:
1st box. -3x
2nd and 3rd box. -21 on each side
4th box. 0
and you have the rest I hope I could help you.
Answer:
pounds.
Step-by-step explanation:
Let x be the total amount of potting soil needed to complete the planting in new garden.
We are told that a school group is helping plant a new city garden. Today they used 12 1/2 pounds of potting soil and planted 2/5 of the garden. This means 2/5 of x equals to 12 1/2.
To find the amount of soil needed for the next of planting we will subtract the amount of potting soil used on the first day 
from amount of total potting soil 
.
Therefore, the group will need pounds of potting soil to finish their work.
Answer:
It would be the first option: Last week, Rosemary walked at a faster pace.
Step-by-step explanation:
Last week, the speed was d=3h, as for this week, her speed was d=2.5h.
No one knows how many hours she walked this week so we cannot say that she walked a greater distance.
6(12)
------- - 2
c(2)
72
----- = 36 - 2 = 34(answer)
2
