Refer to the diagram shown below.
The exit for Freestone is built midway between Roseville and Edgewood,
therefore the distance from O to the new exit is
(1/2)*(33+55) = 44 mi.
Let x = distance from Midtown to the new exit.
Because the distance from O to the new exit is equal to (x + 17), therefore
x + 17 = 44
x = 44 - 17 = 27 mi.
Answer:
When the new exit is built, the distance from the exit for Midtown to the exit for Freestone will be 27 miles.
Answer:
160 acres
Step-by-step explanation:
Given data
Total Amount of land= 280 Acres
Ratio=4:3
Total part = 4+3= 7
Applying the part to all method
let AI receive x acres
Then
4/7= x/280
cross multiply
7x= 280*4
7x=1120
x= 1120/7
x= 160
Hence AI will receive 160 acres
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15
Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15
Then:
8x²=2ax²
a=(8x²)/(2x²)=4
bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22
Answer: a=4 and b=22.
When you divide with fractions you have to multiply the "dividend" with the reciprocal of the "divisor".
2 1/2 in improper fraction is 5/2
5 x 2/5 = 10/5 = 2
Answer:
1/2, 2/4
Step-by-step explanation: