Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Answer:
1. $66
2. 30 + 4r
Step-by-step explanation:
Let
Price of admission into the park=$30
Price of every ride in the park=$4
Number of rides =x
Total cost of going to the park= 30+4x
1. How much money would Claire have to pay in total if she goes on 9 rides
Total cost of going to the park= 30+4x
When x=9
=30+4x
= 30 + 4(9)
=30 + 36
=$66
2. How much would she have to pay if she goes on r rides?
When x=r
Total cost of going to the park= 30+4x
= 30 + 4(r)
=30 + 4r
Answer:
b+a+09=097
Step-by-step explanation:
welcome
Answer:
8 minutes.
Step-by-step explanation:
Let m represent number of minutes.
We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.
So total distance covered by Mike's sister after m minutes would be 
.
Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be 
.
Now, we will equate both expressions to find minutes at which both distances will be equal as:
Therefore, it will take after 8 minutes for Mike to catch his sister.
