Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4
We can establish the following equality statement to solve for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
Combine like terms:
5x - 7 = 53
Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60
Divide both sides by 5 to solve for x:
5x/5 = 60/5
x = 12
Substitute the value of x into the equality statement to verify if it is the correct value for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).
Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25
HI = 2x + 4
HI = 2(12) + 4
HI = 28
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Answer:
n = 7
Step-by-step explanation:
n+ 4 = 11 subtract 4 from both sides of the equation
n + 4 -4 = 11-4
n = 7
51.65 to the nearest whole number
After the whole number 51, the next digit is 6, and since this is more than 5. So we round up the 51 to 52.
51.65 ≈ 52 to the nearest whole number.
Answer:
Step-by-step explanation:
18in^2(3mi/in)^2
18in^2(9mi^2/in^2)
162 mi^2
Answer: she can rent the bike for a maximum of 13 hours.
Step-by-step explanation:
Let h represent the number of hours for which she rents the bike.
The equation used by Janis to find the total cost, C, in dollars, of renting a bike for h hours is expressed as
C = 4h + 8
If Janis does not spend more than $60, then it means that
4h + 8 ≤ 60
4h ≤ 60 - 8
4h ≤ 52
h ≤ 52/4
h ≤ 13
Therefore, the maximum number of hours for which she can rent the bike is 13.
