Answer:
A. 3.5
Step-by-step explanation:
The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.
So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.
You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.
Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.
Hope this helps! :)
Step-by-step explanation:
y = x - 2
x + y = 12
Substitute the first expression for y into the second equation.
x + (x - 2) = 12
2x - 2 = 12
2x = 14
x = 7
Now plug into either equation to find y.
y = 7 - 2
y = 5
So the solution is (7, 5).
Answer:
Jack is 88, Priscilla is 75.
Step-by-step explanation:
Let J represent Jack's age and let P represent Priscilla's age.
Their age totaled 163, so:

And we know that Jack was 13 years older than Priscilla. In other words:

Solve for J and P. To do so, substitute the second equation into the first:

Combine like terms:

Subtract 13 from both sides:

Divide 2 from both sides:

So, Priscilla is 75 years old right now.
Jack is 13 years older meaning that Jack is 88 years right now.
And we're done!
Answer:
78 inches
Step-by-step explanation:
2 yards = 6 feet = 72 inches because 6 x 12 = 72 then, 1/2 of a foot = 6 inches. Then 72 + 6 inches = 78 inches :)
Answer: 36.4 miles per gallon!
Step-by-step explanation: To get your answer....divide the y (miles driven) by x (gallons used). Each divided gives you the answer of 36.4 which is the constant of proportionality between the number of miles driven and the number of gallons used.
For example: 691.6 divided by 19= 36.4
1528.8 divided by 42=36.4
1638 divided by 45=36.4