Answer:
A)
gallons
B) Distance between Town A and Town B is
miles
Step-by-step explanation:
A)
We know, number of gallons = 
if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:
Number of Gallons = 
B)
Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>
We use the same formula and solve for distance (let distance between A and B be "D"):

Answer: 33 mph
Step-by-step explanation:
First find out what 40% of 55 is:
= 40% * 55
= 22 mph
This means that the speed reduces by 22 mph inside the city.
The speed inside the city is therefore:
= 55 - 22
= 33 mph
Area of triangle=1/2 times base times height
given that area=24 and height=6
24=1/2 times base times 6
24=1/2 times 6 times base
24=3 times base
divide both sides by 3
8=base
the base is 8 units long
The answer to the question is 5
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
<u>Given</u>:
- The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
- The perimeter of this triangle is between 10 feet and 24 feet inclusive.
<u>Find</u>:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
<u>Solution</u>:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.