Answer:
2. x = 47
3. x = 2
Step-by-step explanation:
These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.
2. 28(7) = 4(x + 2)
Distribute = 196 = 4x + 8
Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x
Solve for x: x = 47
3. 2(2x + 7) = 11(3x - 4)
Distribute: 4x + 14 = 33x - 44
Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x
Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x
Solve for x: x = 2
Answer:
0.67
Step-by-step explanation:
2/3= to 0.66 which means 0.67 would be technally larger than 0.66
20 is 85% of the number 23.5294
Answer:
288 in.
Step-by-step explanation:
when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume
6 in. x 12 in. x 4 in. = 288 in.
Answer: Juan travelled 28 miles in the taxi
Step-by-step explanation:
A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)
So if F represents the fare, then
F = $2.25 + $0.20(m - 1)
If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,
F = $2.25 + $0.20(m - 1). It becomes
7.65 = 2.25 + 0.20(m-1)
7.65 = 2.25 + 0.20m - 0.20
7.65 - 2.25 + 0.20 = 0.2m
0.2m = 5.6
m = 5.6/0.2 = 28 miles