Question

I put ^ next to the answer i put. can you tell me if im correct or not. and if not can you correct it for me and tell me what i did wrong?

1.
The length of a rectangle is 6 1/2 inches and the width is 3 3/4 inches. What is the ratio, using whole numbers, of the length to the width? (1 point)
* 26 : 15
* 26 : 30
*15 : 26 ^
*13 : 15

2. If x+3/3 = y+2/2, then x/3 = ____. (1 point )
* y + 1
* y/3 ^
* y/2
* y - 1

3. Solve the proportion.
n - 6/ 3n = n - 5/ 3n + 1

* -3 ^
* 2/5
* 9/17
* 3

4. A model is built having a scale of 1 : 100,000. How high would a 35,600-ft mountain be in the model? Give your answer to the nearest tenth of an inch. (1 point)

* 4.272 in. ^
* 2.136 in.
* 0.356 in.
* 427,200 in.

Answer 1

1. L/W = 6 1/2 / 3 3/4,
Convert to improper fractions:
L/W = 13/2 / 15/4,
Invert and multiply:
L/W = 13/2 * 4/15 = 52/30 = 26/15.

2.Since you did not use parenthesises,
there are 2 ways to interpret this problem. I will solve both ways:

(X+3)/3 = (Y+2)/2,
Multiply both sides by 6:
2X+6 = 3Y+6,
2X = 3Y+6-6,
2X = 3Y,
X = 3Y/2,
Divide both sides by 3:
X/3 = 3Y/6 = Y/2.

2. X + (3/3) = Y + (2/2),
X + 1 = Y + 1,
X = Y + 1 - 1,
X = Y,
X/3 = Y/3.

3. Correct!

4. Correct!