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.
1. please check:
6 1/2 : 3 3/4
= 13/2 : 15/4
= 26/4 : 15/4
2. correct.
x+1=y+1
so x=y
3. correct
4. correct
356000*12/100000=4.272
Sure! Let's go through each question and see if your answers are correct.
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?
To find the ratio of the length to the width using whole numbers, we need to simplify the given lengths to whole numbers.
The length can be written as 6 1/2, which is equivalent to 13/2. To simplify this to a whole number, we multiply the numerator and denominator by 2, giving us 26/4. Simplifying further, we get 13/2.
The width is given as 3 3/4, which is equivalent to 15/4.
So the ratio of the length to the width in whole numbers is 13 : 15.
Your answer of 15 : 26 is incorrect, so the correct answer is 13 : 15.
2. If x+3/3 = y+2/2, then x/3 = _____.
To solve this equation, we need to isolate x.
Starting with the given equation (x+3)/3 = (y+2)/2:
To eliminate the fractions, we can cross multiply. This gives us 2(x+3) = 3(y+2).
Expanding both sides of the equation, we get 2x + 6 = 3y + 6.
Now, we can isolate x by subtracting 6 from both sides: 2x = 3y.
Finally, divide both sides by 3: x/3 = y.
Your answer of y/3 is correct, so well done!
3. Solve the proportion: (n - 6) / 3n = (n - 5) / (3n + 1).
To solve a proportion, we can cross multiply:
(n - 6)(3n + 1) = 3n(n - 5).
Expanding both sides of the equation, we get 3n^2 - 18n + n - 6 = 3n^2 - 15n.
Combining like terms, we have 3n^2 - 17n - 6 = 3n^2 - 15n.
Subtracting 3n^2 from both sides gives us -17n - 6 = -15n.
Next, we can simplify further by adding 15n to both sides: -2n - 6 = 0.
Finally, adding 6 to both sides gives us -2n = 6, and dividing both sides by -2 gives us n = -3.
Your answer of -3 is correct, so well done!
4. A model is built with 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.
To find the height of the mountain in the model, we need to determine the scale factor between the real height and the model height.
The scale is given as 1 : 100,000, which means that 1 unit in the model represents 100,000 units in reality.
To find the model height, we divide the real height by the scale factor (100,000): 35,600 / 100,000 = 0.356.
Therefore, the height of the mountain in the model would be 0.356 inches.
Your answer of 4.272 inches is incorrect. The correct answer is 0.356 inches.
I hope this helps! Let me know if you have any further questions.