Answer:
A. 1/8, 4/32
Step-by-step explanation:
We have four pairs of ratios and are asked to find which pair equals the same amount.
To do so, we just need to see what ratio can multiply into both numbers equally into the first pair and forms the second pair.
A. 1/8, 4/32
1
:
8
1 * 4
:
8 * 4
4/32
B. 1/3, 12/45
1
:
3
1 * 12
:
3 * 12
12/36
C. 2/3, 10/18
2
:
3
2 * 5
:
3 * 5
10/15
D. 4/3, 16/9
4
:
3
4 * 4
:
3 * 4
16/12
The ratio is 4:6, which simplifies to 2:3.
Answer:
D. Make the column wider
Step-by-step explanation:
Answer:
The height of the taller tree is 7.5 feet.
Step-by-step explanation:
I am going to say that:
The height of the shorter tree is x.
The height of the taller tree is y.
The height of shorter tree is 3/5 of the height of the taller tree.
This means that ![x = \frac{3y}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3y%7D%7B5%7D)
If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree?
This means that ![x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B8%2B1%7D%7B2%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7D)
We want to find y.
![x = \frac{3y}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3y%7D%7B5%7D)
![\frac{9}{2} = \frac{3y}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D%20%3D%20%5Cfrac%7B3y%7D%7B5%7D)
![6y = 45](https://tex.z-dn.net/?f=6y%20%3D%2045)
![y = \frac{45}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B45%7D%7B6%7D)
![y = 7.5](https://tex.z-dn.net/?f=y%20%3D%207.5)
The height of the taller tree is 7.5 feet.
The size ot the "larger square" is 5cm