Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
Answer:
See below
Step-by-step explanation:
13x + 5 + 17x - 4.5 + x
NOTE: You can only add/subtract LIKE terms . Here we have variable terms in x (13x , 17x and x) and 2 constants ( 5 and 4.5).
Sarah's next line is
18x + 17x - 4.5 + x
This is incorrect . It looks like she added 13x + 5 and got 18x!! Which is of course wrong because they are NOT LIKE terms. 5 is a constant and 13x is a variable term in x.
The third line is correct:-
35x - 4.5 + x.
She has added the 2 variables 17x and 18x.
Fourth line is 30.5x + x. She's at it again - Trying to subtract 4.5 from 35x .
Last line 31.5x
She has added the 2 terms in x correctly, but the final answer is wrong of course due to the earlier errors.
Answer:
c
Step-by-step explanation: