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>.
So the grasshopper traveled 2 yards in each jump
Answer:
x=4.875
y=-0.25
Step-by-step explanation:
4x – 2y = 10
2x-y=10
y=2x-10
4x + 6y = 18
2x+3(2x-10)=9
8x=39
x=4.875
y=2(4.875)-10
y=-0.25
Answer:
His total income is of $1,371.2.
Step-by-step explanation:
His salary is of $500, plus 8% of his sales.
In this question:
Sales of $10,890. So his salary is given by:
His total income is of $1,371.2.
Answer:
Step-by-step explanation:
I'm assuming these are logs to the base 6
2 log6 x = 2
log6 x^2 = 2
So x^2 = 6^2
x = 6, -6.
