Answer:
The quotient is 48.
Step-by-step explanation:
Estimate the quotient using compatible numbers:
45 (or I guess any number close the answer above, not sure tbh)
Multiply the estimate by 21:
945
45*21
Is the estimate to high or too low?
too low
Adjust and continue until the product is 1008.
1008/21=48
Have a good day/evening! I hope my answer is correct!
8 over 20 equals 6 over 15
Answer:
a = 3 7/18 or 3.388889
Step-by-step explanation:
First, you want to get the a by itself, so you would subtract 4 from the left side of the equals sign.
6a + 4 = 61 / 3 + 4
-4 -4
6a = 61 / 3
By doing that, they cancel each other out, so you are left with
6a = 61 / 3
Then you want to get a by itself, so you divide 6 from both sides.
6a / 6 = 61 / 3 / 6
Remember that 6 can also be written as 6/1
Remember that dividing a fraction is multiplying the reciprocal.
6a / 6 = 61 / 3 / 6 / 1
When dividing fractions remember to Skip the first fraction, Flip the second fraction, and Multiply the two fractions together.
61 / 3 x 1 / 6
skip multiply flip
Multiply across the top, and across the bottom.
61(1) and 3(6)
Then you get
61 / 18
So a = 61 / 18
If you want to convert that to a mixed number, it would be 3 7 / 18
If you want that in a decimal, it would be 3.388889
Through my understanding of the question I think the correct answers would be A and D.
hope this helps
For the sake of showing work I will replace the empty space with an x like so...

To find out what x is you must cross multiply (aka butterfly)
***Image of this step is attached below
9*x = 10*90
9x = 900
Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the left side and bring it over to the right side.
9x ÷ 9 = 900 ÷ 9
1x = 100
x = 100
To make these fractions equivalent the empty spot must be 100

Hope this helped!
~Just a girl in love with Shawn Mendes