Answer:
4 parts
Step-by-step explanation:
If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3
To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:
12 * 1/3 = 12/3 = 4
You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.
Step 1. Simplify

to

Step 2. Simplify

to

Step 3. Simplify

to

Step 4. Cancel

on both sides
Step 5. Multiply both sides by

(the LCM of

)
Step 6. Expand
Step 7. Subtract

from both sides
Step 8. Simplify

to

Step 9. Multiply both sides by


Done! :) Hope this helps! :)
1. 140 - The reason it would be one 40 is honestly a really simple explanation. Is the ratio of boys to girls in 7-2 and the amount of girls is 40. That means that per 1 number, is 20 people since 40 divided by 2 is 20. So if I do 2 x 7 that would be 140.
2. I didnt really understand this one sorryyy.
3. 1200 (same rule applies) - Since The ratio is 1:11 and the 1 represents 100 beans. If I doo 100 x 11 that would be 1100, then I would add the 1100 to the 100 (from the 1) and that would be 1200.
4. 6:7 - If I do 650 - 350 that would be 300. Which means the ratio would be 300:350. But once simplified the answer would be 6:7.
5. 1:2 - 720 - 240 is 480. Therefore the ratio would be 240:480. Once simplified, the ratio is 1:2.
Hope this helped. Good luck!!! xo
Answer:
4. About 2,700 in2
Step-by-step explanation:
The area of a circle (
), measured in square inches, is directly proportional to the square of its diameter (
), measured in inches. That is:


Where
is the constant of proportionality, dimensionless.
In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that
,
and
, then:


Therefore, the correct answer is 4.
She paid $42 dollars in total.