Answer:
x = 9
y = 12
Step-by-step explanation:
✔️m<ADB = 90°
7x + 27 = 90
7x = 90 - 27
7x = 63
Divide both sides by 7
x = 9
✔️BC = 2(BD)
3y - 7 = 2(y + 3)
3y - 7 = 2y + 6
Collect like terms
3y - 2y = 7 + 6
y = 12
She has 9/8 cups of brown sugar as a fraction. As a decimal, which is easier to work with here, it is 1.125. She needs 1.5 cups. If we set this up as a proportion, we can figure out how many cookies she can make meeting the restriction of brown sugar, and then scale the other ingredients down accordingly. To figure the number of cookies, our proportion will have brown sugar on top and number of cookies on bottom. What we are looking for is the number of cookies she can make with 1.125 cups of brown sugar when she can make 24 with 1.5 cups of brown sugar.

. Cross multiply to get 1.5x = 27 and x = 18. She can make 18 cookies. Now let's backtrack to the ingredients based on the number of cookies we can make. Set each ingredient up in a proportion with the ingredient on top and the number of cookies on the bottom. First ingredient you want is flour. 2.25 cups of flour make 24 cookies and we need to find out how much flour will we need to make 18 cookies.

. Cross multiply to get 24x = 40.5 which simplifies to x = 27/16 or 1 11/16 cups of flour. Do all the ingredients in the same way and you'll be fine!
Answer:
First answer is 1200
Second answer is 900 for each new employee
Step-by-step explanation:
First answer:
2200+1300+800+940+560+x = 7000
5800+x = 7000 subtract 5800 from both sides and you get your answer
x = 1200
Second answer:
x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.
To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.
(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/
7000 +2x = 8800 Subtract both sides by 7000
2x = 1800 Divide both sides by 2
x = 900