Answer:
where is the qwestion ,??
1 batch . . . . 2-1/4 cups
2 batches . . 4-1/2 cups
3 batches . . 6-3/4 cups
4 batches . . 9 cups
.
.
<em>7 batches</em> . . 7(2 + 1/4) =
(7 x 2) + (7 x 1/4) =
14 + ( 7/4) =
14 + 1-3/4 = <em>15-3/4</em>
c). Write a proportion: (1 batch) /(3 dozen) = (x) / (200 cookies)
1 dozen = 12 cookies
3 dozen = 36 cookies
So the proportion is (1 batch)/(36 cookies) = (x) / (200 cookies)
Cross-multiply: (1 batch) x (200 cookies) = ('x' batch) x (36 cookies)
Divide each side by (36 cookies):
(1 batch x 200 cookies / 36 cookies) = 'x' batch
(200 batch / 36) = 'x' batch
x = 200/36 = <u>5.55 batches</u>
If you can only make whole batches, then you need to make 6 of them
in order to have at least 200 cookies.
d). There's more than one possible unit rate here:
-- 2.25 cup flour per batch
-- 0.75 cup flour per dozen cookies
-- 0.0625 cup flour per cookie
-- 16 cookies per cup flour
-- 0.444 batch per cup flour
etc.
3 field goals and 5 touchdowns were made by the team.
Step-by-step explanation:
Given,
Number of times football team scored = 8
Worth of points scored = 44 points
Each touchdown worth = 7 points
Each field goal worth = 3 points
Let,
x be the number of times touchdown was made
y be the number of times field goal was made
x+y=8 Eqn 1
7x+3y=44 Eqn 2
Multiplying Eqn 1 by 7
![7(x+y=8)\\7x+7y=56\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=7%28x%2By%3D8%29%5C%5C7x%2B7y%3D56%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 2 from Eqn 3
![(7x+7y)-(7x+3y)=56-44\\7x+7y-7x-3y=12\\4y=12](https://tex.z-dn.net/?f=%287x%2B7y%29-%287x%2B3y%29%3D56-44%5C%5C7x%2B7y-7x-3y%3D12%5C%5C4y%3D12)
Dividing both sides by 4
![\frac{4y}{4}=\frac{12}{4}\\y=3](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%3D%5Cfrac%7B12%7D%7B4%7D%5C%5Cy%3D3)
Putting y=3 in Eqn 1
![x+3=8\\x=8-3\\x=5](https://tex.z-dn.net/?f=x%2B3%3D8%5C%5Cx%3D8-3%5C%5Cx%3D5)
3 field goals and 5 touchdowns were made by the team.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Step-by-step explanation:
3x/2 - 2 > 7
3x/2 > 9
3x > 18
x > 6
for the line graphic below it seems you need to calculate x.
please consider that both angles together must be 180°, as they represent the full rotation area around one point on one side of a line.
8x + (4x + 60) = 180
8x + 4x + 60 = 180
12x = 120
x = 10