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Cerrena [4.2K]
3 years ago
15

Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer: 1.2 cups

Step-by-step explanation:

The original ratio is 5/2, which is 2.5 in decimal form. Just plug in numbers for the 3/x ratio. 3/1.2 equals 2.5.

Hope this helps! Please make me brainliest! :)

Yakvenalex [24]3 years ago
4 0

Set up a ratio 3 cups of flour / 5 cups of flour = x cups of sugar/ 2 cups of sugar.

Cross multiply:

(3x2) / 5x = 6 = 5x

Divide both sides by 5

X = 6/5 cups of

B. Setting up a ratio calculates the proper amount of ingredients

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3 years ago
−4x+7y+5=0<br> x−3y=−5<br> ​ <br><br> How many solutions does the system have?
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Solution:  

Using Substitution Method:

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

get the value of x from Equation 2

x=3y-5     (Equation 3)  

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

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Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5    

-4x+12y=20    

+    -     = -   (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5  

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

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