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gladu [14]
1 year ago
11

Determine if each situation represents a proportional relationship. Explain your reason 1. A brownie recipe calls for 3 parts co

coa powder to 2 parts flour. Lizzy adds 1/3 cup of cocoa powder and 1/2 cup of flour.​
Mathematics
1 answer:
Nataliya [291]1 year ago
8 0

Answer:

Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.

Step-by-step explanation:

Brownie recipe:

Cocoa powder = 3 parts

Flour = 2 parts

Ratio of cocoa powder to flour = 3 : 2

Lizzy's recipe:

Cocoa powder = 1 cup

Flour = 1 cup

Ratio of cocoa powder to flour = 1 : 1

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For one full week, Cheng spent $12.50 per day on lunch. Write a multiplication expression using integers to show the overall imp
grin007 [14]
Answer is :a x 12.50= 87.5
3 0
3 years ago
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
2 years ago
2e = 2 Solve the equation.
Kipish [7]

Answer:

e=1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
-4x + 7y = 18
sasho [114]

Answer:

​​

Step-by-step explanation:

Subtract 7y7y from both sides.

-4x=18-7y−4x=18−7y

2 Divide both sides by -4−4.

x=-\frac{18-7y}{4}x=−

​4

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​18−7y

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3 years ago
Simplify (6^-2) (3^-3) (3*6)^4
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Answer:

108

Step-by-step explanation:

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3 years ago
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