Please help me i am taking a test and i really need help

4r+8+5=-15-3r ANSWER NUMBER FORM NO WORDS AT ALL

wolverine [178]

Answer:

r = -4

Step-by-step explanation:

Step 1: Write out equation

4r + 8 + 5 = -15 - 3r

Step 2: Combine like terms

4r + 13 = -15 - 3r

Step 3: Add 3r to both sides

7r + 13 = -15

Step 4: Subtract 13 on both sides

7r = -28

Step 5: Divide both sides by 7

r = -4

7 0

3 years ago

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Three friends bought 4, 6, and 8 books. The table shows the cost of the books. What is the constant of proportionality? 2 7.5 15

Svetach [21]

Your anwser would be 8

6 0

3 years ago

Read 2 more answers

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.

Alchen [17]

Answer:

A. 3 possible combinations

B. 8 4-ounce's bags and 3 3-ounce's bags

C. 2 4-ounce's bags and 11 3-ounce's bags

D. 8 4-ounce's bags and 3 3-ounce's bags

E. All solutions offer the same revenue.

Step-by-step explanation:

You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then

$4x+3y=41.$

A. Find all integer solutions:

When x=0, then 3y=41 - impossible, because 41 is not divisible by 3.

When x=1, then 3y=37 - impossible, because 37 is not divisible by 3.

When x=2, then 3y=33, y=11 - possible.

When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.

When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.

When x=5, then 3y=21, y=7 - possible.

When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.

When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.

When x=8, then 3y=9, y=3 - possible.

When x=9, then 3y=5 - impossible, because 5 is not divisible by 3.

When x=10, then 3y=1 - impossible, because 1 is not divisible by 3.

You get 3 possible combinations.

B. 1. 2 + 11 = 13,

2. 5 + 7 = 12,

3. 8 + 3 = 11.

The minimal number of bags is 11.

C. 1. 2·7+11·5=69 cents

2. 5·7+7·5=70 cents

3. 8·7+3·5=71 cents

The cheapest is 1st solution.

D. 1. 2·6+11·5=67 cents

2. 5·6+7·5=65 cents

3. 8·6+3·5=63 cents

The cheapest is 3rd solution.

E. 1. 2·2+11·1.50=$20.50

2. 5·2+7·1.50=$20.50

3. 8·2+3·1.50=$20.50

All solutions offer the same revenue.

5 0

3 years ago

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream

Arada [10]

Correct question is;

1) Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

2) Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?

A) 0.15(40) + 0.6x = 0.25(40 + x)

B) 0.15(40) + 0.6(x – 40) = 0.25(x)

C) 0.15(40) + 0.6x = 0.25(40 – x)

D) 0.15(40) + 0.6(x + 40) = 0.25(x)

Answer:

1) Amount of cream = ¼cup

2) Option D: 0.15(40) + 0.6(x - 40) = 0.25x

Step-by-step explanation:

1) First of all, let x represent the amount of cup of milk and let y represent the of cup of cream.

We are told that the volume of the mixture is 1 cup.

Thus;

x + y = 1 - - - (eq 1)

We are now told that the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat

Thus, x contains 0.02 fat, y contains 0.18 fat and the 1 cup of mixture contains 0.06 fat.

Thus, we will multiply the respective terms in eq 1 by these %fat content.

Thus;

0.02x + 0.18y = 0.06(1)

0.02x + 0.18y = 0.06 - - - (eq 2)

From eq 1, let's make y the subject which is the amount of cup of cream.

Thus,

y = 1 - x

Let's put 1 - x for y in eq 2 to get;

0.02x + 0.18(1 - x) = 0.06

0.02x + 0.18 - 0.18x = 0.06

0.18x - 0.02x = 0.18 - 0.06

0.16x = 0.12

x = 0.12/0.16

x = 3/4 cup

From,y = 1 - x;

y = 1 - (3/4)

y = ¼ cup

Amount of cream = ¼cup

2) We are given;

15% of the pigment in paint color A is black.

60% of the pigment in paint color B is black.

We are now told that Alan unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.

If we assume the total amount of paint in the mixture is x like we are told, it means that based on the given data, we have a sum of;

0.15(40) + 0.6(x - 40)

Thus is because we know the amount of paint A used as 40 but don't know the amount of paint B used.

Now we are told that this sum produces a mixture that contains 25% black pigment. Since the total amount in the mixture is x. Thus, this final product is 0.25x.

Therefore to derive an equation to find the total amount of paint in the mixture of the two colors, we will equate the sum of the 2 Mixtures to the final product.

This gives;

0.15(40) + 0.6(x - 40) = 0.25x

8 0

3 years ago

The sum of two numbers is <br> 60<br> and the difference is <br> 10<br> . What are the numbers?

Furkat [3]

Answer:

35 and 25.

Step-by-step explanation:

x+y=60

x-y=10

Subtract eq1 by eq2

x-x+y-(-y) = 60-10

2y=50

y=25.

x+25=60

x=35

Hope this helps :D

#Team Rainbows

4 0

3 years ago