MATHEMATICS MIDDLE SCHOOL

Which algebraic expression is equivalent to the expression below?5(4x + 3) + 5(9 - x)
A.
25x + 60
B.
15x + 60
C.
15x + 30
D.
15x - 60
help fast

Answers

Answer 1
Answer:

Answer:

  • 15x+60

Step-by-step explanation:

\sf 5(4x + 3) + 5(9 - x)

\sf 20x+15+5\left(9-x\right)

\sf 20x+15+45-5x

\sf 15x+60
Answer 2
Answer: Let's simplify step-by-step.5(4x+3)+5(9−x)Distribute:=(5)(4x)+(5)(3)+(5)(9)+(5)(−x)=20x+15+45+−5xCombine Like Terms:=20x+15+45+−5x=(20x+−5x)+(15+45)=15x+60

Answer is B

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fred buys a video game disk for 4 dollars. there was a discount of 20 percent. what is the sales price

Answers

4 - 20% is equal to 3.2 (You could've used a calculator.

a-plus auto body is painting desings on a customer's car. they had 18 pints of blue paint on hand. they used 1/2 of it for the flames, and 1/3 of it for the sparks. they needed 7 3/4 pints of blue paint to paint the next design. how many more pints of blue paint will they need?

Answers

The amount of more blue paint needed is 19 / 4 pints

They are painting a designs on a customer's car . They had 18 pints of blue paints on hand.

Amount used on flames = 1 / 2 pints

Amount used on spark = 1 / 3 pints

Therefore,

Total pints used:

  • 1 / 2 + 1 / 3 = 5 / 6

Therefore,

5 / 6 of 18 = 5  / 6 × 18 = 15 pints

Therefore, 15 pints of the paint has been used. The remaining pints of paint is 18 - 15 = 3 pints of paints.

They needed 7 3 / 4 pints of paints.

7 3 / 4 = 31 / 4 pints

Amount needed = 31 / 4  - 3 = 31 - 12/ 4 = 19 / 4 pints of paints

learn more algebra here: brainly.com/question/239042

4³/₄ pints

Further explanation

Given:

A-Plus auto body is painting desigs on a customer's car.

  • They had 18 pints of blue paint on hand.
  • They used (1)/(2) of it for the flames, and (1)/(3) of it for the sparks.
  • They needed 7(3)/(4) pints of blue paint to paint the next design.

Question:

How many more pints of blue paint will they need?

The Process:

From the denominators 2 and 3 above, we get LCM = 6.

Let us draw a diagram that contains all the pints.

18 \ pints / 6 \ units = 3 \rightarrow \boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3} = 18 \ pints

The flames: (1)/(2) or half of 6 unit above, that is \boxed{3}\boxed{3}\boxed{3} = 9 \ pints

The sparks: (1)/(3) = (2)/(6) or 2 of 6 unit above, that is \boxed{3}\boxed{3} = 6 \ pints

So, the remainder is 18 - 9 - 6 = 3 pints.

They needed 7(3)/(4) pints of blue paint to paint the next design.

Let us count how many more pints of blue paint will they need.

\boxed{7(3)/(4) - 3 = ?}

\boxed{= \bigg( 7 + (3)/(4) \bigg) - 3}

\boxed{= 7 - 3 + (3)/(4)}

\boxed{\boxed{ \ 4(3)/(4)}}

Thus, they4(3)/(4)pints more of blue paint.

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Keywords: A-Plus, auto body, painting, designs, on a customer's car, they had 18 pints, blue paint, 1/2, for the flames, 1/3, the sparks, they needed, 7³/₄, the next design, how many more, will they need

What is the value of p in the equation?

One-fourth (8 minus 4 p) + 2 p = 12

Answers

1/4(8-4p) + 2p = 12

Use distributive property by multiplying 1/4 by each term inside parentheses:

2 - p + 2p =12

Combine like terms:

2 + p = 12

Subtract 2 from both sides:

P = 10

P is equal to 10

How to get your answer:

So 1/4(8-4p) + 2p = 12

First you need to distributive by multiplying 1/4 to each term like this:

2 - p + 2p =12

Then you have to combine to terms just as I did below:

2 + p = 12

Then you need to subtract 2 from both sides to get 10 so:

P = 10

Tom bought a soft drink for two dollars and five candy bars. He spent a total of $22. How much did each candy bar class?

Answers

Answer:

c = $5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? Write an equation or inequality to describe this situation. *

Answers

Answer:

20

Step-by-step explanation:

let the number of rounds of golf played for the cost to equal be x.

-It costs $35/ round when the membership of $500 is paid, hence, total annual cost is:

500+35x

#When membership is not paid, the annual cost is expressed as:

55x

#Since the cost should be equal after x rounds, we equate the two to solve for x:

500+35x=55x\n\n500=20x\n\nx=25

Hence, Mr Bailey has to play 20 rounds of golf for the cost in both scenarios to be equal.

Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4​

Answers

Answer:

Step-by-step explanation:

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2x + 5y = 19

x - 2y = -4

Multiply the second equation by 2

2x - 4y = -8

Now we have:

2x + 5y = 19

2x - 4y = -8

Subtract the second eq from the first to get:

9y = 27

/ 9

y = 3

Now substitute this value into one of the first equations

x - 2(3) = -4

x - 6 = -4

x = 2

Thus, your answer would be option B

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