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julia-pushkina [17]
2 years ago
11

9. Simplify the expression: 4a + 8 - 2a – 4 + 7b.

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

2a + 7b + 4

Step-by-step explanation:

4a + 8 - 2a - 4 + 7b

<u><em>Group like terms</em></u>

4a - 2a + 7b + 8 - 4

<u><em>Add similar elements (4a - 2a)</em></u>

2a + 7b + 8 - 4

<u><em>Add/Subtract (8 - 4)</em></u>

2a + 7b + 4

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9(5x + 1) ÷ 3y
Vsevolod [243]

Answer:

Step-by-step explanation:

5x + 1 is a SUM.

3y is a TERM.

9(5x + 1) is a PRODUCT.

9 is a FACTOR of 9(5x + 1).

5x + 1

---------- is a QUOTIENT.

  3y

5 is the COEFFICIENT of x.

8 0
3 years ago
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Marsha orders a secret menu item and gives the cashier $20 to pay for 3 large pretzels The cashier gives her $5.03 in change. Ea
vredina [299]

Answer:

Each pretzel is $4.99

Step-by-step explanation:

20 - 5.03 = 3x

14.97 = 3x

4.99 = x

4 0
3 years ago
Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

T = E + P

4P = E + P

E = 3P

Now we find the time.

E = P*0.04*t

3P = P*0.04*t

0.04t = 3

t = \frac{3}{0.04}

t = 75

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7 0
2 years ago
Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b
Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

  • $18

What question is being asked in this word problem?

  • what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

  • $42

How much money does Jill have left?

  • without considering sales tax, Jill has $90 - $31 = $59 left.
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How much does the T-shirt normally cost?

  • $18 (same as question 1)

What is the amount Jill pays in sales tax?

  • since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

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7 0
3 years ago
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Firlakuza [10]

Answer: 8 pints

Step-by-step explanation:

Multiply the volume value by 2, so, 4 quarts = 8 pints

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