How do I solve a problem like -8(n+3)+28=-5n-5

Answers

Answer 1
Answer: -8(n+3)+28=-5n-5

-8n-24+28=-5n-5

-8n+4=-5n-5

-8n+4-4=-5n-5-4

-8n=-5n-9

-8n+5n=-5n+5n-9

-3n=-9

-3n/-3=-9/-3

n=3

n=3 is the correct answer


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A $20,000 deposit was placed in a bank paying 5.75% interest compounded quarterly. After 12 months, how much interest was earned.

Answers

After 1 year, the bank paid (5.75/4) percent, 4 times.

The value of the investment is (20,000) times (1 + 0.0575/4) to the 4th power.

(1 + 0.0575/4) = 1.014375

That number to the 4th power is 1.05875... (rounded)

The interest alone is (20,000) times (0.05875...) =  $1,175.04
P = 20,000 \n R = 5.75 \n T = 1 \n I = (PRT)/(100) \n = (20000 * 5.75*1)/(100) \n = 115000/100 \n = 1150 $

Find three consecutive odd integers such that the sum of the smallest and four times the largest is 61. Please list the numbers from least to greatest with just a space in between

Answers

Answer:

9,11,13

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be x,x+2,x+4.

According to question,

x+4(x+4)=61\nx+4x+16=61\n5x=61-16\n5x=45\nx=9

So, the integers are x=9,x+2=9+2=11,x+4=9+4=13

Numbers from least to the greatest: 9,11,13

Which expression is equivalent to 6(3x + 4)?1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4

Answers

Answer:

2. 18x + 24

Step-by-step explanation:

Distribute the 6 to create 18x + 24

18x+24
Multiple 6 to both 3x and 4.

Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters. What is the length of Judy's patio?

Answers

Perimeter of rectangle = 2(length) +2(width)

2(l) + 2(9) = 40
2(l) + 18 = 40
2(l) = 22
l = 11

Hope I helped!

Alicia is a nurse.In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.

Answers

Final answer:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked.

Explanation:

To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked. In 2016, Alicia earned £1750 per month, so her annual salary would be £1750 x 12 = £21,000.

In 2017, she received a 2% pay increase, which means her monthly salary would be £1750 + 2% of £1750 = £1750 + (£1750 x 0.02) = £1750 + £35 = £1785.

Since Alicia worked 45 hours per week for 48 weeks in 2017, her total number of hours worked for the year would be 45 hours/week x 48 weeks = 2,160 hours. Now, we can calculate her average pay per hour by dividing her total earnings (£1785 x 12) by the total number of hours worked (2,160): £1785 x 12 / 2,160 = £10 per hour.

Learn more about Calculating average pay per hour here:

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AnswerAverage pay per hour 19.15

Step-by-step explanation:

1750 + 2% = 1785 pay increase

1785 x 12 months = 21420 a year

21420 divided by 52 weeks in a year averages to 411.92 weekly

Divide 411.92 by the 45 hours of work is 19.15 per hour

Brainliest please, if correct.

What is the loss percentage incurred by a company when it buys an asset for rs. 1,50,000 and sells it for rs. 75,500?

Answers

The loss percentagea company incurs when buying an asset for rs. 1,50,000 and selling it for rs. 75,500 is 49.7%.

The loss percentage is calculated by subtracting the selling price from thepurchase price , then dividing that result by the purchase price, and finally multiplying by 100 to get the percentage format. In this case, it's a business scenario involving the purchase and sale of an asset, so the formula is appropriate

You can use it as follows:

Loss% = [(1,50,000 - 75,500) / 1,50,000] * 100

When you calculate the expression in the square brackets you get 0.497, or 49.7%.

So, in the provided scenario, the company incurred a loss percentage of 49.7%.

This means that the company lost nearly half of the initial value of the asset when they sold it.

Learn more about the topic of Loss Percentage here:

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Answer:

percentage incurred  [(75,500-150,000)/150000]*100=49,666=49,6%

Step-by-step explanation: