Can someone please help me with proofs

Answer: A

Step-by-step explanation:

The employee will receive a percentage raise after 16 years is $69,168

The first step is to calculate the percentage raise of the salary per year

= 2/100 × 52,400

= 0.02 × 52,400

= 1,048

The next step is to multiply 1,048 by the number of years

= 1048 × 16

= 16,768

The salary after 16 years can be calculated as follows

= 52,400 + 16,768

= 69,168

Hence the employee salary after 16 years is $69,168

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Answer:

Step-by-step explanation:

2/12 = 1/6

24 * 1/6 = 4

or

12/24 = 2/x

12 x = 48

x = 4

or the original width was twice the length

twice 2 is 4

Answer:

x = 1

Step-by-step explanation:

Answer:3i

Step-by-step explanation:

Answer:

The ratio of the contribution x:y:z is 6:8:11

Step-by-step explanation:

Firstly, we need to know the amount in which Z got

That will be 250,000-x-y

= 250,000- 60,000 - 110,000 = 80,000

So the ratio of the contribution in x:y:z will be;

60,000:110,000:80,000

= 6:11:8

Answer: 4.5 hours

Step-by-step explanation:

First you put 60000 and change 2.5 hours into minutes then divide by that, inwhich you get 400. After getting 400 divide 108000 by 400 which equals 270, divide by 60 for hours.

It would take the same pump 4.5 hours to empty a tank containing 108,000 gallons of water.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. An expression can also include mathematical functions, parentheses, and other symbols.

Let x be the amount of time (in hours) it takes the pump to empty a tank containing 108,000 gallons of water.

Using the direct variation formula, we can write:

time = k x capacity

Where k is the constant of variation.

We can use the given information to find k:

2.5 = k x 60000

k = 2.5 / 60000

k = 0.00004167

Now we can use this value of k to find x:

x = k x 108000

x = 4.5

Therefore, it would take the same pump 4.5 hours to empty a tank containing 108,000 gallons of water.

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Answer:

The answer is √40 = 6.32455532033676.

Step-by-step explanation:

To check that the answer is correct, use your calculator to confirm that 6.32 is about 40.

Answer:

6y - 48z + 42

Step-by-step explanation:

6 ( y - 8z + 7 )

= 6y - 48z + 42

Answer:

1,688 items

Step-by-step explanation:

So they had at total of 2,150 items at the start of the year. They had 400 sweatshirts, now they have 96(a decrease of 304), 650 T-shirts now they have 139(a decrease of 511), and 1100 notebooks to 227(a decrease of 873). They now have 462 items left. This means that they sold 1,688 items.

Hope this helps.

Answer:

4060

Step-by-step explanation:

because 8 percent of 32000 is 2560.

then you add 2560 and 1500 and you get 4060!

hope this helps!!

Answer:

A. TRUE

B. FALSE

C. TRUE

D. TRUE

Answer:

39 - 2i

Step-by-step explanation:

First, you need to FOIL the equation:

[tex](3 - 4i)(5 + 6i) \\15 + 18i - 20i - 24i^2\\15 - 2i - 24(-1)\\15 - 2i + 24\\39 - 2i\\[/tex]

Remember that [tex]i^2[/tex] equals -1.

Therefore, the answer to this question is 39 - 2i

I hope this helps!!

- Kay :)

Answer:

14

Step-by-step explanation:

EG is the full segment and is is stated that F is the midpoint which means it divides the full segment into two equal parts.

So the value of the full segment is given as 28 then the half of the segment, from E to F, would be 14.

Answer:

19

Step-by-step explanation:

3 (x + 6) = 5 (x - 4).

3x + 18 = 5x - 20.

38 = 2 x.

19 = x.

Answer:

19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

the litter costs $0.06 per ounce, since there is 16 ounces in a pound and 9 pounds meaning g there is 144 ounces 8.64 ÷ 144

Answer: |4x-2|=-6

Step-by-step explanation:

This has no solution

The equation that has no solution is | 4x - 2 | = -6.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

| -2x + 8 | = 0: This equation has only one solution, which is x = 4. When we take the absolute value of any number, the result is always non-negative (i.e., greater than or equal to zero).

Therefore, the absolute value of -2x + 8 can only be zero if -2x + 8 itself is zero. Solving for x, we get x = 4.

| 3x + 6 | = 6: This equation has two possible solutions, which are x = 0 and x = -4. When we take the absolute value of 3x + 6, the result can be either positive or negative, depending on the value of x.

Therefore, we need to solve two separate equations: 3x + 6 = 6 and 3x + 6 = -6. Solving for x in each case, we get x = 0 and x = -4.

| 4x - 2 | = -6: As I mentioned in my previous answer, this equation has no solutions.

An absolute value cannot be negative or equal to a negative number, so there is no value of x that would make the left-hand side of the equation equal to -6.

| -2 - x | = 9: This equation has two possible solutions, which are x = -11 and x = 7. When we take the absolute value of -2 - x, the result can be either positive or negative, depending on the value of x.

Therefore, we need to solve two separate equations: -2 - x = 9 and -2 - x = -9. Solving for x in each case, we get x = -11 and x = 7.

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9514 1404 393

Answer:

  pieces of candy = 16 × boxes of candy

Step-by-step explanation:

Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...

  pieces of candy = 16 × boxes of candy

__

If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...

  y = 16x

Answer:

18.9

Step-by-step explanation:

hope this helps

Slope = 1/5 = 0.2.

You're welcome

[tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups of flour will be used from new bag.

Flour required for lemon bread = [tex]4\frac{1}{2}[/tex] cups

Flour required for lemon bread = [tex]\frac{(4*2)+1}{2}[/tex]

Flour required for lemon bread = [tex]\frac{9}{2}[/tex] cups

Flour required for pumpkin bread = [tex]1\frac{1}{2} * \frac{9}{2}[/tex]

Flour required for pumpkin bread = [tex]\frac{(2*2)+1}{2}* \frac{9}{2}[/tex]

Flour required for pumpkin bread = [tex]\frac{5}{2}*\frac{9}{2}[/tex]

Flour required for pumpkin bread = [tex]\frac{45}{4}[/tex] cups

Now, the amount of flour Marvin already has = [tex]2\frac{1}{8}[/tex]

The amount of flour Marvin already has = [tex]\frac{(2*8)+1}{8}[/tex]

The amount of flour Marvin already has =[tex]\frac{17}{8}[/tex] cups

The amount of flour needed from new bag = [tex]\frac{45}{4}-\frac{17}{8}[/tex]

Taking LCM, we get 8

The amount of flour needed from new bag = [tex]\frac{(45*2)-17}{8}[/tex]

The amount of flour needed from new bag = [tex]\frac{90-17}{8}[/tex]

The amount of flour needed from new bag = [tex]\frac{73}{8}[/tex] cups

Hence, the amount of flour that will be used from new bag is [tex]\frac{73}{8}[/tex] cups or [tex]9\frac{1}{8}[/tex] cups or 9.125 cups.

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Answer:

Slope is 6/5

Step-by-step explanation:

slope=y2-y1/x2-x1

so (5-(-1))/(3-(-2))

(5+1)/(3+2)

6/5

slope is m

y=mx+b

y=6/5x+b

Answer:

[tex]m=\frac{6}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point A (-2, -1)

Point D (3, 5)

Step 2: Find slope m

Answer:

0.4 km

Step-by-step explanation:

1.6/4 = 0.4

Answer: .4 kilo.

Explanation: A team of four runs a total of 1.6 kilo, Garrett included in that. Divide 1.6 by 4 to get .4. 0.4 kilometers.

Answer:

There was 60% discount on the cow.

Step-by-step explanation:

Discount can be calculated by dividing the latest price by the original price and multiplying by 100.

Thus,

percentage discount = 15/25 × 100

                                   = 0.6 × 100

                                    = 60%

Thus, there was 60% discount on the cow.