-7(3x)+2(3x-2) How do you simplify this and what is the answer.Im stumped

Answers

Answer 1
Answer:

Answer:

-21x + 6x - 4

Step-by-step explanation:

First, distributive property.

-7(3x) = -21x

2(3x-2) = 6x - 4

Secondly, put those together.

-21x + 6x - 4

And that is your answer because you don't need to find the sum or x.


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In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and $18 per hour washing cars. You need to earn at least $600 during the month of November.1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking. 2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars. 3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November. 4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print.. 5.Use the graph and algebraic model to answer the following: a.Why does the graph exist only in the first quadrant? b.Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph? c.Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph? d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print.. 6.How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model . 7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use? 8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?
Need help in question number 23 ONLY pleaseee!!

Factor the given expression. 64^3-343

Answers

Your answer is 261201

63³-343 = 261801

Factor the following integer:

261'801

The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.

261801 = 9×29089:

261801 = 9×29089

9 = 3^2:

261801 = 3^2×29089

Because 29089 is odd, only test odd numbers for divisibility.

29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.

29089 = 19×1531 which means 29089 is divisible by 19:

261801 = 3^2×19×1531

3 is prime:

261801 = 3^2×19×1531

Because 19 is odd, only test odd numbers for divisibility.

19 is not divisible by 3.

Since 19 is not divisible by any integer up to 4, it is prime:

261801 = 3^2×19×1531

Because 1531 is odd, only test odd numbers for divisibility.

1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.

Since 1531 is not divisible by any integer up to 39, it is prime:

261801 = 3^2×19×1531

There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:

Answer: 261801 = 3^2×19×1531


A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?O y=-4x+8
O y=-2x + 6
O y=-*x+2
O y=2x + 2

Answers

Answer:

None of the answers is correct based on the points given

Step-by-step explanation:

1. Use the slope formula (see image)

(4-4)/(3-1) = 0

Based on the points given the slope is actually undefined.

Answer:

y = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y_(2)-y_(1)  )/(x_(2)-x_(1)  )

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (3, 4)

m = (4-4)/(3-1) = (0)/(2) = 0

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (1, 4) and (3, 4) with y- coordinates of 4, thus

y = 4 ← equation of line

Alana bought 3/8pound of Swiss cheese and 1/4 pounds of American cheese.which pairs of fractions are equivalent to the amounts Alana bought?

Answers

is it any fraction? if so 6/16 and 2/8 are equivalent

1 ) what is 175 % of 85? 2 ) 76 is 80 % of what number?

3 ) 96 is 160 % of what number?

4 ) what is 85 % of 120?

5 ) 56 is 75 % of what number?

Answers

well if 100% of 85 is 85, the answer is going to be more than that. the multiplication is 175 x 85 =14875 /100 = 148.75.
1) if 100% of 85 is 85;
 2) What is the remaining 75%  85 x 3/4 => 85 x3=255 => 255/4 =>63.75
therefore 175% => 85 + 63.75 = 148.75.

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?The answer should be formatted like this:

The length of the other leg is __ in
The measures of the acute angles are : __ and __

Answers

General Idea:

By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.

Given:

a= 4 \; in\n\nc=8\; in\n\na^2+b^2=c^2\n\n4^2+b^2=8^2\n16+b^2=64\nSubtracting \; 16 \; on \; both \; sides\n\nb^2=64-16\nb^2=48\nTake \; square \; root \; on \; both \; sides\n\nb= √(48) = √(16 * 3) = √(16) * √(3) = 4 √(3) inches

We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).

The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.

Conclusion:

The length of the other leg is 4√3 in

The measures of the acute angles are : 30° and 60°


The length of the other leg is 6.9 inches.The measure of each acute angle is 45 degrees.

Dr. florenz needs 25 grams of salt for each student to do an experiment. she has 1.2 kilograms of salt on hand. she has a total of 128 students. how much more salt does she need?

Answers

First we solve for how much Dr. Florenz needs in total. So:
128 students * 25 grams = 3200 grams
Then we know that she has 1.2 kg or 1200 g (convert from kg into g)
Now, since she needs 3200, we subtract 3200-1200 to find how much she doesn't have, how much she needs. 
The answer is 2000 g or 2 kg