Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.

1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

Step 1: Use the distributive property to remove the parentheses. (2 points)


Step 2: Collect any like terms on both sides of the equation. (2 points)


Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)

Answers

Answer 1

Answer:

x=-3

Step-by-step explanation:

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

(remove parentheses)

5x-20+3x-9x=6-2x-5+8x

(collect like terms and calculate)

-x-20=1+6x

(move the terms)

-x-6x=1+20

(collect like terms and calculate)

-7x=21

(divide both sides)

x=-3

(your answer :))


Related Questions

What is the slopeWhat is the slope of this
linear equation:
2x+3y= -4x+9 of this linear equation: 2x+3y= -4x+9

Answers

Answer:

Slope = -2

Step-by-step explanation:

Equation in slope intercept form:

y = -2x + 3

Meaning slope equals -2

The five young women who live in the houses shown on the plan below are currently at the salon, having their hair styled. Where does each woman live, and what is the color of her hair?

Clues:

1. The young woman with blonde hair lives next to and south of Arianna, who lives directly east of LaDonna.

2. Sara lives next to and south of Martha.

3. One of the five lives directly east of Joi, who lives farther north than the woman with silver hair.

4. The young woman with purple hair lives next to and north of the woman with black hair.

Answers

Answer:

Sara lives next to south of Maratha and has black hairs.

One women lives at the east of joi has purple hairs.

One women who has silver hairs lives in Moldova which is north to Joi.

The young women with blond hairs lobe to south of Arianna.

Step-by-step explanation:

There are five women who are at the salon for their hair care services. All of the women have different colored hairs. The women with blonde hairs live in Arianna which is south wast to the women who lives in Joi. The women who lives in Joi has purple hairs.

Divide: 3/8 ÷ 5/12 = ?

Answers

flip 5/12 to be 12/5 to make this equation multiplication

3/8*12/5 = 36/40 = 18/20 = 9/10

The solution of expression is,

⇒ 9 / 10

We have to given that;

To Divide,

⇒ 3/8 ÷ 5/12

Now, We can divide the numbers as;

⇒ 3/8 ÷ 5/12

⇒ 3/8 × 12/5

⇒ 36 / 40

⇒ 18/20

⇒ 9 / 10

Thus, The solution of expression is,

⇒ 9 / 10

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Answers

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

A mug is 3/7 full. The mug contains 1/2 cup of water. Find the capacity of the mug

Answers

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Capacity

Given:

Quantity of the mug = 1/2 cup

let

x = full capacity of the mug

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

divide both sides by 3/7

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

Learn more about fraction:

https://brainly.com/question/2929160

Mental math what is 90 x 20

Answers

Answer:

1800

Step-by-step explanation:

90*20=1800 because 9*2=18 add two zeroes and ur done

Hope this helps

Answer:

1,800

Step-by-step explanation:

90 x 20

9 x 2=18

18+00

1,800

Plz give Brainiest

What do you know about the slope of two parallel lines? *
They have the opposite sign of each other
They are reciprocals of each other
They have the same slope
They have negative reciprocal slopes

Answers

Answer:

same slope

Step-by-step explanation:

if it has the same slope then the you will know the two lines are parallel

hope this helps

brainliest?

The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25

Answers

Answer:

B C A

Step-by-step explanation:

A submarine is diving to a total depth of 57 feet. It descends 10% of the total depth in 1 minute. How deep will the submarine be after 2 minutes?

Answers

Answer:

11.4

Step-by-step explanation:

10% of 57 is 5.7

5.7 in 1 min

5.7*2 for 2 min

you get 11.4

Hooray! You solved the problem!

Answer:

It's 11.4 Feet

Step-by-step explanation:

If it takes the sub 1 minute to go down 10% of 57 feet, then another minute will be another 10%. So 10% = 5.7 feet, and 10% + 10% = 11.4 feet.

Given the following equations of lines, are the lines Parallel, Perpendicular or Neither? y = 5x -2 and y = 5x + 4 *

Answers

Answer:parallel

Step-by-step explanation:

ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?

Answers

Answer:

11.400 dollars... is the answer

Answer:

$5400

Step-by-step explanation:

9 x 600 = 5400

2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.

Answers

Alternatively, the gcf of 12 and 56 can be found using the prime factorization of 12 and 56:

The prime factorization of 12 is: 2 x 2 x 3.

The prime factorization of 56 is: 2 x 2 x 2 x 7.

The prime factors and multiplicities 12 and 56 have in common are: 2 x 2.

2 x 2 is the gcf of 12 and 56.

gcf(12,56) = 4.

please I need help!!!​

Answers

Answer:

Equation is P=4s

Step-by-step explanation:

There is a pattern here:

8 is 4 times as much as 2

12 is 4 times as much as 3

20 is 4 times as much as 5

40 is 4 times as much as 10

Since P varies directly with s, we can make an equation: P=4s where k=4 in the form of y=kx

Use the information to find the minimum sample size required to estimate an unknown population mean µ. Margin of error: $110, confidence level: 95%, σ = $500. Group of answer choices

Answers

Answer:

The minimum sample size required is 79.

Step-by-step explanation:

The following are given in the question:

e = Margin of error = 110

σ = Standard deviation = 500

Confidence level = 95%

n = Minimum sample size = ?

Therefore, we have:

Zσ = 1.96 at 95% confidence level

s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /

Alternatively, margin of error can be calculated as follows:

e = s.e. * Zσ = 110 ................... (1)

Substituting the other values into equation (1) and solve for n, we have:

500 / [tex]\sqrt{n}[/tex] * 1.96 = 110

500 / [tex]\sqrt{n}[/tex]  = 110 / 1.96

500 / [tex]\sqrt{n}[/tex]  = 56.1224489795918

500 = 56.1224489795918 *  [tex]\sqrt{n}[/tex]  

[tex]\sqrt{n}[/tex]  = 500 / 56.1224489795918

[tex]\sqrt{n}[/tex]  = 8.90909090909092

[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092

Squaring both sides, we have:

([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2

n = 79.3719008264465

Approximating to a whole number, we have:

n = 79

Therefore, the minimum sample size required is 79.

NEED HELP WITH MATH! Will Give Brainliest! Image is below.

Answers

Answer:

#2

Even though the graph dips down, x is still increasing, and y will increase as will .

As x is decreasing, y is also decreasing.

PLEASE HELP!!!!AND FAST NOT TO RUSH BUT AS SOO.N AS POSSIBLE

Answers

Answer:

I really hope this helps :), 68

if there are 5 fish and 1 of the dies how many are left ​

Answers

There are 4 living fish, but unless the dead one was taken from the tank, there are still 5 fish in the tank.


(5/9)^2
Order of operation

Answers

Answer:

Use PEMDAS.

Parenthesis.

(5 times 9) That's 45.

Exponents.

45^2

45x45

2025

The answer is 2025.

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d=1620

Step-by-step explanation:

110d=1620

divide by 110 on each side

d=14.2727272727

so about 14 more diamonds need to be collected to move onto the next level

A line has a slope of 9 what is the slope of a line it is perpendicular to this line? *

9
-9
1/9
-1/9

Answers

Answer: -1/9

Explanation: Perpendicular lines have negative reciprocal slopes.

A negative reciprocal slope is a fancy way of

saying flip the fraction and change the sign.

Notice that our slope is an integer.

We can turn it into a fraction by putting it over 1.

So we have 9/1.

A line perpendicular to this would be a negative reciprocal.

So flip the fraction, giving us 1/9, and change the sign to get -1/9.

Please help

Which of these triangles is NOT possible?

Answers

Answer:

B

Step-by-step explanation:

The sides must be greater than 13 for a triangle to even exist

Answer:

B

Step-by-step explanation:

I Just took the test

What is f(3)?
o 9
0 -1
O 1
O 9

Answers

Answer:

C.

Step-by-step explanation:

f(3) is referring to 3 on the left side and it is beside 1 which is on the left so it's 1.

I need help like serious help​

Answers

Answer:

AB is equal to AD because if you move from A to B, you would have to go 3 points toward the B, and then move one point toward B. Same for D. You must move 3 points toward D, then move one down.

Step-by-step explanation:

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Slope= -3/1

plot from point  (-2,4)

Answer:

Step-by-step explanation:

Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.

cos(0.1309 H) = -0.4336 tan (40o 46 minutes)  I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.

cos(0.1309 H) = -0.4336 tan (40 46/60  )

cos(0.1309 H) = -0.4336 tan (40.766666667)

cos(0.1309 H) = -0.4336 * -0.074173405

cos(0.1309 H) = 0.032161588

0.1309 H = cos-1(0.032161588)

0.1309 H =  1.538629191

H = 1.538629191 / 0.1309

H = 11.754 which is no where near 15 hours, but it is what the numbers give.

I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.

The other two cities should come to something near  this answer.  

An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your answer in kilograms.​

Answers

Answer:

1.575 kg

Step-by-step explanation:

75g x 21

1575 g

convert to kg

1.575 kg

Brainliest Appreciated!

GOD PLEASE HELP ME!!!!!!ITS DUE IN 10 MINUTES

Answers

You can get 3 scoops of sand. You convert 2/5 —> 8/20 then you convert 1/4 —> 5/20. You subtract 8/20 - 5/20 = 3/20 so there are 3 scoops left.

Maria incorrectly placed the decimal
point when she wrote 0.65 inch for the
width of her tablet computer. What is the
correct decimal number for the width?

Answers

Answer: 6.5 inches

Step-by-step explanation:

this measurement makes the most sense for the width of a tablet computer

Anita is baking dinner rolls and pumpkin bread. She needs 4 cups of flour for the rolls. She needs at least 7 cups of flour left for the pumpkin bread. Write
and solve an inequality to determine how much flour Anita needs before she
starts baking.

Answers

Answer:

x-4>=7

Step-by-step explanation:

x- how much flour needed at the start

x-4 used for rolls

(4.3 x 10^-3)(2 x 10^-2) in standard form

Answers

Answer:

8.6•10^-5 or 0.000086

PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!

Answers

the answer should be the second one
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