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

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answers

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

What is the answer to thus ...?

Answers

(10/7)/(3/7) can be KCF method into (10/7)•(7/3)= 3.33 or 10/3

I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves​

Answers

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment

Answers

Answer:

Step-by-step explanation:

From the information given;

We are to take a look at a 2⁵ factorial design.

The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.

An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.

Thus, there are five factors and 2 levels in the experiment.

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN

Answers

Answer It’s the last choice

Can someone plz plz help me with the last 2 problems #5 and #6

Answers

i believe your answers would be

1/2c+7 and 2H-9

the missing number in the series?
4, 18, ?, 100, 180, 294, 448
A) 48
B) 50
C) 58
D) 60

Answers

A)48

Explanation:

2^3 - 2^2 = 8 - 4 = 4
3^3 - 3^2 = 27 - 9 = 18
4^3 - 4^2 = 64 - 16 = 48
5^3 - 5^2 = 125 - 25 = 100
6^3 - 6^2 = 216 - 36 = 180
7^3 - 7^2 = 343 - 49 = 294
8^3 - 8^2 = 512 - 64 = 448

A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?

Answers

Answer:

The snake would equal 160cm.

Step-by-step explanation:

Correct me if im wrong plz

55 points and Brainliest!

Answers

I believe it's a 45 degree angle

Answer:

Um

Step-by-step explanation:

f(x) = -x^2+10x-6
Find f(-5)

Answers

9514 1404 393

Answer:

  f(-5) = -81

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  f(-5) = -(-5)^2 +10(-5) -6

  f(-5) = -25 -50 -6

  f(-5) = -81

Answer:

-81

Step-by-step explanation:

The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?

Answers

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

if x=2+ root 3 then find the value of (x-1/x)^3​

HELP ASAP

Answers

Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

Choose the best explanation that describes in words what the numerical value of the slope tells you.

a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Answers

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

1
6 + 10 ÷ 2 − 32 = ?

A.
2
B.
1
C.
0
D.
−1
E.
−2

Answers

Answer:

b

Step-by-step explanation:

its b

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP

Answers

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

Review the graph.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).

Suppose z3 = z1 – z2.Which quadrant contains z3?

quadrant I
quadrant II
quadrant III
quadrant IV

Answers

The position of z3 is (d) quadrant IV

The given parameters are:

[tex]\mathbf{z_1 = (4,-3)}[/tex]

[tex]\mathbf{z_2 = (-3,2)}[/tex]

The expression for z3 is given as:

[tex]\mathbf{z_3 = z_1 -z_2}[/tex]

So, we have:

[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]

This gives

[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]

[tex]\mathbf{z_3 = (7,-5)}[/tex]

When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.

Hence, the position of z3 is (d) quadrant IV

Read more about quadrants at:

https://brainly.com/question/20226319

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?

Answers

It travels 3637474848362.626 miles a second.

AsKevin Selma madelyn Louis

Answers

very cool yes yes yes

How many proportional relationships are shown in the coordinate plane below? Please answer quick i will give 35 points

Answers

Answer:

its not zero i check and got in incorrect the correct answer is 1

Step-by-step explanation:

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

----------------------------------------------------------------------------------------------------------------

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250

Answers

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b

Answers

Answer:

Someone text me on sc queenalyssa_05

Step-by-step explanation:

Answer:5

Step-by-step explanation:

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

Jill runs 3/4 of a mile, and
Amy runs 2/3 of a mile.
How far did Jill and Amy
run combined?

Answers

Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

Find the value of x and measure of ∠3
∠3=2x+7
∠6=6x+21

Answers

Answer:

the answer is four

Step-by-step explanation:

A stack of books is 62 inches high. How high is it in feet and inches?

Answers

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per person. How many people need to be in a group to save $500?

Answers

Answer:  20 people

=========================================

Explanation:

x = number of people

Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.

Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

------------

If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.

Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work

Answers

Answer:

Angle=79°

Step-by-step explanation:

Hope it helps!

Other Questions
Sensory System Knowledge Check1. Which two senses are forms of chemoreception? Complete the conversation with the appropriate interrogative expressions.**Suggestions: comment, o, pourquoi, quand, combien de...MODELE:SABINE: Comment est la chambre?JULIEN: La chambre est trs agrable.Please help?! Aanya wrote the four equations that are shown below.A6 x minus 8 = 4 (x minus 2) + 2 xB3 (x minus 1) + 2 x = 3 (x minus 1) + 2C7 x + 2 minus x = 6 (x + 2)D4 (x + 3) + x = 5 (x + 1) + 7She examined them, without solving them, to determine which has exactly one solution. Which of Aanyas equations has exactly one solution?6 x minus 8 = 4 (x minus 2) + 2 x3 (x minus 1) + 2 x = 3 (x minus 1) + 27 x + 2 minus x = 6 (x + 2)4 (x + 3) + x = 5 (x + 1) + 7 If an animal is placed into a sealed container for a short time, the oxygen level willA. decrease and the carbon dioxide level will increase.B. decrease and the carbon dioxide level will decrease,C, increase and the carbon dioxide level will increase.D. decrease and the carbon dioxide level will stay the same.E increase and the carbon dioxide level will decrease. Next to the statements below, select R if it is restrictive, or NR if it is nonrestrictive.The cheetah, a natural predator, is very fast. Choose... The monkey with the long tail stole my banana. Choose... The boy in the plastic bubble is allergic to dust. Choose... The girl, the one with the brown hair, loves football. Choose... Given m||n, find the value of x. Kyle invested $ 500 and received $ 650 after three years. What had been the interest rate? I WILL GIVE YOU BRAINLIESTWhat is a key theme of "Rules of the Game"?Children and parents can come into conflict over who has power and control in their relationship.Parents pass along their hope and optimism for the future to their children.Luck and success are closely tied to one another.The relationship between mothers and daughters is the ultimate expression of generosity and caring.Question 2Part BWhat is one way that events in the story develop the theme identified in Part A?Waverly's mother scolds her daughter for demanding salted plums, but later she buys a bag for her daughter.Waverly receives a heavy package of Life Savers at the Christmas party.Waverly is featured in a story about chess in Life Magazine.Waverly's family lives in a clean, two-bedroom apartment above a small Chinese bakery. Determine the average speed of an object that travels 200 miles in 4 hours. A person has a mass of 1000g and an acceleration of 20 m/s/s. What is the force on the person Guide QuestionsThe Last Dog1.Before the story begins, Brock has wandered into many "ancient fictions. Describethese "ancient fictions.2. Describe the dome where Brock lives.3. A proverb in Brock's world is The key to survival is efficiency. 4. Give an exampleof something that happens in Brock's world that illustrates this proverb.5. How was Brock raised as a child?6. Which event takes place before Brock meets the dog?7. What is the puppy doing when Brock first finds it? 8. Describe the people in Brocks world as to their behavior and feelings. 9. How does meeting the dog change Brock? How does this meeting change both his personality and his future? 10. Why does Brock bite brog on the tail? 11. Find the meaning of the following words: foresighted, evasive, languishing, disembodied,foray,reproof, copious, posterity. 12. What is the last thing Brock does in the story? If 2^a = 32 and a^b = 625, find a+b. help awnser attach the awnser using image 2. Iphone 11Iphone 11, il cote combien ?A: Euros:B: Dollars : 348 g of water starting at 4.0Celsius is heated until his temperature is 37Celsius. Calculate the amount of heat energy needed to cause this rise in temperatureSTEP BY STEP EXPLANATION!! Which two authors are connected with the New Journalism movement? What is the volume of a substance that has a mass of 59 g and a density of 1.98 g/mL?(show all work) Describe, in detail, two reasons why the American colonists resisted British laws and taxation. Then describe, in detail, three ways in which they resisted or rebelled. Given parallelogram ABCD, the measure of angle C In both the United States and France, the demand for haircuts is given by QD=30010P . However, in the United States, the supply is given by QS=300+20P , while in France, the supply is given by QS=33.33+6.67P . Required:a. What are the equilibrium prices and quantities of haircuts in the two countries? b. What are the new equilibrium prices and quantities of haircuts in the two countries?