Which property justifies the fact that 5(x-2) is equivalent to 5x-10

Answers

Answer 1

The distributive property of multiplication over addition allows you do write that equivalence.

Answer 2

The distributive property

Related Questions

The area of a trapezoid is 144 ft squared. If the height is 8 ft and one of the bases is 12 ft, what is the length of the other base?
A. 7.2 ft
B. 14.4 ft
C. 24 ft
D. 16 ft

Answers

144 = (12 +x)/2 * 8

144 = (12+x)* 4

36 = 12 +x

x = 36-12

x =24

Answer is C

Graph the function y=x+8 ?

Answers

Hope I helped!

Let me know if you need anything else!

~ Zoe

Joel is looking at costs for using a gym. He could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit. How many visits would he have to make each month to make the $50 per month unlimited use option the cheapest one?

Answers

[tex]y = 4x + 12[/tex]
Joel would have to go at least 10 times per month to make the 50 dollars per month the cheapest one.

Answer:

First choice is cheaper.

Step-by-step explanation:

Joel could pay $50 per month for unlimited use or he could pay $12 per month plus $4 per visit.

Let the monthly visits be x

We can define this as :

[tex]12+4x> 50[/tex]

[tex]4x >50-12[/tex]

[tex]4x >38[/tex]

[tex]x> 9.5[/tex]

So, x can be greater than 9.5 means 10.

[tex]4(10)+12>50[/tex]

[tex]52 > 50[/tex]

Comparing both we can say that the first choice is cheaper.

Help with 3 and show all work

Answers

x<=50.

< is less than
> is greater than

Without him paying the extra fee is <=50
x is pounds.
Now, you have x<=50.

Hope this helped☺☺

Hi there!

The answer should be x<=50, or x is less than or equal to 50.

Your previous answer was almost correct, but the inequality actually has a less than or equal to sign since Michael could still be at exactly 50 pounds without having to pay extra. The charge only applies when the weight is more than 50 pounds.

Hope this helps!

Gene has a gasoline budget of $275 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?

Answers

Final answer:

The equation to represent how much money is left in Gene's gasoline budget after driving for x days is y = 275 - 7x, where x is the number of days Gene drives and y is the money left in the budget.

Explanation:

The equation representing how much money is left in Gene's gasoline budget after driving for x days can be expressed as y = 275 - 7x. Here, 275 represents the monthly gasoline budget, 7 is the cost of gasoline each day, and x is the number of days. If we plot y against x, we can visualize how Gene's monthly gasoline budget decreases by $7 for each day he drives.

This equation is a simple example of a linear equation, which describes a straight line in a coordinate system. The variable x is the independent variable (number of days driven) and y is the dependent variable (money left in the budget). The slope of the line (-7) represents the rate at which the budget decreases each day.

Learn more about linear equation here:

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S = √3*73.5 /4.5=7 (Khufu’s pyramid)

The volume of Khafre’s pyramid is about 9/10 the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?

This goes with the other questions! if you need information i can get that for you!
Also, could you work it out!

Answers

3/6 should b you answer answer

Final answer:

The volume will be of 6.3 for the second model.

Explanation:

The student is asked to calculate the volume of the second model pyramid, Khafre's pyramid, which is 9/10 the volume of the first model, Khufu's pyramid. The student has already calculated that, for Khufu's pyramid, S = √3*73.5/4.5=7. To find the volume Kristina should make the second model, we simply multiply the volume of the first model by 9/10.

Although the question does not provide the exact volume of the first model, we will assume the value of S given is the volume of Khufu's pyramid model. Therefore, the volume of Khafre's pyramid model should be 7 * (9/10) = 6.3.

This result is based on the proportion given between the two pyramids' volumes and is a straightforward calculation of this proportion.

His train has been running for 2 1/2 Days straight at a constant speed of 4.8 mph. How far has he traveled?

Answers

288 miles in 60 hours

Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.

Answers

Asked and answered elsewhere.
https://brainly.com/question/9153852

Congruency means that two figures or items are exactly the same size and shape. Where in life would it be vitally important for two or more items to be congruent?

Answers

money and the wheels of a car

I agree with Awesome5864. Wheels should be congruent...You need at least 2 of the same size and shape because if you dont the car is going to have one side taller than the other one.
Hope this helps!
Brainliest? Please?

Please help!! Due soon

Answers

Answer: 24 cm

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

Explanation:

Let
P = area of triangle ABC
Q = area of triangle ACD

The two areas mentioned above are in ratio 1.5:1 which basically means
P = 1.5*k
Q = 1*k
for some value k
Notice how P/Q = (1.5k)/(1k) = 1.5 which proves that P:Q = 1.5:1

We can find the value of k by determining the area of triangle ABC
P = area of triangle ABC
P = (base)*(height)/2
P = 36*10/2
P = 360/2
P = 180

If P = 180, then
P = 1.5*k
1.5*k = 180
k = 180/1.5
k = 120

Telling us that
Q = 1*k
Q = 1*120
Q = 120
Q = area of triangle ACD
area of triangle ACD = 120
note how P/Q = 180/120 = 1.5 so P:Q = 1.5:1

We'll use this area to find the base of triangle ACD which is AD

Area of Triangle ACD = (base)*(height)/2
120 = AD*10/2
120*2 = AD*10
240 = AD*10
240/10 = AD
24 = AD
AD = 24

Alison is currently three times as old as Mike. 5 years ago, Alison was eight times as old as Mike. How old is Alison now?

Answers

21 because first of all let’s start with the fact that 5 years ago a was 8m. Let’s substitute 1 for m if m was one, a would be 8 (five years ago) both add 5, but 13 would not be 3 times older than 6. Let’s then substitute m for 2. Then a would be 16 because 8*2 equals 16. Both add 5 and you get 21 and 7. 21 is 3 time more than 7.

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Answers

You can use feet or inches because they are both on the diagram and they are both a part of the same measuring system. If you use inches, you would be using larger numbers, but if you used feet, you would be using fractions.

Natalie worked during the summer for 12 weeks at an amusement park. She earned a salary and put 30% of her earnings into savings. At the end of the summer, her savings were a total of $486. How much was she paid every month (4 weeks)? Help please

Answers

486/3=162
162/3=54
54x10=540

$540 every 4 weeks

everyday on her way home from school, Minnie usea $1 to buy a bag of chips. The bag cost $0.75, and she saves the remaining quarter in her change jar. Minnie buys 5 bags of chips per week. At this rate, how long will it take her to save $10.00

Answers

If she saves $1.25 a week ,divide it by 10 and you get 8 weeks. It would take her 8 weeks to save $10.00 hope this helped :)

A probability experiment is conducted wich of these can not be considered a probability of an outcome: a) 0.222 b) 8.2% c) 0.0234 d) 122.96% e) 5/3 f) 0.45%

Answers

Probability can only range from 0 to 1 and d) 122.96% and e) 5/3 is bigger than 1 so the answer would be d and e.

122.96% and 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. Correct option is d and e.

In probability, the probability of an outcome must be a value between 0 and 1, inclusive. Therefore, any value less than 0 or greater than 1 cannot be considered a probability of an outcome.

Let's check each option:

a) 0.222 - This is a valid probability since it is between 0 and 1.

b) 8.2% - This can be converted to a decimal as 0.082, which is a valid probability since it is between 0 and 1.

c) 0.0234 - This is a valid probability since it is between 0 and 1.

d) 122.96% - This can be converted to a decimal as 1.2296, which is not a valid probability since it is greater than 1.

e) 5/3 - This can be simplified to approximately 1.6667, which is not a valid probability since it is greater than 1.

f) 0.45% - This can be converted to a decimal as 0.0045, which is a valid probability since it is between 0 and 1.

Therefore, options (d) 122.96% and (e) 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. The other options are valid probabilities as they fall within the range of 0 to 1, inclusive.

To know more about probability:

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if g(x) equals 4x + 5, which statement is true? Select the correct answer.

Answers

Hey l need summ more info just email me and we can get this done

I need to know the area of the shape base 1 (27ft) base 2(34ft) Height (12ft)

Answers

Perhaps you've seen the formula
.. A = (1/2)*(b₁ +b₂)h

Use it.
.. A = (1/2)*(27 ft +34 ft)*(12 ft)
.. = (1/2)*(61 ft)*(12 ft)
.. = (30.5 ft)*(12 ft)
.. = 366 ft²

What is the solution to the system of equations?

2x – y = 7

y = 2x + 3

(2, 3)
(2, 7)
no solution
infinite number of solutions

Answers

No solution would be the answer.

ANSWER

The given system of equations has no solution.

EXPLANATION

We write the two equations in the slope-intercept form,

[tex]y = mx + c[/tex]

The first equation is
[tex]2x - y = 7[/tex]

We make y the subject to obtain,

[tex]y = 2x - 7 - - (1)[/tex]

The second equation is already in slope intercept form.

[tex]y = 2x + 3 - - (2)[/tex]

We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.

A recipe calls for 1/4 teaspoon of shortening for every 2/3 cup of milk. What is the unit rate of cups per teaspoon? Explain

Answers

This is the rate per 1/4 of a teaspoon.
To find the rate for a whole teaspoon, multiply 2/3 by 4 to get 8/3, or 2 2/3.
So, the rate is 2 2/3 cups of shortening per teaspoon.
Hope this helps!

What is the answer to 2/5 + 7/20 and 6/15 + 14/40

Answers

2/5+7/20=3/4

6/15+14/40=3/4

2 times 5=10 7 times 20 is 140 6 times 15 is 90 and 14 times 40 is 560 and all the anwsers to that and that’s what you get

if the selling price is $18.00 and the markup is 33%.what is te dollar markdown?

Answers

the answer is 16.67 hope this helps

Good night. How ru?

If the markup is 33%, then the markdown is 67%

(18*67)/100 = x
1.206/100 = x
100x = 1.206
x = 1.206/100
x = 12,06$

find the separate equations form the lins represented by 3x^2 + 10xy + 8y^2 + 14x + 22y + 15

Answers

3x^2 + 10xy + 8y^2 + 14x + 22y + 15 = 0

3x^2 is factorable only as 3x and x.
15 can be 15 * 1 or 3 * 5.
As a first guess, I place 5 and 3 in that order.
The coefficients of y are unknown so far.

= (3x + Ay + 5)(x + By + 3)

= 3x^2 + 3Bxy + 9x + Axy + ABy^2 + 3Ay + 5x + 5By + 15

(3B + A)xy = 10xy

(3A + 5B)y = 22y

A + 3B = 10
3A + 5B = 22

-3A - 9B = -30
3A + 5B = 22

4B = 8

B = 2

A + 3B = 10

A + 6 = 10

A = 4

3x^2 + 10xy + 8y^2 + 14x + 22y + 15 = (3x + 4y + 5)(x + 2y + 3)

The product of (3x + 4y + 5)(x + 2y + 3) is indeed
3x^2 + 10xy + 8y^2 + 14x + 22y + 15

The lines are
3x + 4y + 5 = 0
x + 2y + 3 = 0

look.. this is my question dat ur helping meh wit..

sorry.. I didn't know where else to send dis...(+_+)

I need the answers to 5&6 explain how you found the answer and I'll give brainliest

Answers

I found the answer to 5, but I couldn't see the rest of worksheet to solve 6 thoroughly.

Both of these problems can be solved through substitution using the variables that you know equal a number.

For example #5: 5(3)(3)-7(3)+4
45-21= 24, and 24+8=28

That is how you solve number 5 and can also solve 6 the same way using the same method.

Can anyone help me? Or at least explain how you solved the problem

Answers

2/3.3/1=6/3
Answer is 2.

The answer would be 2 because 2/3/1/3 is the same as 2/3 multiplied by 3/1 because you are dividing fractions so you keep change flip.

Please help me !!! Easy math

Answers

the first one is $10 , the second one is $22

Answer:

i agree with answer above mine

Step-by-step explanation:

Which relationship between x and y in the equation shows a proportional relationship y=12x y=12/x y=2x+6 y=x/2+3

Answers

y = 12x . . . is a proportional relationship

_____
y = 12/x is an inverse relationship

y = 2x+6
y = x/2 +3 are both linear relationships, but not proportional relationships.

a circular rug is 6 feet in diameter. binding for the edge costs $1.50 per yard. what will it cost to bind the rug? justify your answer

Answers

C = circumference or perimeter of circle

d = diameter length

C = πd

How many yards in 6 feet?

1 yard = 3 feet

So, 2 yards = 6 feet

C = π(2 yards)

C = 2π yards

Each yard is $1.50.

So, what do you think we do next?

Can you finish?

"write an equation in slope-intercept form of the line satisfying the given conditions."

The line passes through (-3,2) and is parallel to the line whose equation is y = 4x + 1.

How do I do this problem? Show all work.

Answers

The given line has a slope of 4.
This is because y = 4x+1 is in the form y = mx+b (m = 4 is the slope)

Any line parallel to the given line is also going to have the same slope of m = 4

Plug in m = 4 and (x,y) = (-3,2) and then solve for b
y = mx+b
2 = 4(-3)+b
2 = -12+b
2+12 = -12+b+12
14 = b
b = 14

So m = 4 and b = 14 means that y = mx+b turns into y = 4x+14

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

Final Answer: y = 4x+14

Find the total surface area of the cube box below

Answers

The surface area of the cube is 24 feet.

We know a cube has 6 equivalent sides. One side has an edge of 2 ft so the other edges are all 2 ft so 6(2 x 2) or 2 x 2 + 2 x 2 + 2 x 2 + 2 x 2 + 2 x 2 + 2 x 2 = 24ft.

What is the surface area of this design/

Answers

A=lxw so 640in that is your answer

Other Questions

He was most fifty, and he looked it. His hair was long and tangled and greasy, and hung down, and you could see his eyes shining through like he was behind vines. It was all black, no gray; so was his long, mixed-up whiskers. There warn't no color in his face, where his face showed; it was white; not like another man's white, but a white to make a body sick, a white to make a body's flesh crawla tree-toad white, a fish-belly white. As for his clothesjust rags, that was all. He had one ankle resting on t'other knee; the boot on that foot was busted, and two of his toes stuck through, and he worked them now and then. His hat was laying on the flooran old black slouch with the top caved in, like a lid. Which best describes the effect of the narration? A). It gives the reader an objective view of Hucks father. B). It foreshadows Hucks argument with his father. C). It helps the reader see Hucks father through Hucks eyes.D). It distances the reader from Huck and his father. I darkened her eyes with kohl and the years fell away more; She was so pitifully young I could hardly believe she was to be married today.Identify the word in the excerpt that has a connotative meaning and explain, in at least 150 words, the significance of the word, and whether the meaning holds a positive or a negative emotion. I need to know the answer What is the answer to 3(t-7)=6t Can someone please check my answers ?Read the passage.excerpt from "Marie Curie and the Discovery of Radioactivity" by Mara RockliffTo the Austrian mine owners who had sent the pitchblende ore, it was just dirt. After all, they had already taken out the valuable partthe metallic element called uraniumand dumped what was left over in a nearby pine forest. If a pair of eccentric French scientists wanted them to scoop up the worthless stuff and ship it, the mine owners were happy to oblige. It could be inferred that the word pitchblende in the paragraph means "a black mineral deposit."Which context clue best helps confirm this meaning of the word pitchblende?A."and dumped what was left over in a nearby pine forest"B."they had already taken out the valuable partthe metallic element"C."the mine owners were happy to oblige"D."ore, it was just dirt" (my answer)Read the passage.excerpt from "Healing a Wounded Heart: Daniel Hale Williams" by William OremWhen Dr. Williams set up his medical practice, there were only three other black doctors in Chicago. He worked at the South Side Dispensary, where he was often called upon to make use of his skills in surgery. He also provided medical care for children at a nearby orphanage and taught anatomy at the medical college where he had studied.It could be inferred that the word dispensary in the paragraph means "pharmacy."The inferred meaning is______ as best verified by the context clue ______________ from the paragraph.correct (my answer )incorrect "worked in the South Side Dispensary ""for children at a nearby orphanage" (my answer)"make use of his skills in surgery""taught anatomy at the medical college " a person standing on a canoe throws a cement block over the side. the action force on the cement block is 60 N. The reaction force is on the person and canoe. Their total mass is 100 kg. What is their acceleration? please help! determine whether the number is closest to 0, or 1. explain why. (a. 10/9) (b. 9/16) (c. 2/15) theyre not answer choices. Read the following passage:Kim watched as her blithesome new kitten gleefully chased and pounced on a string.Based on the clues, what is most likely the definition of the word blithesome?cheerfulkindsweethilarious Classical conditioning takes place when a(n) ________ is continuously matched with a(n) ________. In quality technical writing, it is best to use _ language. A. concrete B. exciting C. abstract D. complex find the difference (-ab+9a-1)-(5ab-3) A polar bear swims 390 meters at a constant rate in 150 seconds. What is the speed of the polar bear? During cell division, or mitosis, an exact duplicate of the original cell is produced. The instructions for cell division are found in the __________ in the __________. A)nucleus:RNA B)chromosomes:nucleus C)nucleus:nucleolus D)ribosomes:RNA Submit Hint Calc From Molecules to Organisms: Structures and Processes (HS-LS1-4) Mitosis ID: 27320 Which statements about Yup'ik serving dishes are true?Choose all answers that are correct. 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If an albino deer is born to two parents who each have normal fur coloration, what conclusion may be drawn about the genotypes of the parent deer? A)Both parents must be homozygous for the coloration gene. B)Both parents must be heterozygous for the coloration gene. C)The female parent must have two recessive alleles for the coloration gene. D)No conclusion may be drawn about the parental genotypes based on the information given. The labels button is found under the a) mailings tab b) view lab c) page layout tab d) file tab The main source of phosphorous is in: rocks water plants the atmosphe You are at home in your air conditioned garage. You are planning a family road trip from New York to Florida. You are lnfating the tires of your suv. You fill each car-tire with about 10 Liters of air. The temperature inside your air conditioned garage is about 10 degrees Celsius. Your family packs the car, and you begin your trip to Florida. 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