Mathematics Middle School

Drag justifications into the table to explain each step in solving the equation 5(2x+1)=2(4x-7)+3

Answers

Answer 1
x= -8 (Answered)
10x+5=14x-14+3
Answer 2

The justifications are in the order distributive property, associative property of addition, Combine like terms, Addition property of equality and multiply by LCD.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

5(2x + 1) = 2 (4x - 7) + 3

Using distributive property, a(b + c) = ab + ac

10x + 5 = 8x - 14 + 3

10x + 5 = 8x - 11  [associative property of addition]

10x - 8x + 5 = -11

2x + 5 = -11  [Combine like terms]

2x + 5 - 5 = -11 - 5

2x = -16 [ Addition property of equality]

2x / 2 = -16/2

x = -8  [multiply by LCD]

Hence the justifications are done.

Learn more about Equations Solving here :

https://brainly.com/question/30066982

#SPJ3

Related Questions

im just so confused i get the wrong answer on all of them please someone help me

Answers

Answer:

I think it's a but I might be wrong

it’s either A or C but i would say C

what is the value of t?

Answers

Answer:

Hello! answer: t = 50

Step-by-step explanation:

the angle next to 40 will form a complementary angle so... 90 - 40 = 50 sense that forms a vertical angle t would = 50 hope that helps!

the red square shows they make a right angle which is 90. so 90-40= 50. so therefore, t would be 50!

Write the following number in standard form.

Eight million, thirty-six thousand, five hundred four and twenty-one hundredths

Answers

Answer:

8,036,504.21

Step-by-step explanation:

One way to convert a number from word form to standard form is by using a place value chart.

EIGHT MILLION, THIRTY-SIX THOUSAND, FIVE HUNDRED FOUR AND TWENTY ONE HUNDREDTHS.

8,036,504.21
Let me know if you need more of an explanation

Can someone help me?

Answers

Answer:

I think it might be 6

Step-by-step explanation:

You should probably wait for another answer, I did this in Math last year so I think it's 6 but I can't really remember sorry ):

Answer:

Suppplementary angle is 5 or A

SORRY again but can someone pliss help me with?
i got the answer wrong
no links

Answers

Answer:

4 and 1

or

A and D

Angle one and angle four!

Someone help me plzzz

Answers

It would be 6 cubic ft

Joseph borrows 100000 from his sister Katie at an annual interest of 10%. If the interest is compounded twice a year, how much does he owe after 12 months?

Answers

After 12 months it will be 328.7
After 12 months it will be 328.7

There are 24 pupils split into classes in the ratio 1:2. How many pupils are in each class?

Answers

There are 12 pupils in each class

Answer:

12

Step-by-step explanation:

because 24 divided by 2 is 12

Which equation represents the line shown on the graph in the picture

Answers

Answer:

either the second one or the fourth one. good luck

Step-by-step explanation:

y=-x+2 The third answer. Hope this helps :)

Again help please!

Marie made a model (shown below) of the square pyramid she plans to build when she grows up.

Find the surface area of the model please!

Answers

Answer:

Base = 8x8=64

face 1 = 4x5=20

All faces = 20x4=80

80+64=144m squared

144mm is the
Correct

Factor 60y-90-20x to identify the equivalent expressions.
Choose two answers.
A) 5(14y−16−4x)
B) 2(30−45−10)
C) 5(12y−18−4x)
D) 10(6y−9−2x)

Answers

Answer:

A

Step-by-step explanation:

Multiply 5 with the expression in the bracket you will get 60y-90-20x

A and D are the correct answers

Write a paragraph describing how basketball and ultimate frisbee are similar. Include at least 5 ways.

Answers

The only difference between ultimate Frisbee and basketball is the equipment; instead of using a ball, a disc is used; however, either way it is the same concept. ... The premise of this game is to pass the ball into the opposing team's endzone and score the most points.

Answer:

both include shooting accuracy

both can be done outdoors

both have to be thrown into some type of goal to score points

both require practice to be good

both involve throwing of some sort

Step-by-step explanation:

Mayumi has the boxes shown at the right. The total number of objects in two of the boxes is the same as the number of objects in the third box. Write an equation to show the relationship of the number of objects in the boxes.
Addition and Subtraction Equations
11.2

Answers

The answer is 22

Multiply 11x2

Answer: x+x=2x

Step-by-step explanation:

Well, it says there are half of the objects in two baskets of the third one.

So x (first box) + x (second box) = 2x (third box)

(also mayumi needs to learn to save boxes too)

Happy to help :)

-jp524

Select all of the proportional relationships

Answers

A,D can I get my Brainly
I think it’s A and D

what simple machine is this? i'll mark brainliest!

Answers

A LEVER

Its a lever because both sides can be controlled by eachother :)

Answer:

Balance scale/ lever

Step-by-step explanation:

how do i explain what something is when its right there :(

Find x using the vertical angle theorem.

Answers

Answer:

x+16=4x-5

x-4x= -5 -16

-3x =-21

-3x/-3= -21/-3

x=7

Answer: X=7

Explanation:

At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the corresponding terms in the third column. Then graph the ordered pairs.

Answers

Step-by-step explanation:

so make a graph and add 1 to have on the bottom and 3 to any number just go up 3 every time then graph it like that

I hope this helps some of you!!!
Find the volume:

Answers

I think it is 28.6875

show all your work for 3 4 and 5, please

Answers

Answer:

I can't see the picture so I can't sovle it  

Step-by-step explanation:

3. 1/15

explanation:
-3/5 and -2/3 need the same denominator so multiply them so that they equal the same. so multiply -3/5 by 3 and then -2/3 by 5. so that equals: -9/15 -(-10/15). The minis a negative cancels out and it becomes plus. so -9 plus 10 is 1 and 15 stays the same. so 1/15.

4. -5.2

explanation:
a negative (-2.5) subtracted by a technically smaller negative (-5.2) will equal a positive number

5.B

i just used a calculator tbh

HELPㅔPLS! BOTS STAY AWAY!! The mean amount of money withdrawn from
a bank ATM on a particular day was $120. If Lauren withdrew $80 and her z-score was -3.2, what was the standard deviation for the amount withdrawn that day?

Answers

The answer is $45 it wasn’t that hard

45$ because of 120$ and 80$

How can you slice a rectangular prism to create a trapezoidal plane section? Show and describe the plane section formed
by the slice.

Answers

Answer:

Step-by-step explanation:

I believe the answer is C) Square. I am sure of my answer :)

if this is the question the answer is C

A plane slices diagonally through a rectangular prism as shown. Which term best describes the cross-section formed by the intersection of the plane and the prism? A) kite Eliminate B) rectangle C) square D) trapezoid

The answer is……………………

could anyone help me with this easy math ?

Answers

Answer:

alternate angle, opposite angles are the same, 3x-3 = 147

x = 144/3 , x =48

Step-by-step explanation:

Answer:

Type is an acute angle! Key info is ¨(3x-3)* and 147*¨ equation would be (3x-3)-147

Step-by-step explanation:

hope this helps!! :)))

What is the rate of change of the line on the graph below?

Answers

2/3 is the rate of change

Pls help if u know the answer! Thanks! :)

Answers

Answer:

3.21

Step-by-step explanation:

Sry if it wrong

-3.21 because 3.2 is also 3.20
Hope this helped!

The chef at a restaurant bought 37 pounds of salad for $46.25. How much did she pay for 1 pound of salad? Show all work and explain your reasoning.

Answer in paragraph

Answers

Answer:not sure

Step-by-step explanation:

so first you would take the price devised by the ponds given because that’s what we know. 46.25/37 = 1.25. this means each pound of salad costed $1.25

Find the MEAN for the data set: 6, 2, 7, 3,2

Answers

Answer:

4

Step-by-step explanation:

To find MEAN, add up all the values in a data set and then divide by the number of values.

6+2+7+3+2 = 20

Number of values in data set: 5

20÷5= 4

4. if you add all the numbers together, you’ll get 20. if you divide that by how many numbers there are, you’d get 4.

If 80% of an item is $280.00, what is the original price?

Answers

Answer:

$350.00

Step-by-step explanation:

$280 = 80%

$3,5 = 1%

$350 = 100%

if $280 is 80%

then every percent is $3,5

original price is 100%

so multiply 3,5 by 100

then you'll get 350

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