Find the value of c that will make the following two expressions equivalent.

2a+10b-8-2(4a-6) and -6a+20b+c

Answers

Answer 1
We can begin by simplifying the first expression:

2a+10b-8-2(4a-6) = 2a+10b-8-8a+12
= -6a+10b+12

Now we need to find the value of c that makes -6a+10b+12 and -6a+20b+c equivalent. In order for them to be equivalent, they must have the same coefficients for a and b. The coefficient for a is already the same (-6), so we just need to make the coefficient for b the same:

10b = 20b
10b - 20b = 0
-10b = 0
b = 0

Now that we have found the value of b, we can substitute it back into either expression to find the value of c:

-6a+10b+12 = -6a+10(0)+12
= -6a+12

-6a+20b+c = -6a+20(0)+c
= -6a+c

Since these expressions are equivalent, their coefficients for a must also be equal:

-6a+12 = -6a+c

Simplifying this equation, we find:

12 = c

Therefore, the value of c that makes the two expressions equivalent is 12.

Related Questions

A map of your town has a scale of 1 inch to 0.25 miles. There are two roads that are 5 inches apart on the map. What is the actual distance between the two roads?

Answers

Answer:

1.25 miles

Step-by-step explanation:

PLEASE HELP AND QUICK

Answers

Answer:

1/3 P

Step-by-step explanation:

If P/3 is equal to the length of one side, then 1/3 P is also equal to the length of one side, since 1/3 x P = P/3.

PLSS HELP MEEEEEEE ILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:simply easy , A= -1/4 B= 0.5 C= 3/4 D -0.75

Step-by-step explanation:

A -1/4
B 0.5
C 3/4
D -0.75

Find the value of c that will make the following two expressions equivalent to 4!!

The answer is 4, Our teacher gave us the answer but I need the work to show how she got it.

2a+10b-8-2(4a-6) and -6a+10b+c

Answers

Answer:

see below

Step-by-step explanation:

We are given 2 equations:

[tex]2a+10b-8-2(4a-6)\\-6a+10b+c[/tex]

We are told to find c to make them equivalent, so we can make them equal to each other:

2a+10b-8-2(4a-6)=-6a+10b+c

To find c, we have to isolate it, here are the steps:

2a+10b-8-2(4a-6)=-6a+10b+c

subtract 10b from both sides

2a-8-2(4a-6)=-6a+c

rearrange left side

2a-2(4a-6)-8=-6a+c

distribute the positive 2 to the terms in parenthesis

2a-(8a-12)-8=-6a+c

distribute -1 to the terms in parenthesis

2a-8a+12-8=-6a+c

simplify

-6a+4=-6a+c

add -6a to both sides

4=c

Hope this helps! :)

I think the person it right there

The owners of a company are hosting a party for its 453 employees. They want to order sandwich platters that each feed 24 people. What is the LEAST number of platters the owners should order if they want to have enough sandwiches to feed all of the employees?

Answers

Answer:

19 Platters

Step-by-step explanation:

453 ÷ 24 = 18.875

Rounded to the nearest whole number = 19

∴ It would take at least 19 platters

Proof:

19×24=456

Which is more that enough

The answer is 19 platters

Choose the inequality that represents the following graph.


A) x > -9

B) x > -8

C) x > -7

D) x < -7

Choose more than one.

Answers

Answer:

D), A)

Step-by-step explanation:

C) x> -7 is the correct answer

Solve the side angel for x.

Answers

Answer:

x=80

Step-by-step explanation:

a^2+b^2=c^2

48^2+64^2=x

2304+4096=x

6400=√x

√ to get x alone

80=x

X=80 hope this helps

alice is going to the drugstore the dry cleaners and the bakery
a) use a tree diagram to show how many possible orders she could go to all three stores
b)alice chooses her route randomly what is the probability she will go to the bakery first.

Answers

Answer:

b

Step-by-step explanation:

1/3×100

==100/3

=33.3%

please help (worth 10 points)

Answers

Answer:

3) CAD 160

4) CAD 163.20

Step-by-step explanation:

Q3) CAD 1= USD 0.75 OR 75 CENTS

X=USD 120

X= (120x1)/0.75

=CAD 160

Q4) 100%= CAD 160

100%+2%=y

y= (102x160)/100

= CAD 163.20

What shape is formed if you plot the
points (2, 5), (6, 5), (5, 3), and (1, 3) and
connect the points in the order listed?

Answers

Answer: D. Parallelogram

Step-by-step explanation: I just put it in on a graphing calculator.

Answer:

D. Parallelogram

Step-by-step explanation:

Please refer to the attachment

Alex painted 178 ft2 of his 1/3 apartment's walls with gallon of paint. He has 2 gallons of paint in all. If he wants to cover 1,000 f2 of his apartment, does he have enough paint? Complete a true statement.

2 gallons of paint will cover

A. 968

B. 996

C. 1,068

f2 and Alex needs to cover 1,000 f2 so he

D. will

E. will not

have enough paint.

Answers

Answer:

Step-by-step explanation:1 gallon of paint paints 1/3 of the house and he had already painted 1/3 of the house with 1 gallon of paint. so the left is 2/3 of the house. and 2 gallon of paint paints 2/3 of the house so,2/3=2/3 which means D. he will cover 1,000 f2 of his apartment.

....................

Answers

46 ft. ^3 i believe hope this helps :)

PLEASE HELP I'M ALMOST DONE

Answers

Mode is 8, it occurs the most times.
Answer: 8
The answer is E. The mode is whatever number occurs the most

Can someone help me please

I have to show work

Find the surface area of the rectangular prism shown. Draw a net to help you.

Answers

2(6*9) + 2(6*5) + 2(5*9)

Surface Area = 258 units

*IG: whis.sama_ent

2(6*9)+2(6*5)+2(5*9)

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?



Explain why or why not.

Answers

Answer:

Hello

Yes, all rhombus are considered a parallelogram but every parallelogram is a rhombus is a false statement.

Step-by-step explanation:

So, Jan was correct at first but the second is incorrect.

Bye I hope this helps! (●’◡’●)

Every parallelogram is not a rhombus as not all the sides are equal. However, the converse is true where every rhombus is a parallelogram.

Departure: 5:35 a.m.
Arrival: 8:17 p.m.

Answers

Answer: 2:42

Step-by-step explanation:

8:17 - 5:35 = 2:42

the answer is 2:42
you just count the i between numbers

Find the missing value:
2/5=?/15

Answers

It’s 6 bc 15 divided by 5 you get 3 then 3 multiplied by 2 gives u 6 so 6/15

Answer:

The Missing value is? 6

Solution:

2/5= 2 times 3

        _______

         5 times 3

= 6/15

44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used to simplify the following expression? Select all that apply.

4 + 3(9 + 2)

4 + (3 × 9) + (3 × 2)

4 + 27 + 6

4 + 6 + 27

10 + 27

37

associative property of addition
identity property of addition
identity property of multiplication
associative property of multiplication
commutative property of multiplication
commutative property of addition
distributive property

Answers

Answer:

Distributive and associative

Step-by-step explanation:

In step 2 there is distributive property

From:  4 + 3(9+2)

To: 4+ (3x9) + (3x2)

In step 4 there is associative property.

From 4 + 27 + 6

To 4 + 6 + 27

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50 . The table shows the distances you run.

Time (seconds) x : 2, 4, 6, 8


Distinct (feet) y : 38, 76, 114, 152

A: write a linear equation that relates to your speed?


B: How long will it take for you to catch your friend?

Answers

A. (76-38)/4-2=19 --> m=19

finding b:

y=19x+b

38=19(2)+b

38-38=0

b=0

Linear equation: y=19x

B.

Set the two equation equal to each:

19x=14x+50

5x=50

x=10

It would take you 10 seconds to catch up to your friend :)

please please please please help me I need to get 100 on this paper

Answers

Answer:

1. slope = 12

  y-intercept = 1/3

2.slope = 1/4

  y-intercept= -12

3.slope = 3

  y-intercept = 2

Step-by-step explanation:

When you get an equation for a graph, the co-efficient infront of the x (The number by the x) is the slope.

The equation for the y-intercept:

When solving for y-intercept, you replace y in the equation with 0 and make x the subject.

Example:
y = 12x - 4

0=12x - 4

-12x = -4

divide both sides by negative 12 since we want only positive x

[tex]\frac{-12x}{-12} =\frac{-4}{-12}[/tex]

x = [tex]\frac{1}{3}[/tex]

Therefore, the y-intercept = 1/3

The group wants to travel from its current location on the map to the South Pole, and then back to the base camp, passing through their current location. How many miles will they have to travel?

Explain your answer.

Answers

Answer:

Step-by-step explanation: First you go up south which is 15 miles. then you go right down which is 75 miles. 15+75=90 miles

answer this question.

Answers

Answer:

40

Step-by-step explanation:

70% of something is 28.

We'll use the variable x to hold our value. 70% can be written as 0.7. Rewriting our equation, we get:

0.7 * x = 28.

Lets divide 0.7 over. Our new equation is:

x = 28 / 0.7.

You get that x = 40.

70% of 40 = 28.

Answer:

The answer is 40

Step-by-step explanation:

Sorry I can't really give a good explaination

Hope this helps :)

PLS BRAINLIEST

If you help you will get a Sunday

Answers

It is e that’s the answer I think
The only logically answer would be E.

The diameter of the cracker shown is 35 millimeters.

Which measurement is closest to the area of the cracker in square millimeters?

A 781.751 mm²781.751 mm²
B 109.9 mm²109.9 mm²
C 961.625 mm²961.625 mm²
D 54.95 mm²

Answers

C

Step-by-step explanation:

Diameter = 35 mm

Radius = 35 ÷ 2 = 17.5 mm

Area = pi × r² = pi × 17.5² = 962.112

The closest one is C

c i think :))))))))))

Please help ! :) 17 points for this question

Answers

Answer:20.7 units²

Step-by-step explanation: volume of a rectangular prism is L×W×H

therefore 82.8=L×W×the height which is 4 units so if u do 4×L×W you get 4LW which is the volume

(4LW=82.8) now divide 82.8 by 4LW to get the value of LW. The value of LW is an area of one of the bases because area is L×W which is basically LW

hope you understand all the best

Find the length and the width and once you find that you multiply them and whatever you get should be your answer.

Hi! Can anyone please give me the sale prices step by step?

I am still not sure how to answer this one. I'm asking because my dad can get angry with my grades (F's and D's) and this is 7th grade if you ask :''D

Answers

Answer: 6

Simple Explanation:

To find 75% of 8, just multiply 8 by 0.75 (which is the same as 75%).

8 x 0.75 = 6

The correct answer is 2$
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