Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.

Answers

Answer 1

Answer:

The expression has a variable with a coefficient (constant) and a constant. Therefore, to create a new expression with 2 terms, take out a constant and use parentheses:

The most obvious number to take out is either 2 or 3 since those are the constants in the expression:

Taking out the constant 3:

[tex]2x-3= 3\left(\dfrac23x-1\right)[/tex]

or taking out the constant 2:

[tex]2x-3= 2\left(x-\dfrac32\right)[/tex]

However, you can choose to take out any value, as long as it's a number and not a variable:

[tex]2x-3= \dfrac12\left(4x-6\right)[/tex]

[tex]2x-3= \dfrac14\left(8x-12\right)[/tex]

To check that it is equivalent, expand the brackets.

Answer 2
An equivalent expression would be for example:
3 ((2/3) x - 1).
In order to write it, what is done is that the common factor is taken out three of the expression.
To check which is the same expression, you can multiply three to both terms of the equation:
3 ((2/3) x - 1) = (3 * (2/3) x - 3 * 1) = ((6/3) x - 3) = (2x - 3).

Related Questions

Evaluate the expression when a=4, b=15, and c= 16.



20 ÷ a


16

5

7

6

Answers

Answer:

5

Step-by-step explanation:

20 / a

20 / 4

5

Answer:

5

Step-by-step explanation:

20 ÷ a

20 ÷ 4 = 5

Hope this helps!

Factor Completely: 10x + 15

Answers

Answer:

5(2x + 3)

Step-by-step explanation:

[tex]10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)[/tex]

Answer:

5(2x + 3)

Step-by-step explanation:

\begin{gathered}10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)\end{gathered}

10x+15

=2×5×x+3×5

(takecommonfactorsout)

=5(2×x+3)

=5(2x+3)

Min-jun weighs 191 pounds and plans on losing 4.9 pounds each month. Ahab weighs 216 pounds and plans on losing 6.2 pounds per month. If they stick with their plans, how many months will it take Ahab to weigh the same as Min-jun? Write an equation to represent this situation. Use x as the variable. Find the number of months provide an answer accurate to the nearest month

Answers

Answer:

if i did my math right it should be 216-(6.2*x) 191-(4.9*x)

Step-by-step explanation:

216-(6.2*x) 191-(4.9*x) and if you go up the line from 0 from the first and second equation you will end up at 8 and 5 so Ahab will have to stick to his plans for 8 months/but if it means how much if he needs to reach near or exactly 191 pounds then it would be only 216-(6.2*x) for the equation and the answer would be 4 months

Answer:

i don't know that one is hard sorry

Step-by-step explanation:

Solve for y.
6 = 2 (y+2)

y = ___

Answers

y=1!!!!!!!!!!!!!!!!!!!

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

Given the following question:

[tex]6=2(y+2)[/tex]

In order to find the answer, we will rewrite the equation by switching the sides and then solve by dividing on both sides.

[tex]6=2(y+2)[/tex]
[tex]2\left(y+2\right)=6[/tex]
[tex]\frac{2(y+2)}{2} =y+2[/tex]
[tex]6\div2=3[/tex]
[tex]y+2=3[/tex]
[tex]2-2=0[/tex]
[tex]3-2=1[/tex]
[tex]y=1[/tex]

Hope this helps.

help okay ✅
….. brainly

Answers

The volume of the cylinder is [tex]V = \pi r^{2} h[/tex]

Known Facts:

r = 8fth = 17ft

Lets plug it into the equation

   [tex]V = \pi *8^{2} *17 = 3418.1[/tex] cubic feet

Thus the volume is 3418.1 cubic feet

Hope that helps!

The volume of the cylinder is 

V = \pi r^{2} hV=πr2h

facts:

r = 8ft

h = 17ft

equation:

   V = \pi *8^{2} *17 = 3418.1V=π∗82∗17=

3418.1 cubic feet

Thus the volume is 

3418.1 cubic feet

The figure is a regular heptagon with side length s. Find two algebraic expressions that use different operations to represent the perimeter of the figure.

Answers

Answer:

First expression

P = s x 7

Second expression

P = s+s+s+s+s+s+s

6y + 2 + 3 + 14y
Using the expression shown, add like terms and produce an equivalent expression.

Answers

Answer:

20y + 5

Step-by-step explanation:

6y + 2 + 3 + 14y

20y + 2 + 3

20y + 5

Have an amazing day!

PLEASE MARK BRAINLIEST!

Answer:

Added Like Terms: 20y + 5

Equivalent Expression: 12y + 8y + 4 + 1

Explained:

Add like terms. Both 6y and 14y have a variable of y, so they can be added.

6y + 14y = 20y

Next, add the next set of like terms. 2 and 3 both don't have a variable, so you can add em'.

2 + 3 = 5

There are no more like terms to add since 20y has a variable and 5 doesn't, leaving you with the answer 20y + 5.

As for the equivalent expression, I just created another expression that equals 20y + 5.

please can you help us

Answers

Answer:

above is the solution to the question

Answer:

60cm

Step-by-step explanation:

20/4 = 5

one side of the square = 5cm

l (length) = 4 squares

w (width) = 2 squares

p (perimeter) = 2(5l) + 2(5w)

p = 2 x 20 + 2 x 10

p = 40 + 20

p = 60

another please i need major help im so bad at math

Answers

9

x+2y-3
(2) +2(5)-3
2+10-3
9

Answer:

9

Step-by-step explanation:

substitute

x+2y-3= 2+2(5)-3

multiply

2+10-3

add and subtract

9

hope this helps

brainliest appreciated!!

:)

What would 24 x 4 5/6 be?

Answers

Answer:

115.9 with a repeating 9 or 116/1 in fraction form

Step-by-step explanation:

4 5/6 as a decimal is 4.83 repeating 3. Multiply that by 24 and you get 115.9 repeating 9. (You can write that as 9 with a dash above it.)

Answer:

116

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Someone pls help with number 2, i will choose brainliest!

Answers

Answer:feburary 10 ,11,12,13,14

Step-by-step explanation:

put it in that order

the answer says 10,11,12,13,14!!!

Pleaze answer this question

Answers

I think the answer is B because it says that the new test score is 12 points more so you would add 12 + 12

URGENT I NEED HELP ANSWERING THESE

Answers

I can only answer 5, use my answer to help find 6.
Answer:

The volume is 259,824,773,000

Step-by-step explanation:

r, or radius is half of the diameter. So we are left with (4 * pi (also known as 3.14159)* 3958.5^3)/3

(7.7947432 * 10 ^ 11) / 3 = 779,474,320,000 / 3

Which is equal to 259,824,773,000 as the volume.

I hope this solves 5 and helps you with 6.

This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city park.

How many people take the bus to the city park?


20 people

25 people

32 people

40 people

Answers

Answer: 32 people take the bus to the city park.

Step-by-step explanation: 40% of 80 is 32.

(0.40 x 80 = 32.)

Answer:

35 people took a bus to city park

Step-by-step explanation:

Please help me, this is on a new unit and i dont understand it

Answers

                                                             

Answer:                                  

_____________________________

Answer:

0.22

Step-by-step explanation:

To find the experimental probability, we first find the total amount of responses and then divide it by the number of responses going to city A. The total is 100, and the number of responses going to city A is 22.

Now divide the number of responses of going to city A by the total.

Experimental probability = 22/100, or 0.22

I don't know if this is the right answer, but I hope this helps.

15.) Which number is greater? Explain.

Answers

-8 is greater bc 3 is lower than 8

Answer: 3/8

Step-by-step explanation:

[tex]\sqrt{7/64}[/tex] = 0.33071891

3/8 = 0.375

hey! This is due at like 11 pm!

Answers

Answer:

(x=9)

largest angle= 8x+8(ans=80)

Step-by-step explanation:

first of all we need to find x

we write this as an equation

8x+8+5x-1+5x+11=180

18x+18=180

18x=180-18

18x=162

x=162/18

x=9

Now the question is to find the largest angle

so

we just find the orginal value for all the angles by replacing the x with 9

1. 8x + 8

   = 8x9+8

    = 80

2. 5x - 1

  =  5 x 9 - 1

   = 44

3. 5x+11

  = 5 x 9 + 11

   = 56

Hence the largest angle is 80 ( 8x+8)

Hope this helped.

I will give brainlest to the first person to answer
A merchant buys a shipment of spices for $76 and then sells it for $100. For each sack of spices, he gains a profit of $2. How many sacks did he sell?

Answers

Answer:

he made money on 12 of them but he sold 50

A biker travels 8 miles in 10 minutes. Another biker travels 20 miles in 30 minutes. Do these two
rates form a proportion? Explain.

Answers

These both rates are not proportional because if 8 mile in 10 minutes and 20 miles in 30 minutes .. So 10 times 3 equals 30 minutes but if we multiply 8 times 3 is equal to 24. So there are not proportional.. I hope this helped

MUST EXPLAIN NOT A STRAIGHT UP ONE ANSWER OR REPORTED

Create an inequality that models the situation and explain how I wrote the equation and how I solved it, then answer the question: How many cell phones can this family have?
A cell phone company charges $50 plus $40 per line each month. Luke must spend under $170 on his family's cell phone bill each month. How many cell phones can his family have?

A. Write an inequality to solve this situation.

B. Solve the inequality to answer how many cell phones this family can have.

C. Explain how you solved the inequality.

Answers

Answer:

Step-by-step explanation:

170=40x+50

170=40x+50                              subtract 50

120=40x                                     divide by 40

3=x

Answer:

50+40x2=130

Step-by-step explanation:

the family can have 2 cell phones

I solved by finding the cost of the phone companys charge then the cost of 2 lines

7 x 8y - (2x ÷ 5)
factorize

Answers

Hii.

I'm here to help!

First, we need to work with parenthese. Rembering "Pemdas"

Multiply 7 and 8 to get 56.

56y− 2x/5

To add or subtract expressions, expand them to make their denominators the same. Multiply 56y times   5/5

5x56y

------------    -2x/5

    5

Since  5x56y over 5  and 2x over 5 have the same denominator, subtract them by subtracting their numerators.

5 x 56y  -2x  over 5

Do the multiplications in 5×56y−2x.

280y−2x over 5

7×8y−(2x÷5)

Factor out  

5

2

.

5

2(140y−x)

Hope this helps :D

Answer:

-2/5x + 56y

Step-by-step explanation:

(7)(8)y - 2x/5

= 56y + -2/5x

Hope I helped :)

A runner completed a 26.2-mile marathon in 210 minutes.Estimate the unit rate, in minutes per mile. Round your answer to the nearest tenth of a minute.

Answers

Answer:

The unit rate in minutes per miles be 8.02 minutes per miles .

Step-by-step explanation:

Step 1. 26.2 miles/ 210 mins  = x miles / 1min

1 * 26.2 / 210 = .12 miles / min

Step 2. 26.2. 0.13

÷210.

210. 1

(The amount miles ran in 1 minute is 0.13 miles.)

Step 3. 26.2/210= .125 miles per minute

210/26.2= 8.02 minutes per mile

Step 4. 1) Cross multiply. (26.2 = 210x)

2) Divide 210 from each side. (26.2/210 = .1247619048  ,  210x/210 = x)

3) Round to the nearest 100th. (.12)

4) X=.12

5) .12 miles ran per minute

Can you please fill in this table?

Answers

Answer:

Middle School In Favor: 25%

Middle School Not in Favor: 75%

High School In Favor 20%

High School Not In Favor 80%

Step-by-step explanation:

For the middle school in favor, we need to find the percent, which is 50 out of 200, so its 1/4, 25%

So the rest of the middle school is not in favor, which is 75%

High school is 60 not in favor, so we need to find the percentage. So 60 out is 300 is 20%

And we just subtract 20 from 100 which leaves us with 80

;) hope u got the answer correct

HELLPPP! 4 minutes!!!

Answers

Answer:

16/14 learn your fractions.

SOMEONE PLS HELP THIS IS DUE TODAY I NEED #4

Answers

Answer:

im only in grade 7 ;-;

Step-by-step explanation:

help pls im in 7th grde and i get problems like this :( HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

how??

Step-by-step explanation:

i mean like i guess the rumors of the horrid 7th grade is true. Pray for me cause i go there in two years...

also the answer is in the picture

it has the answer for you it is if odd is even and if n is odd

Step-by-step explanation:

This scale drawing shows a reduction in a figure.


What is the value of x?


Enter your answer as a decimal in the box.


x =

Answers

.9 because 6.4 times .25 is 1.6 so to find the answer you need to multiply 3.6 and .25 so.

X=.9

Answer:

0.9 or .9

Step-by-step explanation:

6.4 = 1.6 3.6 = x

6.4 multiplied by .25 equals 1.6

3.6 multiplied by .25 to get 0.9

Fill in the table of input-output pairs for the given rule. Write an algebraic expression for the rule in the box in the diagram.
and look and answer the math problems/questions in the images

Answers

Answer:

the equation is

Step-by-step explanation:

x + 3=3x4

Could any one help me with this? And with explanation and who ever answers first gets brainliest answer​

Answers

Answer:

gonna solve fore perimeter and area

P = 12 + 3 + 3 + 9 + 9 + 4 + 4 + 4 = 48cm

P = 48 cm

For area or A it is

A = (12*3) + (4*9) = 72 cm^2

Step-by-step explanation:

use deductive reasoning to determine the missing side lengths, and then solve by splitting the figuring into multiple rectangles

Answer:48 is the perimeter

Step-by-step explanation: 12 + 3 + 3 + 9 + 9 + 4 + 4 + 4

2 3s because there are 2 sides to the top shape and i got the 3rd 4 by using the top 12 and subtracting 8 because there are 4s on both sides of the rectangle that hangs down

HELP 50 POINTS IF U ANSWER
Geraldine is graphing the inequality x less-than 6. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.
Draw an open circle at 6.
Draw a closed circle at 6.
Shade all numbers less than 6.
Shade all numbers greater than 6.
Shade all numbers to the right of 6.
Shade all numbers to the left of 6.

Answers

Answer:

Draw an open circle at 6.

Shade all numbers less than 6.

Shade all numbers to the left of 6.

Step-by-step explanation:

I hope this helps!

Answer:

a c and f

Step-by-step explanation:

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