A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods. Which describes the correct method? Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent. Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer 1

Answer:

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given expressions

4x - x + 5 = 3x + 58 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

Answer options

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

Incorrect. Positive outcome doesn't mean equivalent

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Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Incorrect. There are 2 values- variable and constant

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Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

Incorrect. Positive outcome doesn't mean equivalent.

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

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Correct.  
Answer 2

Answer:

I was told by a man that it is b

Step-by-step explanation:


Related Questions

What value of x satisfies the equation below?
x +x=12
3 6

A. x=12
B. x=6
C. x=24
D. x=72​

Answers

I believe the answer would be B, but I don't understand what the 3 and 6 are for due to there being no context.

Each row in a classroom has 3 girls and 2 boys. There people 4 rows in that
class. What is the number of students in that class.
I got 20 as my answer is that right?

Answers

Answer:

yep that's right

Step-by-step explanation:

go see

Which geometric figure has the greatest perimeter?
The Square
The right triangle
The rectangle

Answers

Answer:

Triangle has the greatest perimeter

Step-by-step explanation:

Triangle:

[tex]2\sqrt{48}=2\sqrt{2*2*2*2*3}=2*2*2\sqrt{3}=8\sqrt{3}\\\\\\3\sqrt{75}=3*\sqrt{3*5*5}=3*5*\sqrt{3}=15\sqrt{3}\\\\\\6\sqrt{12}=6*\sqrt{2*2*3}=6*2*\sqrt{3}=12\sqrt{3}\\\\\\2\sqrt{108}=2*\sqrt{2*2*3*3*3}=2*2*3*\sqrt{3}=12\sqrt{3}\\\\\\3\sqrt{147}=3*\sqrt{3*7*7}=3*7\sqrt{3}=21\sqrt{3}\\\\Perimeter=3\sqrt{147}+2\sqrt{108}+6\sqrt{12}+2\sqrt{48}+3\sqrt{75}\\\\ =21\sqrt{3}+12\sqrt{3}+12\sqrt{3}+8\sqrt{3}+15\sqrt{3}\\\\=(21+12+12+8+15)\sqrt{3}\\\\=68\sqrt{3}\\[/tex]

= 68 * 1.732 = 117.78

Square:

[tex]\frac{1}{3}\sqrt{63}=\frac{1}{3}\sqrt{3*3*7}=\frac{1}{3}*3*\sqrt{7}=\sqrt{7}\\\\Perimeter=4*side=4*\sqrt{7}=4\sqrt{7} = 4* 2.6458 = 10.58[/tex]

Rectangle:

[tex]\frac{1}{4}\sqrt{100}=\frac{1}{4}\sqrt{10*10}=\frac{1}{4}*10=\frac{5}{2}\\\\\\Perimeter=\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}+\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}\\\\=\frac{5}{2}+8\sqrt{3}+20\sqrt{3}+\frac{5}{2}+8\sqrt{3}+20\sqrt{3}\\\\=\frac{5+5}{2}+(8+8+20+20)\sqrt{3} \\\\=\frac{10}{2}+56\sqrt{3}+\\\\=5+56\sqrt{3}\\\\=5+56*1.732=5+96.99=102[/tex]

What will the 15th term in the sequence be? 2.2, 4.4, 6.6, 8.8,

Answers

Answer:

30.30

Step-by-step explanation:

Just count up by 2 each time.

Natalie and her sister opened savings accounts at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account than her sister?

Answers

Answer:

5

Step-by-step explanation:

Natalie

100 + 10x

Her sister

25 + 25x

Where

x = number of months

Equate Natalie and her sisters equation

100 + 10x < 25 + 25x

100 - 25 < 25x - 10x

75 < 15x

Divide both sides by 15

x < 75 / 15

x < 5

At a music store, 8 CDs cost 32$. How much will 15 CDs cost at this store?

Answers

Answer:

$60

Step-by-step explanation:

First we have to find the default cost for a single CD.

8 ÷ 32

Divide.

8 ÷ 32 = 4

Now that we have the default cost, we have to find the price for 15 CDs.

4 x 15

Multiply.

4 x 15 = 60

32/8 = 4, therefore each CD costs $4. 4 x 15 = $60.

Find the missing number.
3 + 8 + 4 + 9 = (12 + ____) + 9

Answers

Answer:

3!

Step-by-step explanation:

Add 3+8+4+9, you get 24. 12+9=21. 24-21 is 3! So answer is 3!

Wayne notes that a distance of 120 km is represented by 6 cm on a map.
How would a distance of 300 km be represented on the map using the same scale?

Answers

Answer:15cm

Step-by-step explanation:

6x-2x=24 HELP PLSSSSSS

Answers

Answer:

x=6

Step-by-step explanation:

Basically since 6x and 2x have like terms you subtract the 2x from 6x.

6x-2x=4x

Then you divide 4 from 24.

4x=24

4x/4 = 24/4

x=6

Answer:

6x - 2x = 24

4x = 24

4x ÷ 4 = 24÷4

x = 6

Step-by-step explanation:

First of all subtract 2x from 6x which will give you 4x = 24

since you're finding x or want to make x the subject you are to divide both sides by 4, so

4x ÷ 4 will give you x, since both 4's will cancel out giving you x =, then you divide 24 by 4 also. 24 ÷ 4 will give you 6, so x = 6.

Very simple

How do you write –51. 6 as a mixed nuber

Answers

Answer:

-51 6/10 or -51 60/100

Step-by-step explanation:

Solve for y: 5x-4y=28

Answers

Answer:

y = [tex]\frac{5}{4} x - 7[/tex]

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

[tex]\frac{-4y}{-4} =\frac{-5x +28}{-4}[/tex]

y = [tex]\frac{5}{4}x -7[/tex]

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

Write a verbal statement that represents the expression 4+k​

Answers

Answer:

it would be 4k

Step-by-step explanation:

just add 4 and the k which gives you 4k

The sum of 4 and k
......

the sum of 1/11 and 5/11

Answers

Answer:

6/11

Step-by-step explanation:

1/11+5/11

Answer:

the sum of 1/11 and 5/11 is 6/11

Step-by-step explanation:

the sum would mean addition so

1/11 + 5/11

when adding fractions you don't add the denominator

so then you'd only add 1 + 5 which gets you 6

so 6/11

The mini muffin company bakes 1,872 muffins. The large mini muffin boxes hold a dozen muffins. How many large boxes are needed to package the muffins? I need help plzzzzzzzz

Answers

Answer:

156

Step-by-step explanation:

you can actually use a calculator for this.

1,872 muffins packaged into boxes that hold 12 muffins.

that means 1,872/12

which is 156

Answer:

it is 156

Step-by-step explanation:

Dominic is going to drive from his house to City A without stopping. Dominic's house is 300 miles from City A and he plans to drive at a speed of 50 miles per hour. Write an equation for D, in terms of t,t, representing Dominic's distance from City A t hours after leaving his house.

Answers

Answer:

D= −50t + 300

Step-by-step explanation:

Since Dominic lives 300 miles from City A, when he starts his trip (at time

t=0), his distance from City A must be 300 miles, meaning D=300 when

t=0, which is the y−intercept.

                                    (0,300) is a point on the graph

Since Dominic will drive 50 miles per hour, the Dominic's distance from City A decrease 50 miles for each hour of driving, making the slope of D equal to

−50.

                                                   Slope=−50

                                           

                          equation of the line: D= −50t + 300

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

Distance between Dominic's house and City A = 300 miles

Speed = 50 miles per hour.

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

Now,

We can see that,

At t = 1, D = 300 - 50 = 250 miles.

At t = 2, D = 300 - 100 = 200 miles.

Thus,

The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.

D = 300 - 50t

Where t= number of hours

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5


2x^3+4x-5 when x=3?

Answers

Answer:

61

Step-by-step explanation:

2(3)^3+4(3)-5

54+12-5

66-5

61

Any help on this maths question will be truly appreciated ​

Answers

Step-by-step explanation:

Hey there!

1. 》 (√5)^2*(√3)^2

Cancel sqrt and square.

[tex]5 \times 3[/tex]

= 15

2.

[tex] = { (\sqrt[ 3]{9} )}^{3} \times ( { \sqrt{30}) }^{2} [/tex]

Cancel sqrt and square and also cubeoot and cube.

[tex]9 \times 30[/tex]

= 270

Hope it helps....

Which vehicle has the better gas mileage? Explain your reasoning.

Answers

Answer:

Tesla because it has no gas

Oscar ordered food for a party.
Oscar ordered 4 trays of tacos for $65 each.
He also ordered 3 gallons of tea for $10.50 each.
The restaurant charges $25 for delivery of the order.
What is the total amount of money Oscar will pay the restaurant?
O A. $262.50
OB. $553.50
O C. $100.50
O D. $316.50

Answers

Answer:

100.50

Step-by-step explanation:

The answer is D, or $315.50.

Determine the equation of the line shown in graph:

Answers

Option A is correct answer, X = 3

Me ayudan por favor??
¿Qué tres números consecutivos suman 156?

Answers

Answer:51+52+53Step-by-step explanation:

De tal forma que los números son: 51-52-53. Comprobando estos tres números consecutivos enteros: 51+52+53=156.

espero que esto te ayude :)

Answer 51+52+53


Explanation

A cedar board is 2 inches long and 8 feet long. You will need to cut down the length of the board into 1 1/3 inches long. How many pieces can u cut from an 8 inch long board

Answers

Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

Solve for r:
3x + 2 = 11
11
O A
B. 3
Oc.
3
OD.
13
3
O E 6

Answers

Do you mean solve for x? Which is 3

Answer:

B

Step-by-step explanation:

3x + 2 - 2 = 11 -2

3x = 9

3x divided by 3 = 9 divided by 3

x=3

Use a proportion to convert the measurement. Round your answer to two decimal places.
175 centimeters=____inches

Answers

Answer:

68.89 inches

Step-by-step explanation:

2.54 cm/in

175 divided by 2.54

-4 5/1 as a simplified fraction?

Answers

The answer is 1/1 or 1

Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.

Answers

Credit To: "lublana" On Brainly For This Answer

Answer:

Given that one time charge of appartment "a" = $100

Given that monthly rent of appartment "a" = $400

say the number of months = x

then total cost of the rent for apartment "a" = 100+400x

Given that one time charge of appartment "b" = $500

Given that monthly rent of appartment "b" = $350

then total cost of the rent for apartment "b" = 500+350x

Now we have to make an inequality so that number of months it would take for the total paid to be less for apartment b.

that means 100+400x is less than 500+350x

Hence required inequality is 100+400x<500+350x.

Now we have to solve this inequality.

400x-350x<500-100

50x<400

divide both side by 50

x<8

hence final answer is number of months should be less than 8.

For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population wore their school colors?

Answers

Answer:

80%

Step-by-step explanation:

We are told that 1,200 students wore their school colors of green and white.

Also, we are told that 300 students did not wear school colours green and white.

Thus, total number of students = 1200 + 300 = 1500

Thus;

percent of the school population who wore their school colors is; (1200/1500) × 100% = 80%

3)A recipe calls for 1 3/4 cups of rice.
a) How many rice needed to make half the rice???
b) How much rice is needed to make two and one half times the recipe???

Answers

Answer:

A) 7/8 cups  B) 4 3/8 cups

Step-by-step explanation:

1 3/4 = 7/4

7/4 cut in half is 7/8

7/4 doubled is 7/2

7/2 = 28/8

28/8 + 7/8 = 35/8

35/8 = 4 3/8

Answer:

a) 7/8 cupsb) 4 3/8 cups

Step-by-step explanation:

Given

Full recipe = 1 3/4 cups of rice

1 recipe ⇒ 7/4 cups

a) half of the recipe

1/2 recipe  ⇒ 1/2*7/4 = 7/8 cups of rice

b) 2 and one half time the recipe

2 1/2 recipe = 5/2 ⇒ 5/2 * 7/4 = 35/8 = 4 3/8 cups of rice

HURRY PLZ JUST GIVE THE ANSWER WILL MARK YOU BRAINLIEST!!!

Answers

120°

180 - 130 = D = 50°

180 - (70+50) = 60°

then... 180 - 60 = 120°

Can you find the mistake?

Answers

Answer:

14b +64

Step-by-step explanation:

as listed above

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