Are the expressions 8a2 - 4b + 7a2 and 5(3a2 - 2b) + 6b equivalent? Explain your reasoning.

Answers

Answer 1

Answer:

Yes, The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent

Step-by-step explanation:

To answer the question you must simplify each expression, then compare them to find if they are equivalent or not  

∵ The 1st expression = 8a² - 4b + 7a²  

→ Add the like terms

∴ The 1st expression = (8a² + 7a²) - 4b

The 1st expression = 15a² - 4b

∵ The 2nd expression = 5(3a² - 2b) + 6b

→ Multiply the bracket by 5

∴ The 2nd expression = 5(3a²) - 5(2b) + 6b

∴ The 2nd expression = 15a² - 10b + 6b

→ Add the like terms

∵ The 2nd expression = 15a² + (-10b + 6b)

∴ The 2nd expression = 15a² + -4b

→ Remember (+)(-) = (-)

The 2nd expression = 15a² - 4b

∵ The 1st expression = The 2nd expression

∴ The two expressions are equivalent

The expressions 8a² - 4b + 7a² and 5(3a² - 2b) + 6b are equivalent


Related Questions

Jonas is doing a science experiment with his class. The teacher has 21 fluid ounces of pound water too share equally with 10 pairs of students. How much pond water will jonas and his science partner receive ? What is the answer as fraction and decimal?

Answers

Answer:

2.1 and 21/10

Step-by-step explanation:

PLEASE HELP ASAP!!! i’ll mark brainlest

Answers

Answer:

3

Step-by-step explanation:

It owuld be 3 cuz the least significant digit would be used to determine the precision right? So it would be 3!

which graph represents -10y - 5x = -15

Answers

Answer:

use the website desmos, and type in the equation.

i'll try to explain the line to the best of my ability, it should be a downward line with a slope of 1/2

Answer:it has a slope 1/2

Step-by-step explanation:slope 1/2

What is the equation of a line that passes
through (0.5, 4.25) and (2, 18.5) and has a
y-intercept of -0.5

Answers

Answer:y=9.5x-0.5

Step-by-step explanation:

Ok, so you need to use the equation y2-y1/x2-x1 to find the slope. So (18.5-4.25)/(2-0.5) so 14.25/1.5 , calculate that and you get 9.5 which is your slope, apply that to the slope formula which is y=mx+b where (m) is slope and (b) is y intercept and you get y=9.5x-0.5

PLEASE HELP ME I NEED ANSWER RIGHT NOS

Answers

yellow should be correct

How do I improve in dancing? I want to be a background dancer!

Answers

Answer: To improve your dancing, you could watch some dance tutorials, or play the game, Just Dance.

Step-by-step explanation:

You could consider taking a dance class or joining a program that deals with dancing! Work towards gaining flexibility (stretching every night) and you should definitely play just dance!!!!!!!

Solve 0 = 2y - 8x + 10 for y.

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

move the 2y to the left side of the equation and move the 0 to the right side of the equation in which it becomes -2y = -8x+ 10 then divide the whole equation by -2 since y cannot be negative and have a coefficient. so then the equation becomes y = 4x - 5.

I got this same 4x-5
Merry Christmas

Joaquin buys white shirts for $12 each. after he dyes and paints each shirt he plans to sell them at a 65% markup Joaquin wants to know the selling price of each shirt​

Answers

Answer:

1. 12+0.65(12)

2. 19.80

please help! Fill in the 4 blanks !

Answers

Answer:

cat bird train elephant

Step-by-step explanation:

5th grade math. Correct answer will be marked brainliest!

Answers

Answer:

No

Step-by-step explanation:

Think of the decimal number as 97. Would it round up or down? Because 7 is greater than 4, you would round it up to 100. And since this is a whole number, the correct answer would be 7 meters per second.

Hope this makes sense!

Plz help me answer this !!!

Answers

Answer:

24

Step-by-step explanation:

What is the volume of the cylinder
A. 725.34m
B. 1,995.7m
C. 7,978.74m
D. 15,232.14m

Answers

I’m not quite sure but do the formal PH+2B :)
B. 1,995.7m

Explanation:

Emily attends a Film Festival. The admission fee is $10. Each movie ticket cost $5 each. Emily wants to determine how many movie tickets she can buy if she has a total of $40 before she pays the admission fee.

Answers

Answer:

Emily can buy 6 movie tickets after paying the admission fee

Step-by-step explanation:

Let x be the number of movie tickets

If each movie ticket costs 5 dollars then the cost of x movies will be 5x

And the admission fee will be a constant.

She has $40 in total

So the equation can be written as

[tex]10+5x = 40\\5x = 40-10\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x = 6[/tex]

Hence,

Emily can buy 6 movie tickets after paying the admission fee

A card is randomly draw from a shuffled deck of cards and NOT REPLACED. A second card is drawn from the remaining shuffled cards. What is the approximate probability that both cards are RED?

Answers

The probability to draw a red card is 26 out of 52 cards, after the first card is drawn the probability of a new red card is 25 out of 51.

You have to multiply both probabilities because you want both events to happen.

P = (26x52)*(25x51)*100 = 24.5%

A smart phone was on sale for $585. If the phone
was marked down 35%, what was the original
price of the smart phone?
Please help I ASAP will mark you brainliest

Answers

Answer:

$789.75

Step-by-step explanation:

I'm just smart

Sara is saving her summer earnings for a $500 school trip in the fall. She has $200 in her savings account at the beginning of June. Each week, Sara deposits $35 into her savings account. Sara wants to know how many weeks she needs to deposit her money? Which inequality would tell her this?

Answers

Answer:she will need around 9 weeks and she will have enuogh

Step-by-step explanation:

9  

What is -8 minus blank = -2?

Answers

-(-6) is the answer so it should be -8 minus negative 6

Answer:

blank is -6

Step-by-step explanation:

-8-?=-2

+8     +8

-?=6

--- --

-1  -1

?=-6

PLEASEEEE HELP WILL GIVE BRAINLIST

Evaluate when f(x)= 5x-1 and x+3 when x=−2.

Answers

Answer:

f(x) = -11 and -1

Step-by-step explanation:

Legit plug in -2 into both equations lol. So plug in -2 for x, and get the answer from there.

Answer:

5x3−x2−5x+1 equal to 0.

5x3−x2−5x+1=0

Step-by-step explanation:

Intro to Proportional Relationships:Question 4
Which of the following best represents a proportional
relationship?
Select one:
A restaurant sells 3 desserts for $6.00 and sells 5 desserts for
$7.00
A drone flew 50 feet in 10 seconds and flew 75 feet in 15 seconds.
John scored 8 points in 12 minutes and scored 15 points in 20
minutes
.
A bird ate 20 seeds in 30 seconds and ate 15 seeds in 20 seconds.

Answers

Answer:

the answer is A

Step-by-step explanation:

Sarah bought a bike that cost $260. She had a
coupon that was worth $55 off the cost of any
bike. Use the expression 260 + (-55) to find how
much Sarah paid for her bike.
PLEASE HELP ME IM DESPIRATE

Answers

Hope this helps it shows the work meaning she paid $205

Last year, The tutoring center paid their tutors $40 per hour. This year, they payed them $46 per hour. What percent was the increase in pay?

Answers

Answer:

15% increase

Step-by-step explanation:

In order to solve this problem begin with finding the difference between the initial value and final value. [tex]46-40=6[/tex] then once this value is known divide it by the original value to get a decimal. [tex]\frac{6}{40}[/tex] which gives you [tex]0.15[/tex] multiplying this value by 100% will give you your answer. [tex].15 * 100 =[/tex][tex]15[/tex]%  

TLDR: the answer is 15%

Solve the system of equations-5x-7y=23and 3x+4y=12 by combining the equations

Answers

Answer:

Step-by-step explanation:

32

Answer:

x=8 and y= -9

Step-by-step explanation:

(-5x-7y=23)x3

(3x+4y=-12)x5

-15x-21y=69

15x+20y=-60

-y=9

y=-9

x=8

Roman and his friends went out to dinner at a local restaurant. His bill was $56.70. He decides to leave an 18% tip for the server. How much will Roman's total be once he adds the tip?
a-$10.20
b-$66.91
c-$74.70
d-$102.60

Answers

Answer: It would be B

Explanation: 56.70*.18= 10.20610.206+56.70= $66.906

Answer:

$66.91

Step-by-step explanation:

If you need to add 18% to the total of $56.70, then it's easier to multiply by 1.18 (118%).

$56.70 x 1.18 = $66.91

Lina is making a spreadsheet for an assignment. The spreadsheet, when completed, will be 191 lines long, and Lina has already completed 59 lines.

x + 59 = 191

How many lines does Lina have left to complete?
A. 250
B. 221
C. 73
D. 132

Answers

The answer is D. 132. you subtract 59 from 191 and you get 132
It’s A I hope it was helpful

Identifying the Property of Equality
Quick
Check
Identify the correct property of equality to solve each equation.
3 + x = 27
X
6
= 5

Answers

Answer:

3 + x = 27 x= 24

30/6 = 5

Step-by-step explanation:

6x5 = 30

27-3 = 24

Answer:

Subtraction Property of Equality with 3

multiplication property of equality with 6

Step-by-step explanation:

just did a test on edge and got a 100%

please help,, will mark brainliest!!

Answers

Answer:

sorry thats too hard for me

Step-by-step explanation:

75% of the normal price of headphones is 45$. What's the normal price?

Answers

Answer:

60$ is the normal price.

Why:

Because if 45$ is 75%, then 30$ is 50%, 15 is 25%, and 0 is 0%. 50% + 50% = 100%. (That's how I did this one, anyway. This works on any 25%, 50%, or 75% problem.)

Jacinto está cercando un terreno de forma rectangular. Cuando lleva puesto alambre a dos lados consecutivos de la tierra, se da cuenta que ha gastado 170 m de alambre. Si sabe que la diagonal del rectángulo mide 130 m, ¿cuáles son las dimensiones y el área del terreno?

Answers

Answer:

Step-by-step explanation:

Given the perimeter of the rectangular shape = 170m

Length of the diagonal = 130m

Perimeter = 2L + 2W

diagonal d² = L² + w²

L is the length of the terrain

w is the width

140 = 2L + 2W

70 = L+W ..... 1

130² = L²+w² ..... 2

from 1, L = 70-w

substitute into 2;

130² = (70-w)²+w²

130² = 4900-140w + 2w²

16900 = 4900-140w + 2w²

2w²-140w - 12000 = 0

w²-70w - 6000 = 0

On factorizing;

(w+50)(w−120) = 0

w - 120 = 0

w = 120 m

Since L = 70 - w

L = 70 - 120

L = -50m

Hence the dimension is 120m by 50 m

what is c=(s+b/4) solve s?

Answers

Answer:

s =c-b/4

Step-by-step explanation:

this is what i think you wanted

For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?
A 2 and one-half hours
B 3 hours
C 4 hours
D 4 and one-half hours

Answers

Answer:

B. 3 hours

Step-by-step explanation:

It’s 6+8x=30

Answer:

B) 3 hours

Step-by-step explanation:

Hope this helped <333

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