Add the algebraic expressions.

a. -6p²+8q² - 2pq- 5 and 2p² -3q² -2pq+3
b. 5x+6y and -8x -3y

Grade8

Answers

Answer 1

Answer:

a: -4p² + 5q² - 4pq - 2

b: -3x + 3y

Step-by-step explanation:

When we combine like terms, we get:

(-6p²+8q² - 2pq- 5) + ( 2p² -3q² -2pq+3) = -4p² + 5q² - 4pq - 2

Therefore, the simplified expression is -4p² + 5q² - 4pq - 2.

Next:

(5x+6y)+ (-8x -3y) = 5x - 8x + 6y - 3y

Combining like terms gives us:

5x - 8x + 6y - 3y = -3x + 3y

Therefore, the simplified expression is -3x + 3y.


Related Questions

PLEASE TELL ME WHAT"S THE ANSWER AND SHOWM E HOW YOU GOT THE ANSWER

Answers

12/6

Step by step
12 divided by 2= 6

Please help!!!!! 40 points!
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.

Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4

Josiah’s work:

StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

Answers

Answer:

Step-by-step explanation:d

Division problem: Jojo has 2 days to get ready for a trip to Washington State. She has 200 items to bring and 4 suitcases. How many items should she put into each suitcase?

Answers

Answer:

50 in each case

Step-by-step explanation:

200÷4=50

50 items in each case

50 in each case.
200/4= 50

The point (−8, −10) was reflected over an axis to (8, −10). Which axis was it reflected over? Explain.

x-axis, because the x-coordinate is the opposite
x-axis, because the y-coordinate is the opposite
y-axis, because the x-coordinate is the opposite
y-axis, because the y-coordinate is the opposite

Answers

Answer:

y-axis, because the x-coordinate is the opposite

The point has been mirrored over the y axis (vertical).

y-axis, because the x-coordinate is the opposite

What is the product of 5 1/2 and 3 3/4?

A. 22 3/8

B. 21 1/4

C. 20 5/8

D. 15 3/8

Answers

C:

5 1/2 * 3 3/4 = 165/

8

= 20 5/

8

= 20.625

Conversion a mixed number 5 1/

2

to a improper fraction: 5 1/2 = 5 1/

2

= 5 · 2 + 1/

2

= 10 + 1/

2

= 11/

2

To find a new numerator:

a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/

2

= 10/

2

b) Add the answer from the previous step 10 to the numerator 1. New numerator is 10 + 1 = 11

c) Write a previous answer (new numerator 11) over the denominator 2.

Five and one half is eleven halfs.

Conversion a mixed number 3 3/

4

to a improper fraction: 3 3/4 = 3 3/

4

= 3 · 4 + 3/

4

= 12 + 3/

4

= 15/

4

To find a new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from the previous step 12 to the numerator 3. New numerator is 12 + 3 = 15

c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters.

Multiple: 11/

2

* 15/

4

= 11 · 15/

2 · 4

= 165/

8

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(165, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eleven halfs multiplied by fifteen quarters is one hundred sixty-five eighths.

Rewrite as a quotient of two common logarithms. Write your answer in simplest form. [tex]log_ {9} 7=[/tex]

Answers

log 97 is the answerrr

what is the surface of this sphere with a radius of 10 mn

Answers

Answer: The surface area of a sphere with a radius of 10 in is 400π square inches.

Step-by-step explanation:

The formula for surface area of a sphere is 4pi(r)sq, where r stands for radius. Feel free to clarify if you have any questions!

Write the prime factorization of 1008 and 1323. Then
reduce 1008/1323

Answers

Answer:

The prime factorization of 1008 is:

1008 = 2^4 × 3^2 × 7

The prime factorization of 1323 is:

1323 = 3 × 19 × 23

To reduce 1008/1323, we need to simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). To find the GCF of 1008 and 1323, we can use their prime factorizations. The only common prime factor they share is 3, so the GCF is 3.

1008/1323 = (3 × 336)/(3 × 441) = 336/441

We can simplify this fraction further by dividing both the numerator and denominator by 7, which is the GCF of 336 and 441.

336/441 = (7 × 48)/(7 × 63) = 48/63

Finally, we can simplify this fraction by dividing both the numerator and denominator by their GCF, which is 3.

48/63 = (3 × 16)/(3 × 21) = 16/21

Therefore, 1008/1323 simplified is 16/21.

Step-by-step explanation:

how do i do this? pls help

Answers

Answer:

The locus of the points within rectangle ABCD that are closer to A than to B and closer to D than to C.

May be the answer

Hope this helps

Just studied Loci in school recently

i really need help please

Answers

Answer: -10, -7, -5, -3, -2.1, -2.01, -2.001.

Step-by-step explanation: The numbers you need to pick, have to be less than -2. -10, -7, -5, -3, -2.1, -2.01, and -2.001, are less than 2. -2, -1.999, -1.99, -1.9, -1, 1, 3, and 6, are all greater than 2, so they won't fit the equation.

help me math is soo hard

Answers

Answer:

x=14

Step-by-step explanation:

80+58=138

180-138=42

42÷3=x

14=x

answer: x=14

Answer:

answer=x=14

Step-by-step explanation:

The sum of three intereror angles is equal to =180

now; 3×14=42

so;80.+58=138

138+(3×14)

138+42 =180

Follow the steps below for the following set of data. In your final answer include all of your calculations and in steps 1, 2, and 3.

8, 3, 5, 5, 4, 7

Answers

Answer: 3,4,5,5,7,8

range=3

Step-by-step explanation:

please help math sucks

Answers

Answer:

w<13

Step-by-step explanation:

w<13 means that 13 is bigger than w and w is smaller than 13

The answer is because they width aka w is less then 13 so how I learned this was thinking of < as a mouth is the person going to want more food or less food? It would want more food making the answer be w < 13

help I'm not sure what the answer is.

Answers

Answer:

I think it's b 433.75

Step-by-step explanation:

I added 18.75 + 15 = 33.75 + 400 = 433.75

PLEASE HELP WILL GIVE BRAINLIEST!--

What value of y makes the equation true?

3(2y + 3) = 9y - 15

Answers

Answer:

8

Step-by-step explanation:

First, distribute the 3 on the left side of the equation:

6y + 9 = 9y - 15

Next, move the variables to one side of the equation and the constants to the other:

6y - 9y = -15 - 9

Simplifying the left side:

-3y = -24

Finally, solve for y by dividing both sides by -3:

y = 8

Therefore, the value of y that makes the equation true is 8.

your answer will be y=8

Due soon, pls help, will give brainly and points, useless get reported.

Answers

Answer:

A. 100.48

Step-by-step explanation:

2(pi) 16

c= 2pi(radius)

The answer is 100.48 because:
2 x 3.14 which is 16 (PI= 3.14)

C= 2PI(radius)
That should give the answer

What are the areas of these shapes?

Answers

Answer:

The first one is 60. The second is 18

Step-by-step explanation:

Darla has a recipe for pot roast. There is a proportional relationship between the weight (in pounds) of the pot roast, x, and the total cooking time (in hours), y. Her recipe says that a 6-pound pot roast should take 3 hours to cook.

Answers

I do not know and I do not care 60
Y=0.5x
If darlas pot roast weighs 4 pounds then it will take 2 hrs to cook

the total number of spikes in the antlers of three male elks is 32. the oldest elk has four times as many spikes as the youngest elk. the second oldest elk has eight spikes more than the youngest elk. how many spikes does each elk have in their antler?

Answer as an X equation and find the X

Answers

Answer:

the oldest elk=4(x)

second oldest elk=x+8

youngest elk=x

total spikes=32

4x+x+8+x=32

6x+8=32

6x=32-8

6x/6=24/6

x=4.

the oldest elk =4(4)=16

Step-by-step explanation:

the youngest elk=4

the second oldest elk=4+8=12

16+4+12=32

Rima’s age is 10 years less than twice her father’s age.What is the difference bettwen their ages?


Grade#7

Answers

Answer:

x-10

Step-by-step explanation:

let her father be x

then

rima's age is 2x-10

X-10

Rima: 2x - 10

10 = 10 years less

2x = twice rimas fathers age

There are x students in Mrs. Sproul's class, 4 fewer than twice as many as are in Mrs. Puccio's class. If there are y students in Mrs. Puccio's class, then what is the value of y in terms of x?

Answers

Answer:

y= (X x 2) - 4

Mrs.Puccio class = double of Mrs.Sproul's class - 4 students

The answer you are looking is y=(x*2-4

An account earns simple annual interest.

$925 at 2.3% for 2.4 years

a. Find the interest earned.

$

b. Find the balance of the account.

Answers

Answer is
A. $51.06
B. $976.06
The first answer is 51.06$
The second answer is 976.06$

the linear function y = 5x + 6 represents the cost in dollars , "y" , for a person to bowl "x" games at a bowling alley. what is most likely represented at the y-intercept of this function?

A. The y- intercept is the cost of a large drink.
B. The y- intercept is the cost per hour to bow..
C. The y- intercept is the cost of a one time fee for renting bowling shoes.
D. The y- intercept is the number of games bowled.

Answers

The answer is c because it is a one time fee because you only need one pair of bowling shoes to bowl all of the games

A steak costs $4 more than a hamburger, and a hamburger costs $4 more than a grilled cheese sandwich. If six grilled chees sandwiches cost 2x dollars, how much will 4 steaks and 2 hamburgers cost?

(I understood this question but I don't know why I am keep getting the wrong answer lol)

Answers

Answer:

6(x/3)+ 40= 2x+ 40.

Step-by-step explanation:

Let "C" be the cost of a grilled cheese sandwich.

"A hamburger costs 4 more than a grilled cheese sandwich" so a hamburger costs C+ 4.

"A steak costs 4 more than a hamburger" so a steak cost (C+ 4)+ 4= C+ 8.

"If 6 grilled cheese sandwiches cost 2x dollars" then 6C= 2x so C= 2x/6= x/3.

"how much will 4 steaks and 2 hamburgers cost?"

One steak cost C+ 8 so 4 steaks cost 4(C+ 8)= 4C+ 32. One hamburger cost C+ 4 so 2 hamburgers cost 2(C+ 4)= 2C+ 8. Together that would be 4C+ 32+ 2C+ 8= 6C+ 40.

Since C= x/3, 4 steaks and 2 hamburgers cost 6(x/3)+ 40= 2x+ 40.

1. Last month, Lucy and Britney each read three books. The tables show the number of pages in each book and the time it took Lucy and Britney to read each book. Which of the tables, if any, represent a proportional relationship?

A) Lucy's table represents a proportional relationship.

B) Neither Lucy's nor Britney's tables represent a proportional relationship.

C) Both Lucy's and Britney's tables represent a proportional relationship.

D) Britney's table represents a proportional relationship.


2. Which statement is TRUE?

A) The constant of proportionality for Lucy's table is 26.

B) The constant of proportionality for Britney's table is 26.

C) The constant of proportionality for Lucy's table is 28.

D) The constant of proportionality for Britney's table is 28.

Answers

C is the right answer
The answer to both of them is A

Daksha would like to save at least $500 in 12 months. What is the minimum amount she must save each month in order to save at least $500?


would you write an inequality or an equation?

Answers

Answer: what the minimum amount she must save each month in order to save at least $500 is over $200 dollars

Step-by-step explanation: Because if you would have to add the 500 and the 12

The answer will be the amount divided by time
500/12
41.66(rounded to two decimal points)

If line segment AB is dilated with a scale factor 0.75, what is the length of the new line segment A'B'?

A) 15 cm
B) 7.5 cm
C) 12.5 cm
D) 5 cm

Answers

The answer to your question is letter B
the answer is b 7.5 cm

PLEASE HELP THIS IS URGENT
Look at the diagram

Which equation can be used to solve x?
A. 2x = 140
B. 3x - 1 = 140
C. 3x + 139 = 180
D. 3x - 141 = 180

Answers

A= 70
B=47
C= 41/3
D= 107

Answer:

A= 70

B=47

C= 41/3

D= 107

Step-by-step explanation:

The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?
PLEASE ANSWER QUICKLY

Answers

Answer:

(3,3)

Step-by-step explanation:

and you basically flip the (-3,3) cordnet

(3,3) is the answer to your question

A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37°, 53°, and 90°. To create the actual sign shown, the drawing must be dilated using a scale factor of 50.

Part 1 out of 4
Find the lengths of the sides of the actual sign.
__ cm, ___ cm, ___ cm

Answers

Answer:
The actual length is 6*40=240 cm, 8*40=320 cm, 10*40=400 cm. And the angle measures of the actual sign will not change. The transformation can be turning over using the hypotenuse as axle. Or rotate the triangular sign 180° using the center of the triangle as the center of rotation. The turning over method will accomplish.
Step-by-step explanation:
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