Mathematics Middle School

solve for r: q = p(r + s)

Answers

Answer 1

Answer:

[tex]r=\frac{q-ps}{p}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASEquality PropertiesDistributive Property

Step-by-step explanation:

Step 1: Define equation

[tex]q=p(r+s)[/tex]

Step 2: Solve for r

Distribute p: [tex]q=pr+ps[/tex]Subtract ps on both sides: [tex]q-ps=pr[/tex]Divide both sides by p: [tex]\frac{q-ps}{p} =r[/tex]Rewrite: [tex]r=\frac{q-ps}{p}[/tex]

Answer 2

Step-by-step explanation: To solve for r, start by distributing the p

through the parentheses on the left side to get q = pr + ps.

Next, isolate the r term by subtracting ps from both sides to get -ps + q = pr.

Finally, to get r by itself, divide both sides by p and we have -ps + q/p = r.

Related Questions

Look at the picture and answer the question correctly.

Answers

Answer: This would be written in scientific notation which would be 5 x 10 ^ 4.

Each pair of points lies on a line with the given slope. Find y.

Answers

Answer:

3/4

Step-by-step explanation:

If slope is 1/4, you have to assume it is multiplied by x. x in the second coordinate is 3. So you place in

1/4(x)=y

1/4(3)=y

3/4=y

And the other one is incorrect

1/4(x)=y

1/4(7)=y

1 3/4 =y

Hope This Helps

A fruit basket contains only apples and bananas. If there are 8 apples and 13 bananas, what is the ratio of bananas to fruit? Select all that apply. 13:8

Answers

Answer:

The ratio of bananas to total fruit is 13:21

Step-by-step explanation:

Since we already know the amount of apples and pears, we can find the total. 13+8=21, and since we know the number of pears, 13, we can say that the ratio is 13:21.

Answer: 13:21

13:21 is the correct answer I hope it helps

1/2(12w+8) -1/5(10w-5) find the difference

Answers

1/2(12w+8) -1/5(10w-5) = 4w + 3 or 4w + 5

( im kinda confused on this myself)

Answer: 4w + 5
(extra characters)

Find the slope...........

Answers

First thing to do is find out the coordinates of two points on the graph (I will use the ones that have been marked by the red dots):

Point A: (3, -1)
Point B: (1, 2)

Then we will use the slope formula to work out the slope:

y₂ - y₁ / x₂ - x₁

Substitute in our points:

2 - (-1) / 1 - 3

Then we work out the expression (remember a negative and a negative make a positive!):

3 / -2

Then we check if we can simplify this fraction, which in this case we cannot.

Therefore the slope of that line would be:

3 / -2

(remember to write it as a fraction!)

The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.

A) 5 meters
B) 8 meters
C) 10 meters
D) 12 meters

Answers

X=5

Explanation:

If the triangle on the rights perimeter is 24 and two of the lengths are 8 then we know 8+8=16 24-16=8 8/2=4
So the triangle on the right has the numbers 8 and 4 as it’s length and width

So then you would find out how much it was dilated to get from 30 to 24
30/24 and you get 1.25 so you multiply 4 by 1.25 and get 5, and then to double check you can multiply 8 by 1.25 and get 10 then add it all together
5+5+10+10=30 so you know that’s correct.

Help me pls
In Ocean City, MD a seagull is flying at 210¾ ft. above sea level and a dolphin is swimming at 329¼ ft. below sea level. What is the distance between the seagull and the dolphin?

Answers

540 because if you add 329 1/4 and 210 1/4 it’s 540. You add these together because you need to know the COMBINED distance between the dolphin and seagull.

Can i get some help please

Answers

2/11 is the answer for b

In a class of 42 students, 18 students are in the Math Club, 5 students
are in both the Math Club and the Science Club, and 14 are in neither. How many
students are in the Science Club?

Answers

Answer:

15 maybe?

Step-by-step explanation:

42 - 14 = 28

18 - 5 = 13

28 - 13 = 15

subtract the 14 because it says it is in neither.

Subtract 5 from 18 because 18 are in math and only 5 are in both math and science.

Subtract 13 from the 28 because those 13 are in math and wont be in science also.

15 that first guy said

quick!!! :

whats 5 + 204 times pi

Answers

Answer:645.8849

Step-by-step explanation:

Answer: 645.8849

Step-by-step explanation:

There are 9 people going on a trip. They purchased coach tickets for $160, and first class tickets for $1180. The total budget to spend was $4500. How many first class tickets did they buy? How many Coach tickets did they buy? Show your work.

Answers

Answer:

Step-by-step explanation:

Given

There are 9 people going on a trip

They purchased coach tickets =$160

first class tickets =$1180

total budget to spend = $4500

Let coach tickets=X

So first class tickets=9-x

160x+1180(9-x)=4500

160+10620-1180x=4500

160x-1180x=4500-10620

-1020x=-6120

X=6120/1020

X=6

So answer

Coach tickets=X=6

First class tickets=(9-x)

=3.

what is the function of
{(-6,4), (5,-1), (0,3), (-2,4)}

Answers

Answer:

The inverse of f (x) = {(3,2), (5,4), (6,-2), (-5,1)} (function)

Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to its resting place, the cheetah travels an average of 70 mph. If the cheetah traveled for 15 minutes, how many minutes did the return trip take to the nearest minute and second?
Set up the table as follows. Label the rows “To the River” and “From the River.” Label the columns “Distance,” “Rate,” and “Time (in Hours).” Let t represent the unknown quantity in the problem. Fill in the table.

Answers

Answer:

9.55 minutes

Step-by-step explanation:

x hours to go to the river

0.25-x hours to come back, since 15 minutes is 0.25 hr.

to the river 40 mph * x hours =40x miles

from the river 70 mph (0.25-x) hours=17.5-70x

those two are equal

40x=17.5-70x

110x=17.5

x=17.5/110=0.159 hours

9.55 minutes

Kevin went to see his favorite sports team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of gas, how many miles did he travel?

(answer this and show your work)
Kevin traveled _answer here_ miles.
(Type an integer or a decimal.)

Answers

Answer: 120

120

Step-by-step explanation:

I honestly can’t explain but I think you have to do this (actually I did the work so I’m right)

P/w = part/whole = ?/400

%/100= percent/100 = 30%/100

These numbers are equivalent

If you don’t understand the top then here is how to do the work-

400x30=12000

12000/100=120

Therefore it’s 120

Slope-intercept form
find out the y intercept and slope

Answers

Answer:

18. Slope (m) = 1/2

Y-intercept (b) = -6

19. Slope (m) = 2

Y-intercep (b) = 8

20. y = 1/2 + 6

Step-by-step explanation:

y = mx + b

y - 2x = 8

y = 2x + 8

18.slope (m) = 1/2
Y - intercept

Which number line models the solution set of -2x + 7 > 17?

Answers

Answer:

Last option

I hope this helps!

Last one is the answer i hope i am right

Help plz ............

Answers

Answer:

i think it is B.

Step-by-step explanation:

Pretty sure the right answer would be B

help asap plz i need specific answer

Answers

Answer: 6

rises by 6

it runs by 1

so 6/1= 6

I hope this is good enough:

it rises by 6 and runs by 1

so 6/1=6

Please help me. Which statements describe true relationships? Check all that apply.

Answers

Answer:

3 and 4

Step-by-step explanation:

proportionally it is the same shape and 2/1 is 2 so that's your scale factor

Answer: 1,3,4

Step-by-step explanation:

help please!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

18. slope =1/2 y-int= -6

19. slope=2 y-int= 8

Step-by-step explanation:

The slope for number 18 would be 1/2 and the y intercept would be -6

The slope for 19 would be 2 and I cannot see the picture of the intercept correctly, but I’m assuming it is 6

Mrs. Kelly bought a bag of flour that holds 1623 cups of flour. Each loaf of banana bread uses 23 cup of flour.

How many loaves of banana bread can she make?

Answers

Answer:

69 loaves

Step-by-step explanation: (Sorry if you don't understand I am not that good at explaining)

First you need to divide 1,623 by 23 because each loaf is 23 cups of flour.

So 1,623 divided by 23 equals 70.56 but you can't have a fractioned number so it needs to be a whole loaf of bread so she can make 69 loaves of bread

Answer:
70.57 loaves of banana bread
Explaintion:
1,623 ➗ 23 = 70.5652173913043
Rounded: 70.57

Which number line plots the integers –2, 3, and 4?
A number line going from negative 5 to positive 5. Points are at negative 3, negative 2, and 4.
A number line going from negative 5 to positive 5. Points are at negative 4, negative 3, and 2.
A number line going from negative 5 to positive 5. Point are at 2, 3, 4.
A number line going from negative 5 to positive 5. Points are at negative 2, 3, 4.
Mark this and return

Answers

Answer:

A number line going from negative 5 to positive 5. Points are at -2, 3, 4.

Step-by-step explanation:

I did this my head

Answer:

D. A number line going from negative 5 to positive 5. Points are at negative 2, 3, and 4.

Step-by-step explanation:

It restates that the points are at -2, 3, and 4, like the question.

2 questions- Please help

Answers

Dhajajqkkaqko1232sndcnj

For the second one the answer is. The line y = 4 is a horizontal line. A perpendicular line will be a vertical line the form
x = constant so the equation is

x = -2

Pa help po plssss
Letter B,C po plss

Answers

it’s b because you add 4 and there you go hope this
helps

It think is b but I’m not sure

Can somebody help me with this please

Answers

I think the answer to 1 is Friday

number 4 is monday, tuesday, and probably wednesday

Could someone please find the rate and y-intercept for these two points? (2,2) and (3,4) the help would be greatly appreciated!!

Answers

First use a formula to find rate of change
so a formula most commonly used is (y^1-y^2)/(x^1-x^2)

m= (y^1-y^2)/(x^1-x^2)
=m=(4-2)/(3-2)
=m=2/1
2/1 can also be expressed as just 2 since anything divided by 1 is just itself

Now use the formula y=mx+b to find the y intercept

use either of your two given point to susitute y and x

y=mx+b
Substitute your values
=(4)=(2)(3)+b
Calculate
=4=6+b
Subtract both sides by 6
=-2=b

Therefore the rate of change is 2/1 and the y-intercept is -2

Please help!!! Will try my best to give brainliest!!!!

Find the GCF of n 3t ^2 and nt 4.

n ^3t^ 6

n ^3t ^4

nt ^2

n^ 4t^ 6

Answers

Answer: nt ^ 2
:))))

Answer:

for this question is nt^2 or C

Step-by-step explanation:

Sarah thinks that the
following expressions are
equivalent:
2x + 3 = x/2+ 3/4
Is she right? If so, prove
that these two expressions
are equivalent. If not, what
error(s) did she make?

Answers

No they are not correct, 3/4 is not equal to 3

No Sarah is not correct. If you replace x with 1, the first equation would equal 5, but the second equation would equal 1. In addition, when she tried to do the inverse operation, she did the inverse operation on the factors, not the operation.

Can someone help me with this math question?

Answers

The answer is G because the graph is proportional since the rate is constant

Answer: F the graph shows a proportional relationship

Plz Answer This Mathematics Question??? NEED HELP ASAP

Answers

Answer: The answer is 1.00001 meters long

Step-by-step explanation:

Answer:

2 × 10 to the power of -6

Step-by-step explanation:

hope this helps :)

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