MATHEMATICS MIDDLE SCHOOL

Find r if 3(r - 7) = 4(2 - 2r) + 4

Answers

Answer 1
Answer:

Answer:

r=3

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

Distribute

3r -21 = 8 -8r +4

Combine like terms

3r -21 = 12 -8r

Add 8r to each side

3r +8r-21 = 12 -8r+8r

11r -21 = 12

Add 21 to each side

11r -21+21 =12+21

11r = 33

Divide each side by 11

11r/11 = 33/11

r = 3
Answer 2
Answer:

Answer:

Step-by-step explanation:

3(r - 7) = 4(2 - 2r) + 4

3r+(-21)=8+(-8r)+4

-21+8+4=3r+(-8r)

-9=-5r

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What is the reciprocal of -3/7

Answers

Hi there, the reciprocal of -3/7 is 7/3. Explanation: Okay so, reciprocal means you flip the fractions, and the opposite of negative is positive, so we flip 3/7 and make it 7/3 and take of the negative sign
7/-3 is the reciprocal 

there are 266 students watching a play in the auditorium. there 10 rows with 20 students in each row and 5 rows with 8 students in each row. how many students r sitting in each of the two remainingrows if each of those row has an equal number of students ?

Answers

Let x = number of students in each of the remaining rows

266 = (10 x 20) + (5 x 8) + 2x
266 - (10 x 20) - (5 x 8) = 2x
266 - 200 - 40 = 2x
26 = 2x
x = 26/2
x = 13
10 x 20 = 200
5 x 8 = 40 

266 - (200 + 40) = 26

26 ÷ 2 = 13students

Samantha bought 4.5 pounds of pears. Each pound cost $1.68. How much did Samantha spend in all?

Answers

we just need to multiply the amount of pounds and the cost of each one of them, that is:
spent = 4.5*1.68
= 7.56
so she spent $7.56
Solutions 

Given -- 

1 pound = $ 1.68 

Calculations 

To find how much 4 pounds cost multiply by 4. 

1.68 x 4 = 6.72 

To find .5 divide 1.68 by 2 and add it to 6.72. 

1.68 ÷ 2 = 0.84 

6.72 + 0.84 = 7.56 

She spent $ 7.56 

Please help me with math, worth 10 points! :D

Answers

Distribute:5x+20-4x=18-23simplify:1x+20=-5subtract 20:1x=-25Answer x=-25

So I have a 80.98 B In my math class and on my test I scored a 100% what grade will I have when the test grade is put in? (test is worth 60% of overall grade) .13 Points!

Answers

Answer:

92.392% is your new grade

Step-by-step explanation:

jimmy and his family are on their way to visit some family friends who live 780 miles away from them.based on the route they chose they expect to complete their trip in three days. the distances and average speeds for the first two days driven are shown below. first day 4 hours at an averge speed of 60 miles per hour second day 6 hours at average speed of 65 miles per hour if the average speed on the third day is 60 miles pe hour how many more hours willit tak foe them to reach their family friends home

Answers

If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.


4 hours at 60 miles per hour = 4*60 = 240 miles

6 hours at 65 miles per hour = 6*65 = 390 miles


This is a total of 630 miles.  There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
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