Mathematics Middle School

solve for M

5 + 2m = 3 + m

m = ??

Answers

Answer 1
m=-2

5+2m=3+m
-m -m ( subtract m from both sides
5+m=3
-5 -5
m=-2
Answer 2
   5 + 2m = 3 + m
       - 2m        - 2m
---------------------------
   5 = 3 - m
  -3  - 3
----------------------
   2 = -m
 -----  ------
  -1     -1

m = -2

Related Questions

Alvin’s family used 20.5 gallons of gas to Drive 492 miles. How many miles did they drive on each gallon of gas

Answers

Since they use 20.5 gallons in 492 miles you need to divide 492/20.5 which gives you 24

Answer: 24.0

Step-by-step explanation:

divide 492 and 20.5

a rectangle prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units?

Answers

SA: 2(w × l + h × l + h × w)    w = 2, l = 6, h = 4

SA: 2(2 × 6 + 4 × 6 + 4 × 2)

SA: 2(12 + 24 + 8)

SA: 2(36 + 8)

SA: 2(44)

SA: 88

hope that helps, God bless!

Surface area of the rectangle prism is 88 sq. units.

Given:

height of the rectangle prism (h) = 4 units

width of the rectangle prism (w) = 2 units

length of the rectangle prism (l) = 6 units

Recall:

Formula for surface area of a rectangle prism is:

[tex]SA = 2(lw +wh +lh)\\[/tex]

Plug in the values:

[tex]SA = 2(6\times 2 +2\times4 +6\times4)\\SA = 2(12 + 8 + 24)\\SA = 2(44)\\SA = 88[/tex]

Therefore, the surface area of the rectangle prism is 88 sq. units.

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Write the sentence as an inequality.
Seven is at most the quotient of a number d and 5.

Answers

answer will be 7≤ d/5
answer: 7≤ d/5
hope this helps:D

plz give brainiest

Elena drove 245 miles last week & 222 miles this week.she estimated that she drove about 475 miles bin both weeks.how did she estimate

Answers

she add both of her miles together 

Answer:

This estimate is based on the addition of both the miles of both weeks by rounding them off.

Step-by-step explanation:

Elena drove 245 miles last week & 222 miles this week.

She estimated that she drove about 475 miles in both weeks.

This estimate is based on the addition of both the miles of both weeks by rounding them off.

245 is rounded to 250

222 is rounded to 225

Now adding both [tex]250+225=475[/tex] miles.

What’s 28.2% of 92
Plz and thank you

Answers

28.2/100 = x/92

Multiply 92 by 28.2

2594.40

Then divide by 92

28.2

28.2% of 92 is 28.2

Hope this helps!

The value of given percent 28.2% of 92 is equal to 25.94

To calculate 28.2% of 92,  follow these steps:

Convert the percentage to a decimal by dividing it by 100. In this case, 28.2% becomes 0.282 (28.2 ÷ 100 = 0.282).

Multiply the decimal by the number you want to find the percentage of. here, 0.282 multiplied by 92:

0.282 ×92 = 25.944

Round the result to an appropriate number of decimal places. In this case, we'll round it to two decimal places:

28.2% of 92 is approximately 25.94.

Therefore, 28.2 percent of 92 is equal to 25.94.

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A road sign gives drivers information about traffic on busy highways. One sign shows "15 miles in 20 minutes". What is this speed in miles pee hours?

Answers

First of all you need to work out 20 minutes in hours, this can be done by dividing 20 by 60:
20/60 = 1/3

Then you need to divide 15 by 1/3 to get the final speed:
15 / 1/3 = 45 miles per hour


He will need to be traveling at 45 miles per hour,
Hope this helps! :)
15/20 = mph/60

60 x 15 = 20 x mph

900 = 20 x mph

900/20 = mph

45mph is your answer.

there was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get

Answers

Each person gets 1/9 of the pizza

Hope this helps!
Hello There!

[tex] \frac{2}{3} [/tex] x [tex] \frac{1}{6} [/tex] = [tex] \frac{2}{18} [/tex]
You can simplify that to
[tex] \frac{1}{9} [/tex]

Hope This Helps You!
Good Luck :) 

- Hannah ❤

write each fraction or mixed number as a decimal.
1. 7/8 2. 7/15 3. 4 3/25

Answers

1.7.8
2. 7.15
3. 103.25

Write a multiplication problem using two 2 digit factors with a resulting product that falls between 7,000 and 8,000

Answers

80 x 90 = 7200
81 x 90 = 7290
82 x 90 = 7380



The multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that:

The number are 7,000 and 8,000

Let A and B be the two-digit number with a resulting product that falls between 7,000 and 8,000:

Let two numbers are:

81 and 90

The product of the numbers:

81x90 = 7290

The product of number falls between 7,000 and 8,000.

Thus, the multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.

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If 2/3 out of 3/3 of the pie is eaten what fraction remains

Answers

3/3 - 2/3 = 1/3 of the pie is left.
2/3 out of 3/3 is eaten

3/3 - 2/3 = 1/3

1/3 remains 

hope this helps

How many one thirds are in 7 halves?

Answers

Hello!

Here's how to solve this question without the use of a calculator.

[tex] 7 \times { \frac{1}{2} } = { \frac{7 \times 1}{2} } = { \frac{7}{2} } [/tex]

7/2 ÷ 1/3 = ?

Change division to multiplication.

[tex] { \frac{7}{2} } \times { \frac{3}{1} } = { \frac{7 \times 3}{2 \times 1} } = { \frac{21}{2} } [/tex]

21/2 = 10.5 ≈ 10 (rounded)

Thanks for posting your question in the community :)

PLEASE HELP!

Is it possible for a number to be a rational number that is not an integer but is a whole number? Explain

Answers

Every whole number is a rational number: for example, 3=31. So it is rational. Every whole number n can be written as a fraction of integers: n=n1. We aren't required to write it that way; we just need to know that it is possible to express every whole number as a fraction of integers, and hence it is rational.

Can you help me for 8 and 9

Answers

8) terminating
9) repeating
9) a repeating decimal has one or more digits that repeat forever
8) a terminating decimal has a final digit

hope this helps

Given the following system of equations, identify the type of system. x + y = 4 x - y = 6

Answers

The following system of equations,  x + y = 4 x - y = 6 represents an Independent System.

What is the equation?

A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.

When there is only one solution, a set of linear regression is persistent and independent. The diagrams of the platform's lines intersect at precisely one spot if this is the case. If a set of linear equations would have no resolutions, it is inconsistent. There is only one solution pair for an autonomous state (x,y). The sole solution is the intersection of the two lines. A system that is incongruous cannot be fixed.

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A sketch of the line 2y-x=4 is shown.
The line cross with the axes at A and B.
Calculate the coordinates of A and B
Thank you.

Answers

 solution a, e M, is uniquely defined by the inequality (A'an – f', '' – an) < 0 ... Vane M, x, e M. (6.1.9) It is possible because a, e X, and a € X, Since M, C M for all n > 1, the sequence {a}} is compact, hence, there exists ¥ € M such that a' – 30 as n ... M = {a e X | p(x) = 0}, where b : X → R is a convex and continuous functional.

write three equivalent ratios for 10/12

Answers

10 to 12

10/12

and 

10:12


i hope this helps =)
5/6

20/24

30/36.


I interpreted the question this way:)

What is 0.1 repeating as a fraction

Answers

i believe the answer would be 1/9

1/9

Short Cut That My Teacher Taught Me :)

0.1 repeating has 1 digit repeating after the decimal point, so there is one digit in the denominator. Put the repeating digit in the numerator place. That's your answer. You can do the same to any repeating decimal: 2 digits after the point has 99 as the denominator, 3 digits is the repeating number over 99, and so on. 

The population in the South in 2000was 100,236,820. In 2010 the population increased by 14.3% from 2000. How many people live in the south in 2010

Answers

First get the percentage of increase by changing 14.3 percent to a decimal and multiplying 100,236,820  by .143

100,236,820 x .143 = 14,333,865

Now add 100,236,820 by 14,333,865 
100,236,820 + 14,333,865 = 114,570,685

the graphs of two different direct variations can be parallel

Answers

False, because the two functions would have different slopes.

If the unit selling price is 2.50 and the unit cost is 1.00 what action is needed to maintain the gross margin percentage when unit cost increase 0.25

Answers

The original gross margin is (2.50 / 1.00) - 1 = (2.5 - 1) = 1.5  =  150%

the cost increases 0.25, is an increase of (0.25 / 1.00) = 25%

  in order to keep the same gross margin, you need to increase the sale price by 25%

2.50*1.25 = 3.125

Then the gross margin is (3.125 / 1.25) - 1 = (2.5 - 1) = 1.5 = 150% ( same as original )

Write 4,050 in expanded form.

Answers

4000 + 50 is the correct answer
4,050 in expanded form is 4000+50

g (a) = 4a ; Find g (2a)

Answers

this is how u do it...
ga=4a

Step 1: Divide both sides by a.

ag/a=4a/a. fraction

g=4
the answer is
4

plz help...A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $115

A)
f(x) = 15x + 25; f(6) = 115


B)
f(x) = 25x + 15; f(6) = 165


C)
f(x) = 15x + 25; f(6) = 125


D)
f(x) = 15x + 25; f(115) = 1750

Answers

The answer is A 
Hope this helps!!
the answer is a because it says you were charged 115 and thats the only one with 115 

In the 1980s, the population of Pleasanton decreased by 10%. In the 1990s, its population increased by 30%.

How does the population of Pleasanton at the end of the 1990s compare with its population in 1980?

A) It is 20% higher. B) It is 23% higher. C) It is 40% higher. D) It is 17% higher.

Answers

The population of Pleasanton is 17 % higher. (Right choice: D)

According to the statement, the population of Pleasanton is reduced by a factor of 0.9 in the 1980s and increased by a factor of 1.3 in the 1990s. The increase rate is found by means of this formula:

[tex]x =[(0.9)\cdot (1.3)-1]\cdot 100[/tex]

[tex]x = 17\,\%[/tex]

The population of Pleasanton is 17 % higher. (Right choice: D)

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Final answer:

The population of Pleasanton at the end of the 1990s is 17% higher than the population in 1980.

Explanation:

To compare the population of Pleasanton in the 1990s with the population in 1980, we need to consider the changes that occurred in each decade. In the 1980s, the population decreased by 10%. This means that if the population in 1980 was represented by 100, it would have decreased to 90 by the end of the decade.

In the 1990s, the population increased by 30%. Using the population of 90 at the beginning of the decade, the population at the end of the 1990s would be 90 + (30% of 90) = 90 + 27 = 117.

So, the population of Pleasanton at the end of the 1990s is 117, which is 17% higher than the population in 1980. Therefore, the correct answer is D) It is 17% higher.

Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the cheese she had?

Answers

Divide 7/8 cup by 1/6 cup.

Write 7/8.  Then invert 1/6 and multiply the result:

7     6
-- * --- = 42/8 = 5 2/8 = 5 1/4.  She can make her recipe 5 times and have a bit of cheese left over.
8     1

How many time can 4 go into 69

Answers

17 times, with 1 left over

hope this helps
17.25 
Hope this helps

Paula always withdraws 20 dollars more than she needs from the bank.

a.) Write an expression for the amount of money Paula withdraws if she needs d dollars.

b.) Find the amount of money Paula withdraws if she needs 20,60 and 75 dollars.

Answers

d+ 20= total

paula needs 20,675 dollers

A referee was standing on a certain yard line as the 1st quarter ended. He walked 41 3/4 yards to a yard line with the same number as the one he just left. How far was the refree from the nearest goal

Answers

Refer to the diagram shown below.

The American football field is 100 yds long, 53 1/3 yards wide, and has 10-yard touchdown zones at each end of the field.

Let x = distance of the referee at the end of the quarter from the nearest goal.
The distance between the same yard lines on either side of the  center line is
100 - 2x

This distance is the 41 3/4 yards that the referee walked. Therefore
100 - 2x = 41.75
-2x = 41.75 - 100 = -58.25
x = 29.125 yd  (or 29 1/8 yd)

Answer:
The referee was  29 1/8 yards (or 29.125 yards) from the nearest goal.

Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 each month. How many months will it take for the costs to be the same?

Answers

1000 + 1200m = 1500 + 1175m
1200m - 1175m = 1500 - 1000
25m = 500
m = 500/25
m = 20 <== they are the same at 20 months...they will both be 25,000
Final answer:

It will take 20 months for the costs of Apartment A and Apartment B to be the same.

Explanation:

To find out how many months it will take for the costs of Apartment A and Apartment B to be the same, we need to set up an equation. Let's say it takes x months for the costs to be equal. The equation would be: 1000 + 1200x = 1500 + 1175x. We can solve this equation to find the value of x.

First, we can simplify the equation by subtracting 1175x from both sides: 1000 + 25x = 1500. Then, we can subtract 1000 from both sides to isolate the variable: 25x = 500.

Finally, we can divide both sides of the equation by 25 to solve for x: x = 20. Therefore, it will take 20 months for the costs of Apartment A and Apartment B to be the same.

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X+3/6=x-6/3
x plus 3 divided by 6 equals x minus 6 divided by 3 solve for x

Answers

there is no solution because the Xs cancel out
Answer:  "x = 15 " .
_____________________________________________
Explanation:
_____________________________________________
Given:
_____________________________________________
 " (x + 3) / 6 = (x − 6) / 3 " ;    Solve for "x" ;
_____________________________________________
Multiply EACH SIDE of the equation by "6" ;
              to get rid of the "denominators" ("fractions") :
_____________________________________________
              →   6* { (x + 3) / 6 } = 6 * { (x − 6) / 3 }  ; 

to get:
_____________________________________________
                    →      x + 3 = 2(x − 6) ;
_____________________________________________

Note the "distributive property of multiplication"  :
_____________________________________________
         a(b + c) = ab +  ac ; 
         a(b − c) = ab − ac ;
_____________________________________________
As such:
_____________________________________________
   →  2(x − 6) = (2*x) − (2* 6) = 2x − 12 ;
_____________________________________________
So; we can rewrite the original equation:
_____________________________________________
                      "  x + 3 = 2(x − 6) " ;

        →  by substituting:  "2x − 12" ; [ in lieu of:  "2(x − 6)" ] ;  as follows:
______________________________________________________
                → x + 3 = 2x − 12 ; 

Now, we can subtract "x";  and can add "12" ; to EACH SIDE of the equation:

               → x + 3 − x + 12 = 2x − 12 − x + 12 ; 

               to get:   15 = x ; 

               ↔  x = 15 ; which is our answer.
______________________________________________



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