solve the proportional equation 3/m-2 = 7/m+2

Answers

Answer 1

Answer:

The answer is m = 5

Step-by-step explanation:

Let's solve the proportional equation, this way:

3/m-2 = 7/m+2

3 * (m + 2) = 7 * (m - 2) [Lowest common denominator (m + 2) * (m - 2)]

3m + 6 = 7m - 14

-4m = -14 - 6 (Like terms)

-4m = -20

m = -20/-4

m = 5

The answer is m = 5


Related Questions

A rectangular window in a door is 30 inches tall. If the area of the window is 300 square inches, how wide is the window?

Answers

10 inches

(300 square inches devided by 30 inches)

it is 10 inches wide!

explanation:

300/30=10

make g the subject of x=3g+2

Answers

Answer:

look at picture shown.

Solve for the intersection point
2x+3y=-6
-2x+3y=-18

Answers

Answer:

(3,-4)

Step-by-step explanation:

A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?

Answers

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m  = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m  = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

   therefore b = 2g      [tex]\Rightarrow[/tex]  g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

   therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

     b + g  + m = b + 0.5b + b + 225  = 1020      [tex]\Rightarrow[/tex] 2.5b  = 795     [tex]\Rightarrow[/tex]  b = 318

v) g  = 0.5 b  = 0.5 [tex]\times[/tex] 318 = 159

vi) m = b + 225 = 318 + 225 = 543

Answer:

D. Gallery: g

Balcony: 2g

Main Floor: 2g+225

Step-by-step explanation:

Gallery is g

Balcony had 2 times as many tickets than Gallery so 2•g (2•gallery)

Main floor had 225 more tickets than Balcony so Balcony’s equation plus 225 tickets. 2g + 225

Allie bought a roll of wrapping paper that is 8 1/2 feet long. She is wrapping gifts for her staff and needs 1 3/4 feet of wrapping paper for each gift. If Allie wraps as many gifts as possible with one roll, how many feet of wrapping paper will she have left over?

Answers

Answer:

1 1/2 feet

Step-by-step explanation:

We know that she needs 1 3/4 feet of wrapping paper per gift and she has a total of 8 1/2 feet.

The number of gifts she can wrap is:

[tex]8.5/1.75=4.86[/tex]

She can wrap four gifts

Therefore:

[tex]4\cdot{1.75}=7[/tex]

She will use 7 feet of wrapping paper and she has:

[tex]8.5-7=1.5[/tex]

She has 1 1/2 feet of wrapping paper left

Answer:

11/2

Step-by-step explanation:

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is
450 kilograms (\text{kg}kgstart text, k, g, end text), but Renna and her load of identical packages mass a total of 620\,\text{kg}620kg620, start text, k, g, end text. Each package has a mass of 37.4\,\text{kg}37.4kg37, point, 4, start text, k, g, end text.

Answers

Answer:

Whats the full question ?

Step-by-step explanation:

Answer:

37.4p  ≥ 170

5 packages

Step-by-step explanation:

The inequality is:

37.4p  ≥ 170

Renna needs to remove a minimum of 555 packages from the elevator to meet the mass requirement.

Also the answer above is not ok to do.

Saying random things just for the points is wrong.

Instead you can say it where it says comment under the question

Hope this helps ;)

#15 You earned 89 out of
100 points on your math
quiz. What percent of the
points did you earn?
#16 Outc
are in bar
of studen

Answers

Answer:

89%

Step-by-step explanation:

Percent is a number out of 100.

If you got 89 out of 100, you got 89%

Given that ABCD is a rhombus, what is the value of x?
(3x - 26)​

Answers

Answer:its 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

The perimeter of the rectangle is 14x + 4, the length of the rectangle is 2x. What is the width of the rectangle?

Answers

Answer:

5x+2

Step-by-step explanation:

P=2L+2W

14x+4=2(2x)+2W

14x+4=4x+2W

14x+4-4x=2W

14x-4x+4=2W

10x+4=2W

(10x+4)/2=W

5x+2=W

44 decreased by twice a number
use the variable "n" to represent an unknown number​

Answers

Answer:

44-2n

Step-by-step explanation:

Hope it helps!

Final answer:

The expression '44 decreased by twice a number' can be represented as 44 - 2n, where n is the unknown number.

Explanation:

The question involves expressing a given mathematical relationship using a variable. Here, the relationship is '44 decreased by twice a number.' To represent this situation with the variable n, we use the expression 44 - 2n. To simplify further, just substitute the variable 'n' with the unknown number. This represents the original number 44 being reduced by two times the value of some unknown number n.

Share £40 in the ratio 1:4

Answers

Answer:

8:32

Step-by-step explanation:

1x+4x=40

5x=40

x=8

1*8:4*8

8:32

Find the area of shaded region. Round the answer to 2 decimal places if necessary

Answers

[tex]\boxed{A=50units^2}[/tex]

Explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any regions so I'll help you assuming a system of inequalities that leads to a shaded region that is a right triangle as shown in the figure below. The system is the following:

[tex]\left\{ \begin{array}{c}x>0\\y>0\\y<-x+10\end{array}\right.[/tex]

From the figure below, the shaded region is a right triangle with base 10 units and height 10 units. So:

[tex]A=\frac{b\times h}{2} \\ \\ \\ A:Area \ of \ the \ triangle \\ \\ b:base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle[/tex]

So:

[tex]A=\frac{10\times 10}{2} \\ \\ A=\frac{100}{2} \\ \\ \boxed{A=50units^2}[/tex]

Learn more:

Area of a triangle: https://brainly.com/question/9835350

#LearnWithBrainly

If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pay for them this year?

Answers

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

[tex]\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}[/tex]

[tex]\text{Price of pair of jeans this year}=\$75+\$75\times0.02[/tex]

[tex]\text{Price of pair of jeans this year}=\$75+\$1.5[/tex]

[tex]\text{Price of pair of jeans this year}=\$76.5[/tex]

Therefore, the price of pair of jeans would be $76.5 this year.

Borrowed 8000 at a rate of 12% compound monthly, no payments how much will be owed after 7 years?

Answers

Answer:

[tex]\$18,453.78[/tex]  

Step-by-step explanation:

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final amount owed  

P is the amount borrowed

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=7\ years\\ P=\$8,000\\ r=12\%=12/100=0.12\\n=12[/tex]  

substitute in the formula above

[tex]A=8,000(1+\frac{0.12}{12})^{12*7}[/tex]

[tex]A=8,000(1.01)^{84}[/tex]  

[tex]A=\$18,453.78[/tex]  

What is the measure of angle X? 56° 41°

Answers

Question:

What is the measure of angle X?

The image of the measurements is attached below:

Answer:

The measure of angle x is 83°

Explanation:

Since, Vertical angles have equal measure,

Let us consider that the angle opposite to 41° is ∠y and they are equal.

i.e, ∠y = 41°

Since, the angles in a straight line add up to 180°, we have,

∠x + ∠y + 56° = 180°

Substituting the value ∠y = 41°, we have,

∠x + 41° + 56° = 180°

Adding the terms, we get,

∠x + 97° = 180°  

Subtracting both sides by 97°, we get,

∠x = 83°

Thus, the measure of ∠x is 83°

Answer:

83 degrees

Step-by-step explanation:

I took the test

HWEEEPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

P = 105°

QR = 11.6

M = 45°

LN = 8.5

Step-by-step explanation:

when reading the order of what is given LMN = PRQ the order DOES matter

so whe looking at what is being asked....

P will equal whatever its place is in the opposite equation. In this case that is L. This means that P = L. Since L = 105° then so does P.

You can do this with the rest of the letters. What ever letter is in it's place in the opposite equation that is what it equals.

What is the answer to (7+4)2+(14/7)

Answers

Answer:

24

Step-by-step explanation:

24

(7+4)= 11 x 2 + (14/7)
(14/7)= 11 x 2 + 2
11 x 2= 22 + 2
22 + 2= 24

Which number has the smallest number? -5 or -15?

Answers

Answer:

-15

Step-by-step explanation:

this is the negative scale, so the bigger the smaller

Answer:-15

Step-by-step explanation:

-15 is 15 away from 0 while -5 is only 5 away from 0

can you solve this equation for me?
simplify the expression 6-2x+5+4x

Answers

Answer:

11 + 2x

Step-by-step explanation:

First you will want to separate like variables, so (6, 5) and then (-2x, 4x)

Then you will use the signs to do the math. You can move everything to help visualize the solution easier.

6+5+4x-2x

6+5 = 11

4x-2x = 2x

Because you cannot add or subtract a variable with a non variable, and both numbers are positive you end up with

11 + 2x

The expression 6-2x+5+4x simplifies to 11 + 2x by combining like terms: the constants (6+5=11) and the variables (-2x+4x=2x).

To simplify the expression 6-2x+5+4x, we start by combining like terms. Combining the constant terms (6 and 5) and the variable terms (-2x and 4x), we get:

Constant terms: 6 + 5 = 11

Variable terms: -2x + 4x = 2x

Thus, the simplified expression is 11 + 2x.

When you isolate the variable,the goal is to get the variable

Answers

Answer: you isolate the variable so you can get a equation of y= 10x or something like that

Step-by-step explanation:

Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the coat that he wants for school. How much must Arthur earn in the next week?

Answers

Arthur must earn $53 in the next week.

Write the expression "N is the same as 6 reduced by 2" as a number sentence.

Answers

Answer:

N = 6 - 2

Step-by-step explanation:

Take each part of the word expression and translate it:

"N"   =>  N        ("N" is a variable that represents a number you don't know)

"is the same as"   =>  =       ("the same" means equals)

"6 reduced by 2"   =>  6 - 2          ("reduced" means use subtraction "-")

Put the sentence back together in the same order.

N = 6 - 2

If you wanted to find "N", you can simplify by doing 6 - 2.

N = 4

Please help me calculate the proper number of significant figures, I would like to check my answers to see if this is correct based on the significant figure rules
A.) 320.80−(6101.3/1.8)320.80−(6101.3/1.8)=
B.) [(286.4×105)−(1.300×103)]×2.8951=
C.) (0.0041×26000.0)+(2811×15)=
D.) 863×[1251−(3.11×109)]=

Answers

Final answer:

To determine the proper number of significant figures in a calculation, follow the rules for addition/subtraction and multiplication/division, and round the final answer to the proper number of significant figures.

Explanation:

To determine the proper number of significant figures in a calculation, follow these rules:

Addition and subtraction: The result should have the same number of decimal places as the number with the fewest decimal places.Multiplication and division: The result should have the same number of significant figures as the number with the fewest significant figures.Rounding: Round the final answer to the proper number of significant figures.

Using these rules, the proper number of significant figures for the given calculations are:

A.) 320.80 - (6101.3 / 1.8) = 300

B.) [(286.4 x 105) - (1.300 x 103)] x 2.8951 = 839000

C.) (0.0041 x 26000.0) + (2811 x 15) = 40000

D.) 863 x [1251 - (3.11 x 109)] = -1.7742e12

doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?

Answers

Doug have 30 quarters and 15 dimes.

Step-by-step explanation:

Given,

Number of coins = 45

Worth of coins = $9.00 = 9.00*100 = 900 cents

Each quarter = 25 cents

Each dime = 10 cents

Let,

x be the number of quarters

y be the number of dimes

According to given statement;

x+y=45            Eqn 1

25x+10y=900   Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{450}{15}\\x=30[/tex]

Putting x=30 in Eqn 1

[tex]30+y=45\\y=45-30\\y=15[/tex]

Doug have 30 quarters and 15 dimes.

Keywords: linear equation, elimination method

Learn more about elimination method at:

brainly.com/question/2821386brainly.com/question/2860697

#LearnwithBrainly

Doug has 30 quarters and 15 dimes.

Let

x = number of quarters

y = number of dimes

The total number of coins is 45. Therefore,

Total number of coins:x + y = 45

Total amount of the coins is $9. Therefore,

Total cost of the coins:0.25x + 0.1y = 9

Therefore,

x + y = 45

0.25x + 0.1y = 9

0.1x + 0.1y = 4.5

0.25x + 0.1y = 9

0.15x = 4.5

x = 4.5 / 0.15

x = 30

y = 45 - 30

y = 15

learn more on quarter and dimes here:https://brainly.com/question/244382?referrer=searchResults

there were 20 members in thr running club in september. the membership increased to 25 in october. the membership decreased back to 20 in november. what was the percent decrease from october to november?

Answers

There was a decrease of 20% in membership from October to November.

Step-by-step explanation:

Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.

Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5

Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.

Percent decrease in number of members =(Difference in members / number of members in November) *100

                                                                      = (5/25) * 100 = 0.20 * 100 = 20%

So number of members in the club decreased by 20% from October to November.

3x to the power of the 4th - x to the second power - x to the second power-5x to the power of 4 +3

Answers

Answer:

3x^4-x^2-x^2-5x^4+3

-2x^4-2x^2+3 is the answer

Final answer:

To simplify the given expression, combine like terms by adding or subtracting the coefficients of the same powers of x.

Explanation:

The given expression is 3x4 - x2 - x2 - 5x4 + 3.

To simplify this expression, combine like terms by adding or subtracting the coefficients of the same powers of x.

Combining like terms, we have: -2x2 - 2x4 + 3.

Learn more about Combining like terms here:

https://brainly.com/question/16601020

#SPJ12

urgent please be my saint VX is a midsegment of △WYZ. If YZ=t+95 and VX=10t, what is the value of t?

Answers

Answer:

[tex]t = 5[/tex]

Step-by-step explanation:

By the mid-segment theorem of triangles,

[tex]VX= \frac{1}{2} YZ[/tex]

We substitute the expressions in terms of t.

[tex]10t = \frac{1}{2} (t + 95)[/tex]

We multiply through by 2 to get:

[tex]20t = t + 95[/tex]

Subtract t from both sides:

[tex]20t - t = 95[/tex]

[tex]19t = 95[/tex]

Divide both sides by 19:

[tex]t = \frac{95}{19} [/tex]

[tex]t = 5[/tex]

$300 at 4 percent for 3 years
A: Find the interest earned
B: Find the balance of the account

Answers

So this is a simple interest problem

Amount=principal(starting amount) * rate * time(In years)

So A= 300*0.04*3
A =36
So the interest earned was 36$ but since the balance started with 300$ you have to add 36$ to the old balance to find your new balance
Therefore your new balance would be 336$

Ben is 4 times as old as I Ishaan and is also 6years older than ishaan

Answers

Answer:

24

Step-by-step explanation:

4 times 6 =24

Answer:

Ishaan is 2 years old and Ben is 8

Step-by-step explanation:

Ben is 4 x (2) = 8

Ben is 6 + (2) = 8

Kim says that multiply 1/4×12 is the same as dividing 12 x 4 do you agree with him explain your answer

Answers

Answer: No

Step-by-step explanation: 12 x 4 is 48. 12 x 1/4 is the same as dividing 12 by 4, which gives you 3. 3 is not equal to 48.

The correct statement is that the number 3 is not equal to 48.

I do not agree with him.

What is simplification?

Simplification is to make something easier to do or understand and to make something less complicated.

Given

Kim says that multiplying 1/4×12 is the same as dividing 12 x 4

How to find the solution?

The multiplication of 12×4 = 48.

1/4×12 is the same as dividing 12 by 4, which gives you 3.

Therefore, 3 is not equal to 48.

I do not agree with him.

More about the simplification link is given below.

https://brainly.com/question/12616840

Other Questions
What two numbers multiply to -27 and add to 1 A certain type of plywood consists of 5 layers. The thickness of the layers follows a normal distribution with mean 5 mm and standard deviation 0.2 mm. Find the probability that the plywood is less than 24mm thick. Carlota has opened a small business. She is selling a bottled hot sauce made from locally grown peppers using a formula passed down in her family. The product is sold via eBay and Amazon and is delivered by FedEx. So far, no promotion other than word-of-mouth on social media has been needed. For only $9.95, you can buy a quart bottle. The preceding describes the _________ for Samanthas company.a. Marketing mixb. Perfect strategyc. Organizational strategyd. Strategic objectivee. Strategic tactic how much do u need to subtract from 41/6 to make 6 Amber and Emmet were recently hired by a marketing agency. While Amber is typically in a good mood always, Emmet appears to be depressed most of the time. Based on this information, what would you expect from Amber? She will take a great deal of time trying to make a good decision. She will have poor problem-solving skills. She will find better solutions to problems. She will make poor decisions. She will not be very creative when making decisions. Jacky did not score well in her "pre-med" course at the university level. She started studying hard to improve her grades and got into medical school. Even after getting the degree of Doctor of Medicine (M.D.), she still works hard for everything and is successful in all her endeavors. Which special kind of response to negative reinforcement is evident in Jacky's case? Which statement is best supported by the dot plot? Choose ONE and explain youranswer.I. The range of the number of miles Amanda skated in August is less than the rangeof the number of miles she skated in July.II. The distribution of data is approximately symmetrical in both sets of data.III.The mode of the number of miles Amanda skated in July is equal to the mode ofthe number of miles skated in August. Galen Company income under variable costing is $1,050,000. Fixed production costs in ending inventory are $300,000 and $250,000 in beginning inventory. What is Galen Company's income under absorption costing? What does it mean when an economist says that a currency has become stronger? There are very few things that the currency cannot buy in a foreign market. The currency will buy less of foreign goods. The currency can be exchanged for more of a foreign currency. Services, unlike goods, can be exported freely. According to historian Charles Beard, the framers of the Constitution were mostly concerned with a. creating a religious community. b. pursuing military glory and imperialism. c. creating a form of government that maximized popular sovereignty. d. promoting their own economic interests. How many unpaired electrons are present in the ground state of an atom from each of the following groups?(a) 2A(2) (b) 5A(15) (c) 8A(18) (d) 3A(13) Find the sine...... Pls According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood, find the probability that exactly three of the individuals have group A blood. Mary is comparing light potato chips to regular potato chips. What is the difference? a. The light potato chips are lower in weight. b. The light potato chips are lighter in texture. c. The light potato chips are lighter in color. d. The light potato chips have been cooked in olive oil. e. The light potato chips are lower in calories. The first figure is dilated to form the second figure.Which statement is true?The scale factor is 0.25.The scale factor is 4.The scale factor is 4.35.The scale factor is 7.25.A diamond with a side length of 5.8. An arrow points to a smaller diamond with a side length of 1.45 Which of the following parts of the nervous system would carry messages from ones sore knee to the brain and spinal cord to alert the person to stop running and rest? Explain how the media impacts on our values and beliefs about marriage both in a positive and negative way Bill says the equation 600 equals 1250 means 600 is four times as many as 50 Sarah says the equation means 650 more than 12 who do you agree with explain More polar solvents (eluents) move molecules more rapidly than less polar solvents. If you used a 1:1 hexanes:methanol mixture as solvent, would you expect the products to elute faster or slower? Based on your experiment, would a 1:1 hexanes:methanol mixture be a good choice as eluent? Explain why/why not Look at the following map. W hich letter shows the location of Islamiccaliphates during the postclassical era?A. B B. A C.E D. G