Solve the equation for x. 3x=(2x−2)(m+5)

Answers

Answer 1

Answer:

[tex]x=\frac{-2m-10}{-2m-7}[/tex]

Step-by-step explanation:

Step 1: Write out equation

3x = (2x - 2)(m + 5)

Step 2: FOIL

3x = 2xm + 10x - 2m - 10

Step 3: Subtract 2xm on both sides

3x - 2xm = 10x - 2m - 10

Step 4: Subtract 10x on both sides

3x - 2xm - 10x = -2m - 10

Step 5: Factor out x

x(3 - 2m - 10) = -2m - 10

Step 6: Combine like terms in parenthesis

x(-2m - 7) = -2m - 10

Step 7: Divide both sides by -2m - 7

[tex]x=\frac{-2m-10}{-2m-7}[/tex]


Related Questions

reggie pays 982.27 each month to rent an apartment. how much will it cost him to rent the apartment for two years

Answers

Answer:

982.27 = 1 month

12 months in one year

1 month x 12 is 12 months

982.27 x 12 = 11787.24

11787.24 x 2 = 23574.48

So, it is $23574.48

Try your best!

Mark this as Brainliest so that everyone can see!

On a trip to the grocery store, Zach purchased 7 pounds of fruits and vegetables. How many
kilograms is 7 pounds? Round your answer to the nearest hundredth of a kilogram.

Answers

Answer:

3.18 kg

Step-by-step explanation:

It is given that, Zach purchased 7 pounds of fruits and vegetables.

We know that,

1 kg = 2.20462 pounds

It means that, 1 pound = 0.453592 kg

We need to find how kilograms is 7 pounds. So multiply 7 by 0.453592 to convert into kg.

So,

7 pound = 3.17515 kg

or

7 pounds = 3.18 kg

So, the weight of fruits and vegetables is 3.18 kg.

Rewrite 1/2 book 3/4 hour as a unit rate

Answers

Answer:

2/3 book/hour

Step-by-step explanation:

1/2 multiplied by 4/3= 2/3

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

I think the answer is A.

7n-5n=6 how do we solve this!


Be quick please also I need to show work

Answers

Step-by-step explanation:

7n-5n=6

2n=6

n=6/2

n=3

What is is the answer of 2/4+3/8=

Answers

Answer:

7/8

Step-by-step explanation:

2/4+3/8= 4/8+3/8=7/8

7/8 is your answer .............

Please help me with this

Answers

Margaret: -9
Anika: +1
Johan: 0
Seamus: -2

What are factors in the expression 4x(3x^2+5y)

Answers

Answer:

12x^3 +20xy

Step-by-step explanation:

Hope this Helped!!!!!!!!!!!!

Answer:

Technically it is 12x^3 + 20xy but the answer choice is 12 and 20.

Step-by-step explanation:

For the work, you need to distribute 4x to each term in the ( ).

Point and line are coplanar.

Answers

Answer:

If they are in the same plane

Step-by-step explanation:

HELP I WILL MARK YOU BRAINLIEST Akai was eating a pizza over the course of the weekend. On Saturday night, he ate 34 of the pizza. On Sunday morning he ate 16 of the pizza, and on Sunday night he ate the rest of the pizza. What portion of the pizza did he eat on Sunday night?*

Answers

Answer:

34+16=50% of the pizza so on Sundays night he ate the other 50%

:)

What is p(x)? Thank you!

Answers

The answer is option C

Answer : p(x) equals 1 :)

84 ÷ (17 × 3 - 23) × 4

Answers

Answer: 12

Step-by-step explanation:

which of the following decimal numbers are greater 2.1 or 2.0113

Answers

Answer:

2.1 is greater

Step-by-step explanation: 2.0113 cannot be rounded up since the last number is 3 if it was above 5 or greater it could have been rounded but would have only affected the second number.

2.1 is greater than 2.0113. If you were to round 2.0113 it would be 2. 2.1 is greater than 2.

Smita is experimenting with how a paper airplane's shape affects the distance it will fly. Which action is the result of her logical reasoning? A. She follows her procedure carefully. B. She decides to use the same type of paper for each airplane. C. She decides to perform the experiment outside on a windy day. D. She records only the data that support her favorite hypothesis.​

Answers

Answer:

She decides to use the same type of paper for each airplane

Step-by-step explanation:

Answer:

b just did it

Step-by-step explanation:

Write a difference quotient that best approximates the instantaneous rate of change of g at x=0

Please show how you got your answer

Answers

We can define the average rate of change of a function f(x) in an interval [a, b] as:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Particularly, if we want to find an approximation of the rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are really close to x'.

Then if we want to find the instantaneous rate of change of g at x = 0, we need to find values of a and b really close to zero.

Looking at the table, we can choose:

a = -0.001

b = 0.001

(are the two closer ones to zero)

Then the rate of change can be written as:

[tex]f(x) = \frac{g(0.001) - g(-0.001)}{0.001 - (-0.001)} = \frac{2.001 - 1.999}{0.002} = 1[/tex]

From that, we can conclude that a good approximation of the instantaneous rate of change is 1.

If you want to learn more, you can read:

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You want to buy 4 CDs for $15.99 each. Estimate the total cost. about $64 about $57 about $60 about $68

Answers

Answer:

about $64

Step-by-step explanation:

4 x $15.99 = $63.96

round $63.96 to get $64

Mrs. Dizeu had a summer job that pays $15.00 an hour and she worked between 10 and 40 hours every week. Her weekly salary can be modeled by the equation: S = 15h, where S is her weekly salary and h is the number of hours she worked in a week. Describe the domain and range for this problem using interval notation.

Answers

Answer:

do 15x 40 and the 15x10

Step-by-step explanation:

solve for x
4 - 2(x - 3) = 24

Answers

Answer:

-7

Step-by-step explanation:

4-2x+6=24

10-2x=24

-2x=24-10

-2x=14

X=-7

The solution to the equation is x = -7.

To solve the equation 4 - 2(x - 3) = 24 for the variable x, you can follow these steps:

Step 1: Simplify the expression on the left side by applying the distributive property:

4 - 2x + 6 = 24

Simplifying further:

10 - 2x = 24

Step 2: Move the constant term to the right side by subtracting 10 from both sides:

10 - 10 - 2x = 24 - 10

-2x = 14

Step 3: Divide both sides of the equation by -2 to solve for x:

(-2x) / -2 = 14 / -2

x = -7

Therefore, the solution to the equation is x = -7.

Learn more about Equation here:

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What is the slope of the line represented by the equation y= 4/5x-3

Answers

Answer:

m=

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

Slope of a line is the co efficient of x in the given line.

[tex]y = \frac{4}{5} x - 3 \\ y = mx + b[/tex]

please help me. if right I will give brainlist, thanks, and 5 stars

Answers

c, LMJ and IJM

they are corresponding angles :)

43,678 to the nearest ten

Answers

Answer:

43,680

Step-by-step explanation:

4 in below let him go

5 and above bump him up

8>5 so we bump him up

so 7-> 8

Answer:

43,680

Step-by-step explanation

Rounding numbers to the nearest 10 means finding which 10 they are nearest to. For example, 78 rounded to the nearest 10 is 80.

Find the product: -1(-28)=

Answers

Answer:

the answer is 28

Using the slope-intercept form to graph the equation y=-8/9 times + 4

Answers

so

y=-8/9x+4

Your y intercept is 4

For every 9 units you go (to the right) along the x axis, you go 8 units down on the y axis.

What is the solution to the equation 1/4x+2=-5/8-5

Answers

Answer: [tex]x=-61/2[/tex]

Simplify both sides of the equation

[tex]1/4x+2=(-5/8+-5)[/tex] (Combine Like Terms)

[tex]1/4x+2=-45/8[/tex]

Subtract 2 from both sides

[tex]1/4x+2-2=-45/8-2\\1/4x=-61/8[/tex]

Multiply both sides by 4

[tex]4*(1/4x)=4*(-61/8)\\x=-61/2[/tex]

there are twelve bottles in each box of bottled water. Write an equation representing the total number of bottles you get if you buy x boexes. use y to represent the total number of of bottles

Answers

Answer:

what does y and x represent no one can answer unless they have x and y

Step-by-step explanation:

Answer:

y=12x

Step-by-step explanation:

Since there are 12 bottles in each box, the total number is the number of boxes multiplied by 12.

For example, buying 1 box will give you 12 bottles (1x12) and buying 2 boxes would give you 24 (2x24).

Therefore the equation of the total number of bottles if you buy x boxes is:

y=12x

Hope this helped!

Complete the paragraph proof. We are given that Ray E B bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the . A bisector cuts the angle measure in half. m∠AEB is 45°.

Answers

Answer:

1. 90

2. AEC

3. angle addition postulate

:)

Answer:

answers

Step-by-step explanation:

I will give the brainiest

Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42.
What is the price of one movie ticket without the coupon?
$5
$11
$9
$7

Answers

The price of the ticket would be 9dollars

3. Approximate square root v15

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{15}\\=3.87298\dots \\\\= 4[/tex]

How should a random heterogeneous material be sampled in order to construct a representative sample?

Answers

Answer:

Explained below.

Step-by-step explanation:

Heterogeneous denotes to a form with different components or features, give the impression as uneven or varied.  

A heterogeneous population or sample is the one where each and every individual has a diverse value for the distinctive characteristic one is interested in.

To select a representative sample from the random heterogeneous material one should divide the material into segments and then use random number, either by the random number table or by the random number generator, to select  random segments of the material.

Solve this absolute value inequality
8 |u-2| -7<33

Answers

Answer:

In set-builder notation, the set of solutions is:

[tex]\left \{u|-3<u<7\right\}[/tex]

Step-by-step explanation:

Let's start by isolating the absolute value expression on one side of the inequality:

8 | u - 2 | - 7 < 33

add 7 on both sides:

8 | u - 2 | < 40

divide both sides by 8:

| u - 2 | < 5

Now, in order to remove the absolute value symbols, we need to consider two different cases:

1) what is inside the absolute value symbols is larger than or equal to zero, so in such case when we remove the absolute value we get exactly what was inside:

u - 2 < 5

u < 5 + 2

u < 7

Now the other case;

2) what is inside the absolute value is smaller than zero, then when removing the symbols we get:

2 - u < 5

2 - 5 < u

-3 < u

Then the set of solutions of this inequality are the set of u values such that u is larger than -3 (to the right of -3 on the number line, and smaller than 7 (to the left of the number 7 on the number line.

In graph form this should look like a highlighted segment on the number line that starts at -3 on the left, ends at 7 on the right, and doesn't include the endpoints -3 and 7.

in set builder notation, the set of solutions is given by:

[tex]\left \{u|-3<u<7\right\}[/tex]

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