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

Answers

Answer 1

Answer:

m=2

Step-by-step explanation:

Answer 2

Answer:

[tex]m=2[/tex]

Step-by-step explanation:

[tex]3\left(m+5\right)=3+3\left(2m+2\right)[/tex]

Expand:

[tex]3m+3\times5=3+3\times2m+3\times2[/tex]

[tex]3m+15=3+6m+6[/tex]

[tex]3m+15=6m+9[/tex]

Subtract 15 from both sides:

[tex]3m+15-15=6m+9-15[/tex]

[tex]3m=6m-6[/tex]

Subtract 6m from both sides:

[tex]3m-6m=6m-6-6m[/tex]

[tex]-3m=-6[/tex]

Divide both sides by -3:

[tex]\frac{-3m}{-3}=\frac{-6}{-3}[/tex]

[tex]m=2[/tex]


Related Questions

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He
sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for
these graphs?
none
one
two
infinitely many

Answers

Answer:

The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions.

The greatest possible number of intersections for the graphs is two.

What is the greatest possible number of intersections of the graph?

It follows from the task content that the two graphs involved are;

A linear and quadratic graph.

By convention, a quadratic graph produces a parabola and a linear graph produces a straight line. On this note, it follows that the best case of intersection is when the straight line crosses over the parabola and hence leading to two points of intersection.

Read more on linear and quadratic expressions;

https://brainly.com/question/2438097

The table below shows the number of school absences each day.

A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.

Which equation models the data in the table?

y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6

Answers

Answer:

A

Step-by-step explanation:

did it on edge soo there ya go

Answer:

a

Step-by-step explanation:

Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax. ​
A. $96.75​

B. $6.75​

C. $83.25​

D. $90.00​

Answers

A)96.75

Multiply 90 x 7.5% to get 6.75

Add to get answer

Brainliest?

To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.

Answers

Answer:

$54,720

Step-by-step explanation:

If you make $4560 a month and there are 12 months in a year the equation would be...

$4560 * 12 = yearly salary

4560 * 12 = 54720

So your yearly salary is $54,720

Hope this helps!

Which number is irrational?
16.5%
0.0675
8 3/4
3.14

Answers

Answer:

3.14

Step-by-step explanation:

it will go on foreever

Hi.
Please i need help with this question.
Workings Please


Note : 100k = N1
So , N1.10 = 110k.

Thanks.

<3​

Answers

Answer:  E. N1.10

Step-by-step explanation:

18 words cost a total of 35k          

48 - 18 = 30 additional words cost 2.5k each: 30 × 2.5 = 75k

35k + 75k = 110k

                = N1.10

Select all the steps that you could use to subtract a negative fraction from a positive decimal. A. Subtract the absolute value of the decimal. B. Convert both numbers into fraction form. C. Convert both numbers into decimal form. D. Add the negative number to the positive number. E. Add the opposite of the negative number to the positive number.

Answers

the answers are A, D, and E

The problem can only be easily solved if the values are either all converted to fractions or all converted to decimal.

The steps that could be used  to subtract a negative fraction from a positive decimal are;

Convert both numbers into fraction form Convert both numbers into decimal form Add the negative number to the positive number

It is important that the both values are converted either to fraction or to decimal for ease of computation.

After this step is done, the negative number can now be added to the negative number and the result is recorded.

Learn more: https://brainly.com/question/13042975

Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

Answers

Answer:

[tex]f(n) = 5 + f(n - 1)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 5n - 2[/tex]

Required

Write a recursive expression

[tex]f(n) = 5n - 2[/tex]

When n = 1

[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]

[tex]f(1) = 3[/tex]

When n = 2

[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]

[tex]f(2) = 8[/tex] can be rewritten as

[tex]f(2) = 5 + 3[/tex]

Substitute 3 for f(1)

[tex]f(2) = 5 + f(1)[/tex]

Express 1 as 2 - 1

[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)

When n = 3

[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]

[tex]f(3) = 13[/tex] can be rewritten as

[tex]f(3) = 5 + 8[/tex]

Substitute 8 for f(2)

[tex]f(3) = 5 + f(2)[/tex]

Express 2 as 3 - 1

[tex]f(3) = 5 + f(3 - 1)[/tex]  ------ (2)

Write out (1) and (2)

[tex]f(2) = 5 + f(2-1)[/tex]

[tex]f(3) = 5 + f(3 - 1)[/tex]

Replace 2 and 3 with n in both cases; This gives

[tex]f(n) = 5 + f(n - 1)[/tex]

Hence;

The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]

A cube has edges measuring 5 inches. Find the surface area of the cube.
5 inches
102 square inches
100 square inches
150 square inches
105 square inches
С
d

Answers

Answer:

150 square inches

Step-by-step explanation:

The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150

Answer:

150 square inches

Step-by-step explanation:

The surface area of the cube is

[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]

but it's a cube so all the areas are the same

[tex]S_A=6A_1[/tex]

and the area of

[tex]A_1=l^2[/tex]

[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]

so the surface area is

[tex]S_A=6(25)\\\\S_A=150[/tex]square inches

Solve S=BC-8 for B
..

Answers

Answer:B = S C + 8 C

What do you observe about the distances between the three pairs of corresponding vertices for each movement Based on your observations, how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a translation? ​

Answers

Answer:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

Step-by-step explanation:

The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'  

from this observation Translation is the movement of all vertices of  shapes at a fixed distance along a given co-ordinate, The movement of the vertices of a shape at a fixed distance is just another way of defining the movement of the points of a shape at a fixed distance in relation  to translation

Answer:

Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.

Step-by-step explanation:

Find the slope of the line through (2, -3) and (-4, 3).

Answers

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

3-(-3)/-4-2

6/-6

-1

Best of Luck!

Given Points:

(2, -3) and (-4, 3)

To Find:

The slope of the line through (2, -3) and (-4, 3).

Slope Formula:

y2 - y1 / x2 - x1

Solution:

3 + 3 / -4 - 2

= 6 / -6

= -1

Answer:

-1

PLEASE HELP!!!!! ITS DUE SOON

Answers

For a), all you need to do is replace the variable, n, for the number 13 (your 13 tons given) So, it will be C = 7500 + 175(13). 175(13) means 175 multiplied by 13 tons. Add 7500 to that and it will give you C, your cost.

For b), you replace your total cost, C, with $11,175, so it will be 11 175 = 7500 + 175n.

Then, it would be 11 175 - 7500 = 175n
(7500 becomes negative when you move it to the other side of the equal sign).
Then, 3675 = 175n
Then, 3675/175 = 175n/175 ( a / means division)
That leaves you with n = 21.
So, the answer for b) is 21 tons.

The quotient of the three times a number and the quantity 4 plus the same number. Use n.

Answers

Question :

if the quotient of three times a number and four is decreased by three, the result is nine. whats the number

Answer :

Trevor,

number = x

(3x÷ 4) - 3 = 9

Use a common denominator 4: 3x - 12 = 36

3x = 48

x = 16

Does it fit the original equation?

[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9

Hope it helps

Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the
towns can be represented by four points: A, G, M, and W. Given that M is the midpoint of AW and MG =
MA + GA, determine the
proper order of the four towns.

Answers

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

If the CI on a sum of money for 3 years at
the rate of 2% per annum is 306.04, then
what will be the SI?​

Answers

Answer:

Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Compound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loanCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nCompound Interest = Total amount of Principal and Interest in future (or ) less the Principal amount at present called (PV). PV is the current worth of a future sum of money or stream of given a specified .where P = Principal, i = annual interest rate in percentage terms, and n = number of compounding periods for a year.P=306.04/[(1+0.02)^3–1]=5000The formula for calculating simple interest is:Simple Interest = Principal x Interest Rate x Term of the loan= P x i x nSimple Interest = 5000*0.02*3=300

24x27= Will give brainless

Answers

Answer:

648

Step-by-step explanation:

here u go

Answer:

648

Step-by-step explanation:

24 x 27 = 648

3526.48502 to 2 decimal places

Answers

Answer:

3526.48502

3526.49 as after 8 there is 5 and more than

Step-by-step explanation:

Answer:

3526.49

Step-by-step explanation:

You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.

n(x)=2x+7;(x)=17, what is the value of x so that the function has a given value

Answers

2(17)+7

34+7

N(17)=41

Brainliest?

The table shows the speeds and time that each person traveled.

A 3-column table with 3 rows. Column 1 is labeled Person with entries Mel, Ben, Pia. Column 2 is labeled Speed (kilometers per hour) with entries 97, 102, 93. Column 3 is labeled Time (hours) with entries 3, 2, 2.

Approximately how many kilometers did the three people drive in all?
292 kilometers
584 kilometers
681 kilometers
876 kilometers

Answers

Answer:

681

Step-by-step explanation:

multipy the speed by distance and time

Answer:

681

Step-by-step explanation:


Convert the fraction into a percentage.
1
7
10
=
%


Answers

Answer:

170%

Step-by-step explanation:

The answer is 170%!! :))

-4v = -9v + 10 V=
Help

Answers

Answer:

v=2

Step-by-step explanation:

5v=10

v=2

Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6

Answers

Answer:

Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.

Step-by-step explanation:

Student Work:

2(x + 4) – 8 = 3x+10-4

2x + 8–8 = 3x + 6

2x = 3x + 6

- 3x – 3x

X = 6

My work:

2(x+4)-8=3x+10-4

2x+8-8=3x+6

2x=3x+6

-x=6

x=-6

Convert the fraction into a percentage. 6 2 5 = %

Answers

The answer is 625%!! Hope this helped! :) Brainliest?

Answer:

625%

Step-by-step explanation:

What are the coordinates of point S? (-3/4, 1/2) (-1/2, -3/4) (1/2, -3/4) (3/4, 1/2)

Answers

the coordinates are (-3/4, 1/2)


this is also equivalent to (-0.75, 0.5) if that helps understand if further!

‼️Please help me‼️Use the number line to find FB. Enter your answer as a number

Answers

Answer:

-11

Step-by-step explanation:

the formula for the distannce of AB with A the starting point is

B-A

so in this case

FB

F is the starting point

-6-5=-11

!!25 POINTS!!
Name Y Z two other ways.

Answers

Answer:

Step-by-step explanation:

would it be C.

Y, Z

How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?

Answers

5^5
it would be 5 to the power of 5

Answer:

5 5

Step-by-step explanation:

the second five is small five

What is the product of (-a + 3)(a + 4)

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

After multiplying and opening the brackets

we get

-a^2-4a+3a+12

=-a^2-a+12. ( simplifying)

hope it helps.....

Answer:

[tex] \boxed{\sf -a^2 - a + 12} [/tex]

Step-by-step explanation:

⇒(-a + 3)(a + 4)

⇒-a(a + 4) + 3(a + 4)

⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)

⇒-a² - 4a + 3a + 12

⇒-a² - a + 12

The graph shows the number of miles traveled by a train over a 5 hour trip.
180
160
140
120
100
Miles
Traveled
80
60
40
20
0
1
2
4
5
3
Hours
How fast is the train traveling?
A. 30 miles per hour
B. 32.5 miles per hour
C. 35 miles per hour
D. 40 miles per hour

Answers

Answer: 35

Step-by-step explanation:

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