9(m +5) - 3(m - 2) = 8m + 31

Answers

Answer 1

Answer:

m=10

Step-by-step explanation:

Answer 2

Answer:

m=10

Step-by-step explanation:

9(m+5)−3(m−2)=8m+31

Step 1: Simplify both sides of the equation.

9(m+5)−3(m−2)=8m+31

9m+45+−3m+6=8m+31

(9m+−3m)+(45+6)=8m+31(Combine Like Terms)

6m+51=8m+31

Step 2: Subtract 8m from both sides.

6m+51−8m=8m+31−8m

−2m+51=31

Step 3: Subtract 51 from both sides.

−2m+51−51=31−51

−2m=−20

Step 4: Divide both sides by -2.

m=10

Hope this helps girly!!


Related Questions

Which equation represents a proportional relationship

Answers

Answer: B y=100/x

Step-by-step explanation:

It’s b since 100/yx and its proportional

Evaluating functions please help :)

Answers

Answer:

-28

Step-by-step explanation:

In order to find h(-6) plug in -6 for any "x" in the equation.

So the equation will be h(-6)=5(-6)+2

I just plugged this into my calculator

Hope this is correct and helps! :)

10. A student solves the following problem:
Problem:
2 (x-3) + 3x = 19
2x - 6 + 3x = 19
(2x + 3x) - 6 = 19
5x - 6 - 19
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
5x - 6+ 6 = 19+ 6
5x = 25
X = 5
What property justifies step 4?
a. Commutative Property of Addition
c. Multiplication Property of Equality
b. Addition Property of Equality
d. Substitution

Answers

Answer:

Step-by-step explanation:

A.

Option A is correct. The property that justifies step 4 based on the calculation is the Commutative property of addition.

Equations are expressions separated by an equal sign.

Given the equation:

2(x-3) + 3x = 19

Expand the parenthesis using the distributive law

2x - 2(3) + 3x = 19

2x - 6 + 3x = 19

Collect the like terms

2x + 3x -6 = 19

Step 4

Since 2x+3x = 3x+2x = 5x (according to the commutative law), the expression becomes:

5x-6 = 19

Step 5

Add 6 to both sides

5x-6+6 = 19+6

5x = 25

x = 25/5

x = 5

Hence the property that justifies step 4 based on the calculation is the Commutative property of addition.

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if 1 cm represents 35 miles what is 1.25 cm in miles?

Answers

Answer:

43.75 miles

Step-by-step explanation:

You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75

8.75+35=43.75

Assume you have 3,000 songs downloaded to your mobile phone. Of these songs, 50 songs are by your favorite artist. If you play the songs on random shuffle, how many songs would you have to listen in a row before you heard a song by your favorite artist?

Answers

Answer:

2950

Step-by-step explanation:

i just subtracted 3,000 with 50

There are 2950 songs would you have to listen in a row before you heard a song by your favorite artist.

What is random shuffle of songs?

Shuffle play is a type of music playback in which all tracks are selected at once and songs are played in a random order. Media player software, digital audio players, and CD players all frequently have it.

Given: You have 3,000 songs downloaded to your mobile phone.

Of these songs, 50 songs are by your favorite artist.

So, the number of songs would you have to listen in a row before you heard a song by your favorite artist are,

3000 - 50 = 2950.

Therefore, there are 2950 songs would you have to listen in a row before you heard a song by your favorite artist.

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A statistics teacher was interested in the relationship between you and the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used to
obtain the regression equation = -3.64x + 96.5, where x represents the number of procrastination days and 9 is the
predicted grade. What is the predicted grade of a student who procrastinated for 2 days?
0 25.96
0 85.58
O 89.22
0 103.78

Answers

Answer:

C. 89.22

Step-by-step explanation:

hope it helps!

edge 2020

Given the points (2,4),(-2,6),(1,3), and (0,3), categorize the domain and range.
Domain
Range
No Answers Chosen
ING
1
Possible answers:
2
3
All real numbers
-2
0
4
6
2
3
4

Answers

Answer: range: 3, domain: 4

Step-by-step explanation:

the range of a problem is basically the difference between the smallest and the largest y value. the largest y value here is 6 and the smallest is 3, so 6-3 = 3 -> 3 is your range! now for domain: the domain of a problem is the difference between the smallest and largest x value. the largest x value is 2 and the smallest is -2, so 2 - -2 = 4 -> the domain is 4! hope this helped!

6x +3 = 6x -20 - x equations with variables

Answers

6x+3=6x-20-x
6x+3=5x-20
6x+23=5x
23= -x
x= -23

the final answer is -23

Find value if x in the figure below

Answers

Easy buddy...

[tex]5x - 15 = 3x + 7[/tex]

Subtract the sides of the equation plus 15

[tex]5x = 3x + 7 + 15[/tex]

[tex]5x = 3x + 22[/tex]

Subtract the sides of the equation minus 3x

[tex]5x - 3x = 22[/tex]

[tex]2x = 22[/tex]

Divided the sides of the equation by 2

[tex]x = \frac{22}{2} \\ [/tex]

[tex]x = 11[/tex]

________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Choose a justification for each step in the derivation of the sine difference identity.

Answers

Answer:

Step-by-step explanation:

The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.

Given:

The given expression is [tex]\sin (x-y)[/tex].

To find:

The justification for each step.

Explanation:

Cofunction identities:

[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]

[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]

Cosine difference identity:

[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]

Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].

Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].

We have,

[tex]\sin (x-y)[/tex]

[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex]                                             Step 1: Cofunction identity

[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex]                                                 Step 2: Distributive property

[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex]                                            Step 3: Associative property

[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex]                                        Step 4: Factoring out   

[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex]       Step 5: Cosine difference identity

[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex]                           Step 6: Cofunction identity

[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex]                                Step 7: Cosine function is even, sine function is odd

Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.

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Help needed ASAP will give you BRAINLIEST and 5 stars rate :)

Answers

The rate of the byciclist is 20km/h. We know this because each line of the km side represents 20 and on the x axis each line is 1

Answer:

The bicyclist is travelling at a rate of 20 km/h.

Step-by-step explanation:

When you plug the numbers into the formula (y2-y1/x2-x1=m) you get 20 km/h.

The slope of a vertical line is....?

a) undefined
b) not enough information given
c) horizontal
d) 0

Answers

the answer is A undefined

Alex rents a car for one day. The charge is $18
plus $0.12 per mile. Alex wants to spend exactly
$30. How many miles can he drive?

Answers

Answer:

100

Step-by-step explanation:

30 - 18 = 12

12 / .12 = 100

plz mark brainliest if helpful

Miles that alex can drive is 100

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

The calculation is as follows;

Number of days alex rents a car = 1 day

The charge for the car = $18 plus $0.12 per mile

Alex wants to spend; $30

The number of miles he will drive can be calculated as follows

= $30 - $18

= $12

= 12÷0.12

= 100

Therefore, if Alex spends $30 he will drive for 100 miles

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PLEASE SOMEONE HELP ME ASAP!!! I’ll make you BRAINLIEST!!!!

Write y=2x^2+24x+47 in vertex form. Also please explain/write the steps thanks.

Answers

Answer:

y=(2x^2+24x)+25

y=2x(x^2+12x)+25

y=2x(x^2+12x+36)+25-2x(36)

Y=2x(x+6)^2+25-72

Y=2x(X+6)^2-47

Step-by-step explanation:

sorry it was late

Answer: y=2(x+6)²-5

Step-by-step explanation: First you find the coefficient of x^2, which is 2, then take out 2 as a factor, 24/2 which will equal to 12. After that do 47 divided by 2  if you calculate that it will equal to 23.5.  y=2(x²-12+23.5)  y =2(x²-12x+23.5)

Next Step: Figure out the coefficient of x. To make it easier,look what is in front of x as you can see it is 12. Then you divide 12/2 which is 6. Then square 6, which is 36. Then you add and subtract 36. To write the first three terms as a square, you do ( x+6)^2. Then do -36 + 23.5 if you calculate that it will get you wil get -12.5 . Now that you have calculated that distribute 2, then do 2 times -12.5 which is -12.5. This is how it shoud look like y=2(x+6)² -12.5.  

f(x)=√8+2
Find the range

Answers

Answer:

what does f or x mean

Step-by-step explanation:

At the market five lightbulbs cost nine dollars how much do seven lightbulbs cost

Answers

Answer:

$12.60

Step-by-step explanation:

Answer:

12.60

Step-by-step explanation:

9 dollars divided by 5 lightbulbs is 1.8

so 1.80 dollars × 7 lightbulbs = 12.60

9÷5=1.8

1.8×12.60

(3.9 x 10^-3) + .0026 in scientific notation

Answers

.0026 in scientific notation is 2.6 x 10^-3 so just add 2.6 x 10^-3 + 3.9 x 10 ^-3

The value of (3.9 × 10⁻³) + 0.0026 in scientific notation is 6.5 × 10⁻³.

What is Decimals numbers?

Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.

Decimal number system describes the base 10 number system.

Given are numbers 3.9 × 10⁻³ and 0.0026 added together.

We have to do it in scientific notation.

0.0026 can be written as 2.6 × 10⁻³.

Adding these two numbers together, and taking the common term,

(3.9 × 10⁻³) + (2.6 × 10⁻³) = (10⁻³) (3.9 + 2.6)

                                        = (10⁻³) (6.5)

                                        = 6.5 × 10⁻³

Hence the answer of the sum of (3.9 × 10⁻³) + 0.0026 is 6.5 × 10⁻³ in scientific notation.

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I need the answer ASAP

Answers

Answer:

i just did this in class a week ago and i think it was option c

Step-by-step explanation:

what is the measure of the following angle?
AOD​

Answers

Answer:

it's 80.

Step-by-step explanation:

120-40= 80

....

Answer: 80

Step-by-step explanation:

hope this helps

Find the midpoint of AB if A(-3. 8) and B(-7. -6)

Answers

The midpoint of AB is (-5, 1).

To find the midpoint of a line segment AB, we average the x-coordinates of the two endpoints and the y-coordinates of the two endpoints.

Given that A has coordinates (-3, 8) and B has coordinates (-7, -6), we calculate the midpoint as follows:

x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2

                     = (-3 + -7) / 2

                     = -10 / 2

                     = -5

y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2

                     = (8 + -6) / 2

                     = 2 / 2

                     = 1

Therefore, the midpoint of AB is (-5, 1), where -5 is the x-coordinate and 1 is the y-coordinate. This means that the midpoint is equidistant from points A and B, dividing the line segment AB into two equal parts.

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7 + 9 – (–3) – 1 + 2

Answers

Answer: 20

Step-by-step explanation:

Hope helps

Answer:

7 + 9 - (-3) - 1 + 2

16 - (-3) - 3

19 - 3

16

Please help I’ll give brainiest!!

Answers

Answer:

-1

Step-by-step explanation:

Solve x2 − 8x + 15 < 0. The solution set for the quadratic inequality is:

Answers

Answer:

3<x<5

Step-by-step explanation:

[tex]x^2 - 8x + 15 < 0\\\\\mathrm{Factor}\:x^2-8x+15:\quad \left(x-3\right)\left(x-5\right)\\\left(x-3\right)\left(x-5\right)<0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\left(x-3\right)\left(x-5\right)\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:<\:0\\\\3<x<5[/tex]

Please help if you can. And please explain

Answers

Answer: Choice B) 0.63

==============================================

Work Shown:

1.1 is 174% of what number

1.1 = 174% of what number

1.1 = 174% of x

1.1 = 1.74*x

1.74x = 1.1

x = 1.1/1.74

x = 0.632183908045977 which is approximate

x = 0.63

What is the slope of the line through (-9,6) and (-6, -9)?
Choose 1 answer:
1/5
5
-5
-1/5
I hate algebra




Answers

The slope of (-9,6) and (-6,-9) is -5.

Which of the following expressions cannot be simplified?

A) √24
B) √32
C) √27
D) √38

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Solve the equation x2 + + 7x= 30
O A. x= 15 and x= -2
0 B x=-6 and x = 5
0 C x= -10 and x= 3
O D. x= 10 and x= -3

Answers

Answer:

x^2+7x=30

x^2+7x-30=0

Here a=1,b=7 and c=-30

Now,

Discriminant(D)=b^2-4ac

=7^2-4×1×(-30)

=49+120=169

By applying Quadratic formula

x=-b+- root over b^2-4ac÷2a

=-7+- root over D ÷ 2×1

=-7 +- root over 169 ÷2

=-7 +- 13 ÷2

Now,

Either x=-7+13÷2=6÷2=3

Or x=-7 -13 ÷2=-20÷2=-10

Hence, ans is (C) x=-10 and x=3

A basketball player attempted 15 field goals. He scored on 40 percent of his attempts. How many field goals did the player score? NEED HELP BADLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10/21/2020

Answers

Answer:

He scored 6 field goals out of 15

Step-by-step explanation:

40% converted into a decimal is 0.4. "Of" means multiply. So you do 15 times 0.4 and get 6.

5(x −1) < 3x + 10 − 8x

Answers

Answer:

x < [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

I hope this help

Answer:

Step-by-step explanation:

5x - 5 < -5x + 10

10x - 5 < 10

10x < 15

x < 15/10

x< 3/2

I am thinking of a slope equivalent to 1/4→ What are two points from the line? List your coordinate pairs below.
→ Prove that the slope equals 1/4.

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics

the points or conditions for the slope to be 1/4 are as

1.) (-2,2) ,(2.3)

2.) (-4,4),(4,6)

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