Why is the solution of 3x + 5 = 2x - 7

Answer:

[tex]m=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, -4)

Point (-8, 0)

Step 2: Find slope m

Step-by-step explanation:

-3+5=-10

−3x+5−5=−10−5

−3x=−15

−3x÷−3=−15÷-3

x=5

(-2 4/5)(1 4/5)

=-14/5×19/5

=-14×9/5×5

=-126/25

=-5 1/25

Answer:

3. x = 5

4. -5  1/25

Step-by-step explanation:

Question 3 Solving:

your equation is -3x + 5 = -10

subtract 5 from both sides to get the term with x alone: -3x = -15

divide both sides by -3 to isolate x (remember that a minus divided by minus is plus): x = 5

To check:

plug in 5 to x and see if you get -10 on both sides

-3(5) + 5 = -10

first multiply -3 and 5:

-15 + 5 = -10

then add 5 to -15:

-10 = -10

if the number are equal then you solved the equation correctly

Question 4:

multiply the whole number by the denominator, then add the numerator to the product, and that number will be your new numerator ( make sure to leave the negative sign out of this computation)

so multiply 2 and 5 to get 10, then add 4 to get 14

your new fraction is -14/5

practice doing the same thing to the other mixed fraction

you should get a new fraction of 9/5

multiply the numerators and denominators

so multiply -14 and 9, and multiply 5 and 5

you now have -126/25

divide 126 by 25 to get your whole number of the mixed fraction

you should have -5  ?/25

to find the numerator, multiply your whole number by your denominator (25 x 5 = 125), then subtract this from your numerator of the improper fraction

126-125 = 1

now you have an answer of -5  1/25

Answer:

49.5 meters of linen were left after the sale.

Step-by-step explanation:

Given that there are 100 meters of linen

And 15.75, 22.50 and 12.25 meters are sold.

This means that the sold linen has to be added  to find the total linen sold.

And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.

[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]

Left linen will be:

[tex]=100-50.5 = 49.5[/tex]

Hence,

49.5 meters of linen were left after the sale.

Answer:

pretty good tired of the virus stuff but good

Step-by-step explanation:

Answer:

Im great... how bout you?

Step-by-step explanation:

Answer:28

Step-by-step explanation:

Answer:

66 miles per hour

Step-by-step explanation:

528/8 = 66 miles per hour

Answer:

66 miles/hour.

Step-by-step explanation:

Its average speed is 528/8

= 66 miles/hour.

Answer:

Step-by-step explanation:90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

∠5

Step-by-step explanation:

So basically it's what it sounds like. They alternate inside. If it was alternate exterior it would means that they would alternate on the outside. Kinda hard to explain, but easy once you understand it.

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

Answer:

36

Step-by-step explanation:

Just add the students with doing this: number of studentsxsiblings

Answer:

For number one count all dots and for two start counting from 4 siblings

Step-by-step explanation:

Answer:

Bar graph

Step-by-step explanation:

Have a good day!

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

Answer:

Domain seems to be all real numbers.

Step-by-step explanation:

Answer:

426+315=741

Step-by-step explanation:

Answer:

426+315 = 741

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

I just finished the test and this was the answer I put and it was right.

9x+6y=b

6y=b-9x

y=b/6 -9/6x

y=b/6-3x/2

y= -3x/2 +b/6

3x + 2y = 1

2y = 1 - 3x

y = 1/2 -3/2x

y = -3/2x + 1/2

b/6=1/2

b=3

Answer:

Step-by-step explanation:

Answer:

The store paid $800 for it

Step-by-step explanation:

let x be the value the store paid for it

120/100 * x = 960

120x = 96000

x = 96000/120

x = $800

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

Answer:lol

Step-by-step explanation:

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

Answer:

1/2, 2, 9/2, and 8.

Step-by-step explanation:

In this case, we have an explicit rule.

So, to find the nth term, we can simply substitute a value into our function and evaluate.

For the first term, n=1. Thus:

[tex]f(1)=\frac{(1)^2}{2}[/tex]

Evaluate:

[tex]f(1)=\frac{1}{2}[/tex]

Hence, our first term is 1/2.

For the second term, n=2. Thus:

[tex]f(2)=\frac{(2)^2}{2}[/tex]

Evaluate:

[tex]f(2)=\frac{4}{2}=2[/tex]

Hence, the second term is 2.

For the third term, n=3. Thus:

[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]

So, the third term is 9/2.

And for the fourth term, n=4. Thus:

[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]

Therefore, the fourth term is 8.

Hence, our first four terms are: 1/2, 2, 9/2, and 8.

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

Answer:

\557

Step-by-step explanation:

Answer:

The last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 7, 7

Step-by-step explanation:

The given question is to find the value of the sum of two numbers 6²⁰²⁰ + 7²⁰²⁰, where,  6²⁰²⁰ + 7²⁰²⁰ ≠ 13²⁰²⁰

We have;

The last two digits of the powers of 6 are;

6¹ = 6, last two digits = 06

6² = 36, last two digits = 36

6³ = 216, last two digits = 16

6⁴ = 1,296, last two digits = 96

6⁵ = 7,776, last two digits = 76

6⁶ = 46,456, last two digits = 56

6⁷ = 279,936, last two digits = 36

6⁸ = 1,679,616, last two digits = 16

6⁹ = 10,077,696, last two digits = 96

6¹⁰ = 60,466,176, last two digits = 76

6¹¹ = 362,767,056, last two digits = 56

Therefore, the last two digits repeat itself every 5 times

For 6²⁰²⁰, the last two digits will be for the 2020/5 = 404 complete times, which will be 76

The last two digits of the powers of 7 are;

7¹ = 7, last two digits = 07

7² = 49, last two digits = 49

7³ = 343, last two digits = 43

7⁴ = 2,401, last two digits = 01

7⁵ = 16,807, last two digits = 07

7⁶ = 117,649, last two digits = 49

7⁷ = 823,543, last two digits = 43

7⁸ = 5,764,801, last two digits = 01

Therefore, the last two digits repeat itself every 4 times

For 7²⁰²⁰, the last two digits will be for the 2020/4 = 505 complete times, which will be 01

Therefore, the last two digits of 6²⁰²⁰ + 7²⁰²⁰ is 76 + 01 = 77, which is 7, 7