an equation is shown below:
5 ( 2x - 8 ) + 15 = -15
write the steps you'll use to solve the equation and explain each step.​

Answers

Answer 1

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

Answer 2

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

Skills needed: One-Variable Equations, Solving Equations

1) The first thing is to use P.E.M.D.A.S

There are no Parentheses, or Exponents, so we go to multiplication

The quantity we multiply is: [tex]5(2x-8)[/tex]

Using distributive property (which is [tex]a(b+c) = ab+ac[/tex]), you get:

[tex]5(2x-8) = 5(2x) - 5(8) = 10x - 40[/tex]

2) Now, we substitute back in and combine like terms:

[tex]10x-40+15=-15[/tex]

Combine the -40 and 15 ([tex]-40+15=-25[/tex])

Then, you will get: ([tex]10x-25=-15[/tex])

3) Add 25 to both sides, to isolate the variable:

[tex]10x = -15+25[/tex], and then -15+25 is 10, so

[tex]10x = 10[/tex]

4) Divide by 10 on both sides, and get [tex]x = 1[/tex]

Hope this helps and have a nice day!! :) :]


Related Questions

Which of these is a binomial? O A. x + 2y2 - 7 O B. ab O C. 5xy O D. 2x3 - 7y3​

Answers

Answer:

D

Step-by-step explanation:

2 terms

What is the coefficient of q in the sum of these two expressions?

(23q – 34) and (–16q – r)
2/3
3/4
1/2
1

Answers

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Find the area of the figures

Answers

Answer:

120.

Step-by-step explanation:

area = L x W which means you multiply 15x 8.

I’ve attached my work...
You can simplify the answer more to a decimal but not sure how you need the answer as

I NEED HELP ILL GIVE BRAINLEST

Answers

The last 2 options are correct

Answer:

5,0

10,0

( I'm sorry if this wasn't helpful to you) ;(

Solve 4/s=-2/9 please help

Answers

Answer: 4/15

Step-by-step explanation:

hope it's help you.......

Which graph shows the line of best fit?



Answers

The 3rd one. It is the line that shows the average of most of the points since it’s more in the middle.

find the solution of given expression



[tex] \sqrt{99 \times 33 \times 3} [/tex]

Answers

Answer:

99

Step-by-step explanation:

99 x 33 x 3 can be simplified to 99 x 99. If you square root this you will end up with 99

[tex]\sqrt{99 \times 33 \times 3} = 99[/tex]

All 930 students enrolled at a school either walk to school or ride the bus. Of these students, there are exactly 5 times as many
who ride the bus as there are who walk to school. How many students walk to school?

Answers

Answer:

Step-by-step explanation:


Write an equation for the line shown above:
y = x +

Answers

the answer is y=4x+3

Answer:

the answer is y=4x+3

Step-by-step explanation:

I need help simplifying this equation.

Answers

Answer:

6abc

Step-by-step explanation:

In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:

3 * b * 2 * ac

= 3 * 2 * b * ac

= 6abc

Bob bought a broken motor scooter, repaired it, and sold the scooter for $130. That was $50 less than 1.5 times what he paid for it.

Answers

Answer: $120

Step-by-step explanation:

Assume the original price is x.

He sold the scooter for $130 and this was $50 less than 1.5 times what he paid for it.

Relevant formula is therefore:

1.5x - 50 = 130

1.5x = 130 + 50

x = 180/1.5

x = $120

1/2-1/6(4-1/3) simplify

Answers

Answer:

3 5/7

Step-by-step explanation:

a triangle where one angle 120 degrees and another 50 degrees

Answers

I do not understand what you are asking for

I am assuming you want the missing angle, in this case it is 10

Triangle Sum Theorem states that a triangle is equal to 180 degrees

120+50 = 170

180-170

= 10

The area of a rectangular rug is 28 m2. The length is 7 m.
What is the width?

Answers

Answer:

4 i think

Step-by-step explanation:

Someone please!!!!!! give me the correct answer to this question.

I will mark you brainliest for the correct answer.

This is a big test.

Please help!!!!

Answers

the answer is the second choice.

Write the center and radius for the following circles

Answers

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

Graph a line with a slope of -3 and (4,-2)

Answers

Answer:

the equation would look like y = -3x + 10. The graph is...

Jennifer has 14 coins that total $2.15. She only has dimes and quarters. If she only
has dimes and quarters, how many dimes does she have

Answers

Answer: 9 dimes and 5 quarters.

Step-by-step explanation:

Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax?

Answers

Answer:

She would have to pay $42.50, which is 6.25% sales tax.

What are the coordinates of the point on the directed line segment from K (-5, -4) to L (5,1) that partitions the segment into a ratio of 3 to 2.

Answers

Answer:

i think its d

Step-by-step explanation:

Write the equation in slope-intercept form for each line based on the information given.
The line has a slope of -1 and goes through the point (2,4).

Answers

Answer:

y = -1x + 6 or y = -x + 6

Step-by-step explanation:

First, let's identify what slope-intercept form is.

y = mx + b

m is the slope. b is the y-intercept.

We know the slope is -1, so m = -1. Plug this into our standard equation.

y = -1x + b

To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

4 = -1(2) + b

To find b, multiply the slope and the input of x(2)

4 = -2 + b

Now, add 2 from both sides to isolate b.

6 = b

Plug this into your standard equation.

y = -1x + 6

This is your equation.

Check this by plugging in the point again.

y = -1x + 6

4 = -1(2) + 6

4 = -2 + 6

4 = 4

Your equation is correct.

Hope this helps!

If a sheet of aluminum is 0.04. inches thick, find the height of 76,421 sheets stacked together .

Answers

Answer:

3056.84

Step-by-step explanation:

yes this is the answer

Use Substitution to solve the following System of Equations.
y= 4x + 3
y = -2 – 2

Answers

Set them equal to each other then solve

Drag tiles to match each fraction, decimal, or percent to an equivalent number.
24/25 3/5 9/50 26% 0.35

0.96 60% 0.18 13/50 7/20

PLEASE ANSWER ASAP

Answers

Answer:36%=9/25    17/50=34%   0.18=18%     1/4=0.25        Hope that helped:)

Step-by-step explanation:

The solution to the equation is

a) 24 / 25 = 0.96

b) 3/5 = 60 %

c) 9 / 50 = 0.18

26 % = 13 / 50

0.35 = 7 / 20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

a)

24 / 25

The value of the fraction A = 24/25 is

A = 0.96

Therefore , A = 24/25 = 0.96

b)

3/5

The value of the fraction A = 3/5

Multiply the numerator and denominator by 20 , we get

A = 3/5 x 20/20

A = 60 / 100

A = 60 %

Therefore , A = 3/5 = 60 %

c)

9/50

The value of the fraction A = 9/50

Multiply the numerator and denominator by 2 , we get

A = 3/5 x 2/2

A = 18 / 100

A = 0.18

Therefore , A = 9/50 = 0.18

d)

26 %

The value of the fraction A = 26 %

Convert the percentage A = 26 % into  fraction  , we get

A = 26/100

A = 13 / 50

A = 13/50

Therefore , A = 26 % = 13/50

e)

The value of the fraction A = 0.35

Convert the decimal A = 0.35 to fraction , we get

A = 35 / 100

Divide the numerator and denominator by 5 , we get

A = 7 / 20

Therefore , A = 0.35 = 7 / 20

Hence , the value of the equation A is

a) 24 / 25 = 0.96

b) 3/5 = 60 %

c) 9 / 50 = 0.18

26 % = 13 / 50

0.35 = 7 / 20

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

HELP! will mark brainiest answer if gotten rightttt

Answers

Using SohCahToa, we know tan = opposite/adjacent of any angle
So for C, tan = 12/16
12/16 = 6/8 = 3/4 = .75

Answer:

.75

Step-by-step explanation:

Please help quickly .

Answers

Answer:

A

Step-by-step explanation:

I think but if I'm wrong don't come for me plzz

B
3/4= 75%
2/3=66%
1/2=50%
5/12=41%

Paul wants to know when gas would have cost about $1.50 per gallon. What step should he take ?

A) Substitute 1.50 for y in the equation

B) Add 1.50 to the y-intercept of the equation

C) Substitute 1.50 for x in the equation

D) Add 1.50 to the slope of the equation

Answers

i think the answer is A, correct me if I wrong !

Answer:

A

Step-by-step explanation:

HELP ASAP
Write the equation of the line that passes through the points (1,-4) and (4, -5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line

Answers

Answer:

[tex]y+4 = -\frac{1}{3} (x-1)[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}[/tex]

So, the slope is [tex]-\frac{1}{3}[/tex].

2) Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.    

[tex]y-(-4) = -\frac{1}{3} (x-(1))\\y+4 = -\frac{1}{3} (x-1)[/tex]

Answer:

Step-by-step explanation:

Thanks for my points back

y=3x-4
y=2x+1
what would be the first step to solving system​

Answers

Answer:

Step one. Equate the two right hand sides to each other.

3x - 4 = 2x + 1

Step-by-step explanation:

Well one of the things you could do is graph the two equations. The intersection point is the solution to the system. We get 5,11 as the answer. I can hear you saying that's cheating, and it likely is, but it does get the answer.

The very first step without the graph is to equate each of the right hand sides to each other. That's because the left side are both ys and they have to be equal.

3x - 4 = 2x + 1                     Add 4 to both sides

3x - 4 + 4 = 2x + 1 + 4

3x = 2x + 5                         Subtract 2x from both sides

3x-2x = 2x-2x + 5              Combine

x = 5

y = 3x - 4

y = 3*5 - 4

y = 15 - 4

y = 11.

The perimeter of a hexagon with all equal sides
is 9.0m. How long is each side?​

Answers

Answer:

1.5m

Step-by-step explanation:

A hexagon has 6 sides,

so divide 6 by 9.0m

you get 1.5m

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