Solve the equation for the variable.

[tex] \frac{2}{5} x + 15 = x - 6[/tex]
x = [?]​

Answers

Answer 1
X= 35 hope this helpsss
Answer 2

Answer:

x = 35

Step-by-step explanation:

[tex]\frac{2}{5} x + 15 = x - 6[/tex]

First multiply through by 5 to eliminate the fraction

That's

[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]

Next using the subtraction property subtract 5x from both sides

That's

[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]

Next subtract 75 from both sides

[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]

Divide both sides by - 3

[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]

We have the final answer as

x = 35

Hope this helps you


Related Questions

Round to the nearest hundred, and then subtract. 4,623- 3,892

Answers

Answer:

700

Step-by-step explanation:4623=4600

3892=3900

4600-3900=700

Answer:

700

Step-by-step explanation:

4623 round to the nearest hundred : 4600

3892 round to the nearest hundred: 3900

4600-3900= 700

Plzzz help!!!! DUE TODAY!!!!! IM DESPERATE!!! WILL GIVE BRAINLIEST!!!!!! Use the values x=−0.5, 0, 1 to prove your solution to the equation 5+x−12=2x−7. In your final answer, include all of your calculations.

Answers

5+x-12=2x-7

x=0.5

5+0.5-12=2(0.5)

Get math away! That app saved me for questions like that :/

1/6 times 3/4 express youre answer in the simplist form

Answers

Answer:

1/8

Step-by-step explanation:

1/6×3/43/241/8

1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

What IS the solution to 1−(13q−5)=−6

Answers

Answer:

q = 12/13

Step-by-step explanation:

Step 1: Write equation

1 - (13q - 5) = -6

Step 2: Solve for q

Distribute -1: 1 - 13q + 5 = -6

Combine like terms: 6 - 13q = -6

Subtract 6 on both sides: -13q = -12

Divide both sides by -13: q = 12/13

Please Help!! 10 points! Brainliest Answer! 2 questions

Answers

Answer:

D and C

Step-by-step explanation:

I’m not sure but i think is D, since rise is y and run is x

. A dog runs from one side of a park to the other 80.0 meters across and takes 16.0 seconds to cross the park. What is the speed of the dog? ​

Answers

Answer:5

Step-by-step explanation:I divided 80.0 by 16.0

please help asap! thanks

Answers

Answer:

its the last one i believe

Step-by-step explanation:

because u have to get m by its self so

you divide 5 square from both sides and boom

HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!

Answers

The answer is this below:

xyxyxy. X. 7x xtimesxtimes.
Yxyxy

Thats how the problem would look like

A plumber charges $90 per hour and a $50 travel fee.
The total cost of his last job was $410. Use the equation
90x + 50 = 410 to find x, the number of hours it took to
complete the job.

Answers

okay so subtract 50 from both sides and you would get 360=90x and then divide each side by 90 and you would get x= 4 so it took 4 hours

Answer:

X=4

Step-by-step explanation:

90 x 4 = 360

360+50=410

hope this helps:)

What is the answer to this?plz help

Answers

Answer:

[tex]\frac{4}{9} = 0.4[/tex]

[tex]\frac{7}{30} = 0.23[/tex]

[tex]\frac{5}{3} =1.6[/tex]

[tex]\frac{32}{9} = 3.5[/tex]

Step-by-step explanation:

15x + 3 + 2x + 9r - (8 - r)

Answers

Answer:

17x + 10r -5

Step-by-step explanation:

15x +3 + 2x + 9r- (8-r)

17x +3 +9r -8 +r

17x+ 10r+ -5

Jenny spends $4 for breakfast and then $4 for lunch

Answers

Answer:

$8

Step-by-step explanation:

If you forgot to add something I'll answer that

Simplify. 3x – 8(x + 4)

Answers

Answer:

-5x - 32

Step-by-step explanation:

Use distributive rule :   a(b + c) = ab + ac

3x - 8(x + 4) =3x + x*(-8) + 4*(-8)

                   = 3x - 8x - 32         {combine like terms}

                    = -5x - 32

how do you solve a literal equation for a specified variable?

Answers

This all completely depends on the variable

(-3)(16)=
What is the question to this answer?

Answers

We know 3x16=48

Since there is a minus sign, the answer is -48.

:)

When reaching mile marker 4 on the trail, Susan uses her GPS to find that her current elevation is 6135 feet. If she follows the trail until its end at mile marker 9, her elevation will be 8290 feet. What is the average change in elevation of Susan's position from mile marker 4 to mile marker 9, in feet per mile marker?

Answers

Answer:

Change in elevation= 431 feet/mile marker

Step-by-step explanation:

given data

Elevation at mile marker 4 = 6135 feet

Elevation at mile marker9 = 8290 feet

to find out

average change in elevation

solution

we get here average change in feet per mile marker  that is express as

average change in feet per mile = change in elevation ÷ change in mile marker     .....................1

put hree value we get

average change in feet per mile = [tex]\frac{8290-6135}{9-4}[/tex]  

average change in feet per mile = 431 feet/mile marker

so

Change in elevation= 431 feet/mile marker

Find three equivalent fractions for 2/3 by multiplying by 3/3, 5/5 and 6/6. What property of multiplication do we use to find equivalent fractions?

Answers

The property of multiplication used to find equivalent fractions is called the multiplicative identity. It says that when a number is multiplied by 1, it remains same. When finding equivalent fractions, the numerator and denominator of a fraction is multiplied by the same number. In other words, the fraction is multiplied by 1, hence it remains the same.

The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

2/3 by multiplying by 3/3, 5/5, and 6/6.

= (2/3)(3/3)

= 6/9

= (2/3)(5/5)

= 10/15

= (2/3)(6/6)

= 12/18

The multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

The numerator and denominator of a fraction are multiplied by the same number for determining equivalent fractions.

Thus, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.

Learn more about the fraction here:

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On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.

Answers

Given :

The Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4).

To Find :

How far is it from the Elkin exit to the Mt. Airy exit.

Solution :

E(-5,-2) , D(-1 ,4 ) .

It is also given that Dobson exit is halfway between the Mt. Airy exit and the Elkin exit.

Let , location of Elkin exit is A(h,k) .

So , point D in terms of A and E is given by :

[tex](\dfrac{h-5}{2},\dfrac{k-2}{2})[/tex] .

Comparing it with given D :

[tex]\dfrac{h-5}{2}=-1\\\\h=3[/tex] [tex]\dfrac{k-2}{2}=4\\\\k=10[/tex]

Therefore , the location of Mt. Airy exit is ( 3, 10 ) .

Distance between Elkin exit to the Mt. Airy exit.

[tex]D=\sqrt{(5-3)^2+(-2-10)^2}\\\\D=12.17\ units[/tex]

Therefore , distance between Elkin exit to the Mt. Airy exit is 12.17 units .

Hence ,this is the required solution .

Can the number 12 be apart of more than one fact family? Explain.

Answers

Yes, 12 can be a part of more than one fact family because the fact family 3*4 or 6*2 or 9+3.

Yes

3,4
2,6
Hope this Helps:)

what is 64,100,000,000,000 in scientific notation ANSWER ASAP

Answers

Hey there!☺

[tex]Answer:\boxed{6.41*10^{13}}[/tex]

[tex]Explanation:[/tex]

[tex]64,100,000,000,000[/tex] as a scientific notation would be written like this:

[tex]{6.41*10^{13}}[/tex]

Hope this helps!

stephon scores 75,75,81,95 on four math tests. what is his mean math test score?

Answers

Answer:

should be 81.5

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the point (-8,
2) and has a slope of m = 5.

Answers

Answer:

y-2=5(x--8)

Step-by-step explanation:

Formula for point slope form equation: y-y1 = m(x – x1)

After that just plug in the given numbers

Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 2. passing through (6,2)
What is the point-slope form of the equation of the line?

Answers

Answer:

Step-by-step explanation:

y - 2 = 2(x - 6)

y - 2 = 2x - 12

y = 2x - 10

Solve the equation. 5+4x-7=4x-2-x​

Answers

answer
4x-4x+x=-2+7-5
x=0

Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 A pound, and a loaf of bread is $2.00. he has $8.00 to spend. How many pounds of tomatoes can he buy? Write the equality to solve the problem let X be the number of pounds of tomatoes.

Answers

Answer:

5 pounds of tomatoes

Step-by-step explanation:

5 pounds of tomatoes

8-2=6

6/1.20=5

Miracle sells 28 dozens of donuts on Wednesday. Each dozen cost $18. How much is one
donut?
2

Answers

Answer:

$1.5

Step-by-step explanation:

if each dozen cost $18, we need to divide.......18/12........because 12 is a dozen.

18/12 = 1.5

2n/5=10, what is the value of 2n-1

Answers

Answer:

49

Step-by-step explanation:

First, multiply 5 on both sides:

2n = 50

Then, we divide 2 on both sides:

n = 25

Now we got the value of n, let's calculate 2n - 1.

First, multiply 2 by n so we can get 2n:

2 * 25 = 50

Then, we calculate 50 - 1:

We got 49, and that's the answer ^^

Hope this helps!

The value of 2n-1 is 49 if 2n/5=10, after applying the concept of a linear equation and the value of n is 25.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

2n/5 = 10

2n = 50

n = 25

Plug the value of n in the expression 2n - 1

= 2(25) - 1

= 49

Thus, the value of 2n-1 is 49.

Learn more about the linear equation here:

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X/2-5=25???????


HELP!!!!

Answers

Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

if you're good at exact values please help meee





Find the exact perimeter of this right angled triangle

Answers

Answer:

perimeter = 14

Step-by-step explanation:

perimeter = ∑sides

                = x + (x + 3) + (x + 4)  --------eq.

                = 3x + 7

           3x = 7

            x = 7/3

plugin values into the equation:

perimeter = ⁷/₃ + (⁷/₃ + 3) + (⁷/₃ + 4)

                = 14

therefore, the perimeter of a triangle is 14

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