Explain how to isolate the variable in this equation -2/5x+7=15

Answers

Answer 1

Answer:

[tex]x = -20[/tex]

Step-by-step explanation:

Use inverse operations and simplification to isolate the variable in the equation.

[tex]-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\[/tex]

Now divide the equation by [tex](-\frac{2}{5})[/tex] remember, dividing a fraction is the same as multiplying by the reciprocal. The reciprocal of a fraction is when one switches the places of the numerator (number on top of a fraction bar), and the denominator (number on the bottom of the fraction bar).

[tex]-\frac{2}{5}x = 8\\[/tex]

÷[tex]-\frac{2}{5}[/tex]

[tex]x = 8 * (-\frac{5}{2})[/tex]

Simplify,

[tex]x = 4 *(- 5)\\\\ x= -20[/tex]


Related Questions

In triangle GHI the measure of angle I = 90•, HI = 5.6, and IG = 2.8 feet. Find the measure of angle G to the nearest tenth of a degree

Answers

Answer:

63.4

Step-by-step explanation:

Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.

Answers

Answer:

The number of 5-inch cuts if duct tape remainding is 14.

Step-by-step explanation:

1. 96 - 22.5 = 73.5

2.  73.5/5 = 14.7

3. .7 isnt a full piece of tape, so he has 14 5inch tapes

a sales rep earns $700 a month plus $30 for every part sold

Answers

Answer:

Salary=30(parts sold) + 700

Step-by-step explanation:


Write down all the odd numbers between 720 and 730​

Answers

Answer:

721, 723, 725, 727, 729

Step-by-step explanation:

Have a blessed day :)

Answer this question for 25 points

Answers

Answer:

49

Step-by-step explanation:

i see the other answer is absolutely useless

Marble:Stone

6          :   7

    42   :   49

therefore there are 49 stones

Answer:

49

Step-by-step explanation:

42 ÷ 6 is 6

7 x 7 is 49

so its 49

Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?

Answers

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

find the next four terms in a number pattern that follows the rule. start with the number 10. 10, 16, 22, 28, 34 Is 16, 22, 28, and 34 the answer?

Answers

Answer:

40, 46, 52, 58

Step-by-step explanation:

To find the next four terms, we have to find the pattern of the given terms.

We start at 10 and then go to 16.

Let's try adding 6 to each term and see what we get.

10 + 6 = 16

16 + 6 = 22

22 + 6 = 28

28 + 6 = 34

Looks like it matches the given terms.

To find the next four terms, we just have to keep adding 6 to each term.

34 + 6 = 40

40 + 6 = 46

46 + 6 = 52

52 + 6 = 58

Please help!!! Will award BRAINLIEST to best answer!!!
If 12a + 3b = 1 and 7b - 2a = 0, what is the average a and b?

Answers

Answer: 1/4

Step-by-step explanation:

If you add the equations:

12a + 3b = 1

-2a + 7b = 0

------------------- (you get):

10a + 10b = 1 (divide by 10)

a + b = 1/2 (divide by 2 since average of two numbers is their sum divided by 2)

(a + b) / 2 = 1/4

Answer: 0.05

Step-by-step explanation:

1. 12a+3b=1

a= (1-3b)/12

2. 7b-2a=0

7b-2((1-3b)/12)

b=1/45

a=(1-3b)/12=(1-3(1/45))/12=7/90

Lastly: (7/90+1/45)/2=0.05

find the function h(x)=f(x)+ g(x) if f(x) =2x^3+1 and g(x)=x^2- 4x+3

Answers

Answer:

h(x) = f(x) + g(x)

fill in the equations

h(x) = (2x^3 + 1) + (x^2 - 4x + 3)

h(x) = 2x^3 + 1 + x^2 - 4x + 3

combine like terms

h(x) = 2x^3 + x^2 - 4x + 4

What is 98x34x56÷5
Plz help me fast
Thanks in advance

Answers

Answer:

37318.4

Step-by-step explanation:

hope this helps

Determine the length the 6 meter side and the 12 meter side will be in the drawing.


plss help me answer all the questions ​

Answers

Answer:

x=2,x=4

So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.

Step-by-step explanation:

Solve for x by using cross multiplication

6=3x

x=2

12=3x

x=4

Randy has 53 inches of ribbon that he cuts into 8 pieces of equal length. What is the length of each piece of ribbon, in inches? Use paper to show your work. Enter your answer in the box. The length of each piece of ribbon is inches. Question 2 Select from the drop-down lists to describe the length of each piece of Randy’s ribbon. The length of each piece of Randy’s ribbon is between and inches.

Answers

Answer:

6 5/8

Step-by-step explanation:

The product of two positive consecutive odd integers is 2703. What are the positive numbers?

Answers

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

[tex]x^2+2x-2703=0[/tex]

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

..What percent of 420 is 79.8?
What percent is 79.8 of 420?

Answers

Answer:

19.95 %

19.95%

Hope that helps!

Step-by-step explanation:

Determine the distance between the two groups after the hikes

Answers

Picture?? I need to see what I’m working with

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet from the base of the pole, find the height of the telephone pole. Round your answer to nearest thousandths of a foot.

Answers

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]

i.e.

[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]

Hence, The height of the telephone pole = $15.046

Lauren divided a pile of paper into 5 stacks. The line plot shows the height of each stack of paper.

MAMAT050510270_1a.gif (picture of the graf)


What was the height, in inches, of the original pile of paper?

5/8
1 1/3
1 5/8
3 1/8

Answers

Answer:

5/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagonal of a square has length 14 find the length of a side

Answers

Answer:

14

Step-by-step explanation:

because all diagonals are of the same lenght

Solve the equation for 1/3 + a = 5/4

Answers

a = 1/3 * 5/4

a = 5/16

what is the unknown angle

Answers

a supplementary angle (the horizontal line) = 180°
so 180°-62°= 128°

Answer:

the line is 180 so you do 180-62=118

soo the angle x is 118°

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Answers

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

Question :-

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.

Answer :-

The volume of the composite solid is 303.952 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]

Therefore :-

The volume of the composite solid is 303.952 m³.

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

Bernadette says that the plotted point is located at (−5, −41 2 ). What is Bernadette's error?

A She switched the x- and y-coordinates.
B Both coordinates should be positive values.
C The x-coordinate should be 5.
D The y-coordinate should be Negative 3 and one-half.

Answers

Answer:

It D

Step-by-step explanation:

Answer:

   She switched the x- and y-coordinates.

   Both coordinates should be positive values.

   The x-coordinate should be 5.

The y-coordinate should be -3 1/2

Khan academy Help please

Answers

Answer:

1)quotient, 2)sum, 3)difference, 4)product

Step-by-step explanation:

A quotient is always the answer to a division problem.

A product is always the answer to a multiplication problem.

A difference is always the answer to a subtraction problem.

A sum is always the answer to a addition problem.

Answer:

mm dont mind me

Step-by-step explanation:

I need this quickly please

Answers

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

For the pair of similar solids, find the value of the variable.
A. 3 cm
B. 18 cm
C. 16 cm
D. 2 cm

Answers

Answer:

2cm..................

The answer would be 2 cm because you divide 15 by 6 you would get 2.5. Then divide 5 by 2.5 and you would get 2.

What is 7 1/5 written as a percent

Answers

Answer:

720%

Step-by-step explanation:

Answer:

720 %

Step-by-step explanation:

Method 1

If 1 is equal to 100 percent, then 7 would be 700 percent. 1/5 is equal to 20 percent. If you add 700 % and 20 % you will get 720 %

Method 2

7 1/5 is equal to  

7/1 × 5/5 + 1/ 5 = 35/5 + 1/5 = 36/5

We know that 36/5 is the same as 36 ÷ 5

36 divided by 5 gives us 7.2

Convert the decimal to a percent:

7.2 × 100 = 720%

Hope this helps :)

PS. PLZZZZZZZ GIVE ME BRAINLIEST!!!!

(SAT Prep) Find the value of x.
Please help me

Answers

Answer:

lelelleleellelelellelellelelelrlrlelel

X should equal 80. This is because the two arrows show parallel lines. The 40 degrees is an alternate interior angle. 120 - 40 = 80, x = 80

The diameter of a circle is 4 cm. Find its area in terms of \piπ.

Answers

Answer:

Area of circle = 4π.

Step-by-step explanation:

Given the following data;

Diameter = 4cm

Pie = π.

To find the area of the circle;

Radius = diameter/2

Radius = 4/2

Radius = 2cm

Area of a circle = πr²

Substituting into the equation, we have;

Area of circle = π*2²

Area of circle = 4π.

the circle has been divided into 5 equal parts point point Tis the center of the circle.​

Answers

its 36 degrees i did that test

Plzzz help meeee I am timeddddd!!

Answers

Answer:

9.75 is the answer rounded to 10.

10 is the final answer

Hope it helps!!!

Say if my answer is correct....

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