Find the value f x,
[tex]7x-\left(x-12\right)=32-4x[/tex]

Answers

Answer 1

Answer:

x = 2.

Step-by-step explanation:

7x - (x - 12) = 32 - 4x    Distributing the negative over the parentheses:-

7x - x + 12 = 32 - 4x      Bringing like terms together:-

7x - x + 4x = 32 - 12       Simpifying:

10x = 20

x = 2.

Answer 2

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

In order to solve for the variable [tex]x[/tex], simply move all terms with the variable to one side and all constants to the other. [tex]7x-(x-12)=32-4x[/tex] => [tex]7x-x+12=32-4x[/tex] => [tex]6x+12=32-4x[/tex] => [tex]10x=20[/tex] => [tex]x=2[/tex].

You can check this answer by plugging it back into the equation as a substitute for the variable. [tex]7(2)-(2-12)=32-4(8)[/tex] => [tex]14-(-10)=32-8[/tex] => [tex]24=24[/tex], since the equation is true, this proves that x = 2 is the correct answer.


Related Questions

A bowl of cereal weights 60g.Is that more or less than 1 kg?

Answers

Answer:

Less than 1 kg

Step-by-step explanation:

1 gram = 0.001kg

So 60g = 0.06kg

An area of 3.5m² is the same as 350000mm². True or false. Justify your answer

Answers

No, because to convert meter to millimeter you'll have to multiply the length value by 1000 which will give you 3500.

3.5 × 1000

= 3500.

have a great day!

no because 3.5 times 1000= 3500

hope this helps

Evaluate cos 300' without using a calculator,
2
O A. 1 /
O B. 1
о
c
va

Answers

Answer:

[tex]Cos \ 300 = \dfrac{1}{2}[/tex]

Step-by-step explanation:

  [tex]\sf \boxed{Cos \ (2\pi - \theta) = Cos \ \theta}[/tex]

Cos 300 = Cos ( 360 - 60)

               = Cos 60

               [tex]\sf = \dfrac{1}{2}[/tex]

If the two spinners below are spun, what is the probability that the numbers will match?

Answers

Answer:

Example: If the spinners is divided into 4 than it will be 1/4 or if it is divided into 8 than it will be 1/8 .

Step-by-step explanation:

Jane paid for her dinner with a $50 bill. Her bill was $38.63. How much change should she receive?

Answers

Answer:

11.37

Step-by-step explanation:

50 - 38.63 is equal to 11.37

Answer:

11.37

Step-by-step explanation:

If that bill is the total, tax and all, then its a simple subtraction problem.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

2 1/2

Step-by-step explanation:

Turn both fractions into improper fractions, multiply the whole number by the denominator and add the numerator.

4 3/4

4 * 4 + 3 = 19

19/4

2 1/4

2 * 4 + 1 = 9

9/4

Now since she drank 2 1/4 gallons of juice, subtract 9/4 from 19/4.

19/4 - 9/4 = 10/4

Now turn back into a mixed fraction, do this by putting 4 into ten twice and taking the remainder and putting it as numerator:

4 * 2 = 8

10 - 8 = 2

2 1/2

HELP URGENT!!! The surface area of a globe is about 1018 in^2. What is the diameter of the globe? Round to the nearest whole number.

PLS EXPLAIN THE STEPS

Answers

The diameter of the spherical globe that has a surface area of about 1018 in.² is: 18 inches.

What is the Surface Area of a Sphere?

Surface area = 4πr², where r is the radius, which is half of the diameter.

The globe is a sphere with a surface area of 1018 in.².

1018 = 4πr²

Solve for r

1018 = 4πr²

1018/4π = r²

81.0 = r²

r = √81.0

r = 9 in.

Diameter = 2(r) = 2(9)

Diameter of the sphere = 18 in.

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Family B lives in Boise, Idaho. Their total household monthly income is $4,675.

Use the graph to calculate the central angle of each section for Family B. Then, complete the following table. Note: Express each angle measure as a number, rounded to the nearest tenth of a degree.


Family B

1. Housing

° ____

2. Food

° ____

3. Childcare

° ____

4. Transportation

° ____

5. Insurance

° ____

6. Other Needs

° ____

7. Taxes

° ____


Best answer gets brainliest!

Answers

Answer:

See below

Step-by-step explanation:

The pie chart gives the percentage of the $ 4675 that goes to each expense

Housing     16 %        .16* 4675 = $ 748

Food           16%        .16 * 4675 = $748

Childcare    18%       .18 * 4675 =  $ 841.50

Trnsport       13%      .13 * 4675 = $ 607.75

etc      I think you can do the others---- right ?

8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Answers

Answer:24divided by 16/64

Step-by-step explanation:

8x[7+1]2/4x4/16

8x8/2/4x4/16

48/2/4x4/16

48/2/16/64

24/16/64

There are 110 students on a bus filled with 129 people. What is the ratio of students to teachers?

i need help

Answers

Answer:

110 : 19

students : teachers

please mark as brainliest thank you

hi, um whats 33 divided by 548 whith an remainder ? but no decimal

Answers

Answer:

no calculator?

Step-by-step explanation:

33 /548  w/o  a remainder is... 0  b/c   the answer is  0.0602189781....

your question is not a good question.

Your answer has to be a decimal unless you meant 548 divided by 33 which is 16.6 so it depends on what you’re rounding to

My coach bought 88 cupcakes to split with 11 people, What would my fair share be??
( 1 Person. )

Answers

Answer:

You would get 8 cupcakes

Step-by-step explanation:

Since we're splitting C (cupcakes) with P (people) and we know that c = 88 and p = 11 we have to do the equation c / p or 88 / 11 which equals 8.

Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts. The total was $643.75. What was the cost of labor, per hour?

Answers

Answer:

its $125

thank me later <3

The cost of labor, per hour, will be equal to $125.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts.

The cost for labor per hour is,

TC = 50 + 4.75x

643.75 = 50 + 4.75x

x = ( 643.75 - 50) / 4.75

x = $125

Therefore, the cost of labor, per hour, will be equal to $125.

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HELPPP frenss!!! HURRY j

Answers

Answer:

(2, -7)

x = 2

y = -7

Step-by-step explanation:

Let's solve this system of equations by elimination.

Start by multiplying the first equation by 2:

[tex]2(4x)+2(3y)=2(-13)\\8x+6y=-26[/tex]

Next, multiply the second equation by 3:

[tex]3(-5x)+3(2y)=3(-24)\\-15x+6y=-72[/tex]

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

[tex]8x+6y-(-15x+6y)=-26-(-72)\\8x+6y+15x-6y=-26+72\\23x=46[/tex]

Divide both sides by 23

[tex]x=2[/tex]

Substitute 2 for "x" to solve for "y".

[tex]4x+3y=-13\\4(2)+3y=-13\\8+3y=-13[/tex]

Subtract 8 from both sides:

[tex]3y=-21[/tex]

Divide both sides by 3:

[tex]y=-7[/tex]

Therefore the answer is:

[tex](x, y)=(2, -7)[/tex]

Additional Comments:

Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.

Which is a factor of x2 + 5x – 24?
(xO
(x-6)
O (x + 6)
(8 - x) O
(8 + x) O

Answers

Answer:

D.) (x + 8)

Step-by-step explanation:

Which two values multiply to (-24) and add to (5)?

These values are (-3) and (8):

-3 x 8 = -24

-3 + 8 = 5

As such, the factors include these two values. One of the factors (x + 8), is one of the answer choices.

x² + 5x - 24 = (x - 3)(x + 8)

How to solve 16x-8y=72

Answers

**Kind note:

Since there are two variables in one equation, it is impossible to determine a specific value for x and y. (Unless the trial-and-error method is used).

How to determine the value of x using the equation (16x - 8y = 72)?

To determine the value of "x", we need to isolate the x-variable on one side. The value (or expression) obtained on the opposite side of the x-variable will be the value of x.

How to determine the value of y using the equation (16x - 8y = 72)?

To determine the value of "y", we need to isolate the y-variable on one side. The value (or expression) obtained on the opposite side of the y-variable will be the value of y.

Determining the x-variable:

⇒ 16x - 8y = 72

⇒ 16x = 72 + 8y                            [Adding 8y to both sides of the equation]

⇒ 16x/16 = (72 + 8y)/16                [Dividing 16 to both sides of the equation]

⇒ x = 9/2 + y/2                               [Simplifying both sides of the equation]

x = (9 + y)/2                                     [Combining the denominators]

Determining the y-variable:

⇒ 16x - 8y = 72

⇒ 16x - 8y - 16x = 72 - 16x         [Subtracting 16x both sides of the equation]

⇒ -8y = 72 - 16x                              [Simplifying both sides of the equation]

⇒ -8y/-8 = (72 - 16x)/-8                [Dividing -8 to both sides of the equation]

⇒ -8y/-8 = 72/-8 - 16x/-8

⇒ -8y/-8 = -72/8 + 16x/8

y = -9 + 2x                                  [Simplifying both sides of the equation]

First simplify it to suitable form of slope intercept then you can get values

16x-8y=722x-y=9y=2x-9

The pairs are

(1,-7)(2,-5)(3,-3)(4,-1)(5,1)

And so on

Find the smallest value of k when 280 is a perfect square

Answers

Answer:

i don't know do you play free fire

Annabelle and Navene are multiplying (4275)(4372).




Annabelle's Work Navene's Work

(4275)(4372) = 42 + 375 + 2 = 4577 (4275)(4372) = 42⋅375⋅2 = 46710


Is either of them correct? Explain your reasoning

Answers

Answer:

it means the b that equals the c that equals the d so do the hokey pokey and put booger on paper and answer is 599958

Step-by-step explanation:

well sorry

:D

A taxi ride costs $3 plus $2.50 per mile. Write and graph an equation in two variables that represents the total cost of a taxi ride. Let m represent number of miles and represent the total cost (in dollars) of the taxi ride.
Equation: c=

Answers

Answer:

C = 3 + 2.5M

Step-by-step explanation:

2.5

x

M

2.5M

+

3 =

3 + 2.5M

simplify Squrareroot -50

Answers

Answer:

Simplify the following:

sqrt(-50)

sqrt(-50) = sqrt(-1) sqrt(50) = i sqrt(50):

Answer:  i sqrt(50)

Step-by-step explanation:

PLS HELP
Select all of the pairs of expressions that are equivalent.
A c + d + c + d and 2(c + d)
B 4y + 3y - x and -x + 7y
C 2(3n + 4m) and 6n + 4m
D 8p - 5r and 5r - 8p
E 4j + 6k and 2(2j + 3k)

Answers

Answer:

A

B

E

Step-by-step explanation:

For A, we can simplify it to 2c + 2d by combining like terms. We can then factor out 2 and get 2(c + d).

For B, we combine like terms and 7y - x. We can move the x in front and get -x + 7y.

For E we can factor out 2 and get 2(2j + 3k).

Hope this helps

A set of equations is given below: equation e: m = 4n 1 equation f: m = 6n 8 which statement describes a step that can be used to find the solution to the set of equations? equation f can be written as m = 6(m − 1) 8. equation f can be written as m = 4(m − 8) 1. equation f can be written as 4n 1 = 6n 8. equation f can be written as n 1 = 6n 8.

Answers

The statement that describes a step to find the solution to the set of equations is the equation f can be written as 4n + 1 = 6n + 8

How to solve the equation?

The system of equations is given as:

m = 4n + 1

m = 6n + 8

To solve the equation, we simply substitute 4n + 1 for m in the second equation.

So, we have:

4n + 1 = 6n + 8

Hence, the equation f can be written as 4n + 1 = 6n + 8

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Solve the equation 7=-10s-3

Answers

S=-1 is your answer!

Answer:

s= -1

Step-by-step explanation:

I believe 7=-10s-3

(s=-1)

The circumference of a circle is 18π ft. What is the area, in square feet? Express your answer in terms of \piπ.
HELp pls

Answers

Answer:

A = 81 pi  ft^2

Step-by-step explanation:

We know the circumference of a circle is given by

C = 2 * pi *r

18 pi = 2 * pi *r

Divide each side by 2 pi

18 pi / ( 2pi) = 2 pi r / ( 2pi)

9 = r

We can find the area by

A = pi r^2

A = pi ( 9)^2

A = 81 pi  ft^2

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Find the mode of the data

Answers

Answer:

shoe size (US) 6

Step-by-step explanation:

Mode = most frequently occurring data value

From inspection of the table, we can see that the highest frequency (most number of women) is 20, so therefore the modal class of the data is shoe size (US) 6.

Answer:

Shoe Size (US) = 6

Step-by-step explanation:

The mode of the data is the modal class with the highest frequencyIt is 20, present in the 4th columnIts corresponds with the modal class : Shoe Size (US) = 6



A wall in Alex and Carla Dinu's garden is to be built using brick that is 5 3/8 inches wide and a mortar joint that is 3/4
inch wide. Using the diagram, what is the height of the wall?

Answers

Answer: 29 7/8

Step-by-step explanation:

The height of wall will be 29.875 inch.

How to measure height of the wall?

The height of the wall can be measured by the sum of total height of bricks and the height of mortar joint between the bricks.

According to question there is 4 mortar joint and 5 rows of bricks.

How to determine the no. of mortar joint?

1 mortar joint is situated between 2 bricks. So, if the no. of bricks is n, then mortar joint between them will be n-1.

So, width of one mortar joint is= 3/4 inch

Width of 4 mortar joints = (3/4)*4=3 inch

width of one brick is= 5.375 inch

Width of 5 bricks = 5.375*5=26.875 inch

Height of the wall

= width of 4 mortar joints + width of 5 bricks

= 3+26.875

=29.875inch or 29 7/8 inch

Therefore, the height of wall will be 29.875 inch.

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What are the solutions to this quadratic equation?


x^2 + 13= 8x +37


A. X = 4 V10

B. X = –2 + 4v10

C. X = –4 4/10

D. X= 4 2V10

Answers

Answer:

B.

Step-by-step explanation:

x² + 13 = 8x + 37

The fare charged by a taxi company is described by the linear equation y=3.5x +4.5, where x is the number of miles traveled and y is the tota cost. What is the rate of change, in dollars per mile?

$3.50 per mile

$10.00 per mile

$4.50 per mile

$8.00 per mile​

Answers

Answer:

$3.50 per mile

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given linear equation: [tex]y=3.5x+4.5[/tex]

(where x is the number of miles traveled and y is the total cost)

The rate of change is the slope of the linear equation.

Therefore, the rate of change is $3.50 per mile.

y=3.5x+4.5

Compare to slope intercept form of line

Slope=m=3.5

Now

Rate of change=slope

Rate of change

$3.50 per mile



Bro Can somebody pls help me

Answers

i think the answer would be 95% because out of 82 people 78 use fb so you have a fraction now 78/82. then you would divide 78 and 82 then you get .95121951219 in other words 95% hope this helps :3

Can anyone help me with this?

Answers

Answer:

a. x=4 or x=−10

b. x= 3/2 or x= −8

Step-by-step explanation:

(FOR LETTER A)

Step 1: Factor left side of equation.

(x−4)(x+10)=0

Step 2: Set factors equal to 0.

x−4=0 or x+10=0

x=4 or x=−10

(FOR LETTER B)

Step 1: Factor left side of equation.

(2x−3)(x+8)=0

Step 2: Set factors equal to 0.

2x−3=0 or x+8=0

x= 3/2

or x= −8

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