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Solve each equation for the variable. Show every step in your work


1. 2(x+12)=20

2. -4x-2=10

Answers

Answer 1

Answer:

Answers are below :)

Step-by-step explanation:

Q1- Divide both sides by 2

       x +12 = 20/2

Simplify 20/2 to 10

x + 12 =10

Subtract 12 from  both sides

x = 10 - 12

Simplify 10 - 12 to -2

x = -2

Q2. Add 2 to both sides

-4x = 10 + 2

Simplify 10 + 2 to 12

-4x=12

Divide both sides by -4

x = -12/4

Simplify 12/4 to 3

x = -3

Answer 2

Answer:

1. x=-2

2. X=-3

Step-by-step explanation:

1. 2(X+12)

  2x+24=20

  2x= -4

  x= -2

2. -4x-2=10

   -4x=12

   x=-3


Related Questions

the value of the expression when t-32 degrees is what degrees

Answers

Complete Question:

The temperature doubled.  Evaluate when t = 32 degrees.

The value of the expression when t = 32 degrees is  degrees

Answer:

64 degrees

Step-by-step explanation:

Given

[tex]t = 32[/tex]

Required

Determine the value of t when it doubles

To do this, we simply multiply the current temperature by 2.

So:

[tex]t = 32[/tex] becomes

[tex]t = 32 * 2[/tex]

[tex]t = 64[/tex]

Hence, the temperature when it doubles is 64 degrees

0.21875 km is ___ % of 1750 m.​

Answers

Answer:

12.5%

Step-by-step explanation:

0.21875km=218.75m

218.75m×100÷1750m=12.5%

2) Unit rate is the price, or quantity, or distance of many items
O True
O
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It is is a ratio comparing quantities of different items with 1 in the denominator. Technically the price, quantity, or distance of one item.

Example

If Nancy buys 20 items for $180 dollars, what is the unit rate of the item's price

$180/20 = $9 per item (9/1)

X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2

Answers

What is the question to simplify??

there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?

Answers

Answer=4:20 I think that’s the answer

HELP CALCULUS 25 POINTS

Answers

Answer:

A.) Max at x = 6 and Min at x = -6

Step-by-step explanation:

We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.

plz tell me 12 x 12 = and 12 x 13 =

Answers

Answer:

12 x 12 = 144, 12 x 13 = 156

Step-by-step explanation:

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage.

If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25

Answers

Answer: D

Step-by-step explanation: Use money chip calculator

suma de fraccion 1/5 + 5/8​

Answers

33/40

Step-by-step explanation:

you have to look for the lcm

1/5+5/8

8/40+25/40=33/40

Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the linear relationship between the total cost, y, and the number of books Adam rents, x. Fill in each box to correctly model the relationship between x and y. Number of books rented, x 3 6 12 15 Total Cost, y $31.00 $ $43.00 $ $55.00

Answers

Answer:

Do you have a screenshot of the table? I’m struggling to visualise it with the data given.

Step-by-step explanation:

Answer:

$37.00 9 $49.00

Step-by-step explanation:

61 meters = _____ feet

I'LL GIVE BRAINLIEST!

Answers

Answer:

200.131234

Step-by-step explanation:

Guys I will mark brainliest if you get this right

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]

alg 2 complex numbers in standard form! please help me :(

Answers

Answer:

B

Step-by-step explanation:

Refer to the picture that given

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have won 12. If the team continues winning at this rate, what will be the percent error of the newspaper's estimate once the season is over? Round to the nearest percent​

Answers

Answer:

4

Step-by-step explanation:

The percent error of the newspaper's estimate once the season is over will be 4%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.

Then the percentage will be given as,

P = (25 / 30) x 100

P = 0.8333 x 10

P = 83.33%

After 15 matches, they won 12. Then the percentage will be given as,

P = (12 / 15) x 100

P = 0.80 x 100

P = 80%

If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be

P = [(83.33 - 80) / (83.33)] x 100

P = 0.04 x 100

P = 4%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Jenny enjoys crocheting so she has decided to make and sell crocheted hats and crocheted scarves to make money for a trip she would like to take this coming summer. She is going to sell her scarves for $5 each and her hats for $10 each. In order to go on the trip, Jenny needs to make at least $200.

Answers

so what’s the question?

Answer:

Step-by-step explanation:

so the whole question is as follows

If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :​

Answers

Answer:

The equation is y = 2x² + 7x + 5

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c

The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]

∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]

∵ The product of the roots is [tex]\frac{5}{2}[/tex]

→ By using the rules above

∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]

∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]

→ Compare between them

a = 2

∴ -b = -7 ⇒ divide both sides by -1

b = 7

c = 5

∵ The form of the quadratic function is y = ax² + bx + c

→ Substitute the values of a, b, and c in it

∴ y = 2x² + 7x + 5

The equation is y = 2x² + 7x + 5

The rate of 225 mi in 7 hr written as a unit rate

Answers

Answer:

32.14 an hour

Step-by-step explanation:

Answer:

32.142857 miles per hour

Step-by-step explanation:

This is the answer because:

This is a fraction equal to

225 miles ÷ 7 hours

We want a unit rate where  1 is in the denominator,  so we divide top and bottom by 7 .

225/7 = 225/7 and 7/7 =  32.142857/1

Therefore, the answer is  32.142857 miles per hour.

Hope this helps!

What is the answer, I need one quick!

Answers

Answer:

13, 106 and 254

Step-by-step explanation:

If 4% of a number is 8, find 1% of that number.


How do I solve this problem?

Answers

Answer:

2

Step-by-step explanation:

First, find the number by dividing 8 by 0.04

8/0.04

= 200

Then, find 1% of 200 by multiplying it by 0.01:

200(0.01)

= 2

So, 1% of the number is 2.

Answer:

The answer is 2

Step-by-step explanation:

4%x5=20% and 8x5=40, 20%x5=100% and 40x5=200 and 1% means you move the decimal to the left twice so it is 2, my explanation  might be wrong but I know my answer is correct:

)

A poll commissioned by Friends of the Earth and conducted by the Mellman Group found that 72% of American voters are in favor a carbon tax. Suppose that six voters in the United States are randomly sampled and asked whether they favor a carbon tax. Determine the probability that the number answering in the affirmative is a. Exactly four. b. At least two

Answers

Answer:

a

  [tex]P(X = 4) = 0.31599[/tex]

b

 [tex]P(X  \ge 2) = 0.9921  [/tex]

Step-by-step explanation:

From the question we are told that

    The proportion in favor of carbon tax is  [tex]p = 0.72[/tex]

    The sample size is  n  = 6

Generally the distribution of poll  follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators      

   Generally the probability that the number answering in the affirmative is  4 is mathematically represented as

       [tex]P(X = 4) =  ^{6}C_4 *  (0.72)^4 *  (1- 0.72)^{6-4}[/tex]

=>     [tex]P(X = 4) = 0.31599[/tex]

   Generally the probability that the number answering in the affirmative is At least two is mathematically represented as

     [tex]P(X  \ge 2) =  1 -  P( X <  2 ) [/tex]

     [tex]P(X  \ge 2) = 1- [ P(X =  0 ) + P( X = 1)] [/tex]

=>  [tex]P(X  \ge 2) = 1- [ [ 1 *  1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]

=>    [tex]P(X  \ge 2) = 1- [ 0.00791 ] [/tex]

=>    [tex]P(X  \ge 2) = 0.9921  [/tex]

If a decimal is only in the ____, you can move it up into the quotient

Answers

Answer:

Divident

Step-by-step explanation:

please help!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?​

Answers

Answer:

$8.95

Step-by-step explanation:

Last year Jeremy weighed 70 bounds this year he weights 84 pounds by what percent did Jeremy weights increase from last year to this year

Answers

14%I think hopefully

Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?

Answers

1. 70 dimes and 33 quarters
2. 18 dimes and 9 nickels
3. 236 adults and 342 children
4. 12 quarters, 9 dimes
5. 9 nickels, 18 dimes

Which list shows the number in order from greatest to least? Help asap

Answers

Answer:

D

Step-by-step explanation:

Answer For Brainliest

Answers

Answer:

the answer is D

Step-by-step explanation:

ian's car can go 99 miles on 3 gallons of gas During a drive last​ weekend,Ian used 7 gallons of gas.How far did he drive?Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas He used. He drove____ miles.

Answers

Answer:

The answer would be 231 miles.

Step-by-step explanation:

This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.

He drove 231 miles I think

The equation of line j is y= -6/7x +7.Line k is perpendicular to j.What is the slope of line k?

Simplify your answer and write it as a proper fraction,improper fraction,or integer.

Answers

Answer:

y=7/6x

Step-by-step explanation:

When given an equation and asked to find the equation of a perpendicular line that intersects it, you know that the slope is the slope of the equation is the negative recipricoal of the given equation. i.e. y=2x+2 and y=-1/2x+2. The y-intercept does not matter.

I hope you understood and that this helps!

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