What value of x satisfies the equation below?
12 ( x - 2 ) + 3 x = 1 2 ( x + 6 ) + 2

Answers

Answer 1

Answer:

x = 32.6666667

Step-by-step explanation:

12(x - 2) + 3x = 12(x + 6) + 2

Distribute;

12x - 24 + 3x = 12x + 72 + 2

Collect like terms;

15x - 24 = 12x + 74

Subtract 12x from both sides;

3x - 24 = 74

Add 24 to both sides;

3x = 98

Divide both sides by 3;

x = 32.6666667


Related Questions


Someone please help due tonight
To encourage new customers, a movie theater is offering a different way to pay for a movie.
Members will pay $5 a year plus $2 per movie
Complete the table that shows the number of movies n and the cost for members C. Include values from 0 to 6.
Movies
0
1
2
3
4
5
6
Cost

Answers

0=$5
1=$7
2=$9
3=$11
4=$13
5=$15
6=$17

find the area of the regular polygon

Answers

Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

Question 3
One angle measures seventeen more than three times a number..
Another angle measures 7x + 3. What is the value of x if these two
angles are supplementary?

16
O 18
28
O 60

Answers

The answer is a) 16.

If you purchase a DVD player that costs $625, and the tax rate is 8%, how much will it cost?​

Answers

Answer:

675

Step-by-step explanation:

8%=$50

Answer:

$675

Step-by-step explanation:

Since tax is an added 8% you are in sense paying for 100% of the DVD and 8% for tax, or 108% of the DVD player. Now convert percent to decimals by dividing by 100 to get 1.08. Now you can multiply 1.08 x $625 and get $675

can someone teach me how to write this in standard form ?

Answers

Answer:

2x + 5y = 7

Step-by-step explanation:

Here, 2x = 7 - 5y is given

The Standard form of equation is

Ax + By = C

Here, Ax = 2x; By = -5y; C = 7

Now, we get

2x = 7 - 5y

2x + 5y = 7

Here we get Ax = 2x; By = 5y; C = 7

Thus, The Standard form of equation is

2x + 5y = 7

-TheUnknownScientist

2x+5y=7 is the answer

Find the area of this trapezoid. The Bases are 8
inches and 2.2 inches. The height is 4 inches.

Answers

Answer:

20.4 in²

Step-by-step explanation:

Area formula

A = 1/2(b1 + b2)hA = 1/2(8 + 2.2)*4 = 10.2*2 = 20.4 in²

-3 (3c + 5) = 2 (10 - c)

Answers

Answer:-5

Step-by-step explanation:

You need to distribute on both sides so u get

9c-15=20-2c

Move variable to left side and change the sign

-9c+2c-15=20

Move constant to right side and change the sign

-9c+2c=20+15

Connect like terms

-7c=35

Divide

C=-5

what is f(4) for the function f(x)=3x+5

f(4)= ___

Please help its a test question

Answers

Answer:

17

Step-by-step explanation:

f(4)=3×4+5

=12+5

=17

1/2 (2y-6) = 24

1/4 (4-y) = 10 + 24

2 (2y-3) = 4y-6

1/3 (6y-9) = 24 - 3

I think they’re linear equations but I don’t know what to do. The directions say to solve if possible??

Answers

i jus don’t kno at alll

Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. ​

Answers

Answer:

the answer would be 178$

Step-by-step explanation:

find out the rest

A rectangle has a length of (x + 4) centimeters and a width of 2/4 x centimeters. If the

perimeter is 35 centimeters, what is the length of the rectangle?

A: 3cm

B: 9cm

C: 13cm

D: 7cm

Answers

Answer:

C: 13cm

Step-by-step explanation:

Given;

length of the rectangle, L = (x + 4) cm

width of the rectangle, W = [tex]\frac{2}{4}x[/tex] cm

perimeter of the rectangle, P = 35 cm

The perimeter of a rectangle is given as;

P = 2(L + W)

Substitute the givens;

[tex]35 = 2[(x+ 4) + \frac{2x}{4} ]\\\\35 = 2[\frac{6x}{4} +4]\\\\35 = 3x+8\\\\3x = 27\\\\x = \frac{27}{3}\\\\x = 9[/tex]

Then, L = (x + 4) cm

L = (9 + 4) cm

L = 13 cm

Therefore, the length of the rectangle is 13 cm

Kristi gets $10 a week from her parents if she washes the dishes after dinner every night. Kristi has saved up $30 over the last few weeks from her allowance. She wants to continue saving her allowance until she has enough money to buy the $7o bike she saw at the store last week. Assuming Kristi receives her allowance every week, write an equation that shows how many more weeks Kristi has to save her allowance to buy the bike, where w is the number of weeks. You can solve the equation to check your answer.

Answers

Answer:

10w = 70-40

Step-by-step explanation:

To get to $70, Kristi has to work 10w. She has already earned $30 and needs to earn the remaining in 10w. Thus,

10w = 70-30

10w = 40

w = 4

She needs to work for 4 more weeks to buy the bike.

10w+30=70 is the equation
10w+30=70
10w=40
w=4

At 8:00 am, the temperature was -10°F. The temperature dropped 3 degrees per hour for the next 5 hours. What was the temperature at 1:00 pm?

Answers

Answer:

-25 °F

Step-by-step explanation:

First, we would be multiply 3 by 5 to find the number we would be subtracting from the original

3 * 5 would give us 15

Then we subtract -10 by 15 and get -25 °F

The temperature at 1:00 PM would be -25 °F

Melissa earned $17 for 2 hours walking her dogs. Last week sh walking dogs for 8 hours how much did she make last week

Answers

Answer:

she made $68 last week.

Answer:

$68

Step-by-step explanation:

you need to divide 8 by 2 which is 4

then multiply 4 by 17 which equals 68.

Find the total area of the composite figure.
Plz HURRY

Answers

Well since you need one side of the rectangle still, we have to figure out what the total length is of the top of the rectangle. Hope this picture helps.

Answer:

71

Step-by-step explanation:

Solve 4(x-1) = 2(6-2x)

Answers

Answer:

x=2

Step-by-step explanation:

4(x-1) = 2(6-2x)

x=2

Answer:

x=2

Step-by-step explanation:

4(x-1)=2(6-2x)

4x-4=12-4x

Add 4 to both sides

4x=16-4x

Add 4x to both sides

8x=16

Divide by 8 on both sides

x=2

determine the intercepts of the line​

Answers

-8 is x Intercept and -6 is y intercept

Answer:

X-Intercept: (-8,0)

Y-Intercept (0, -6)

Step-by-step explanation:

The x intercept is where the line intercepts with the line where y is 0, which is the dark horizontal line on the graph. The y intercept is founf the same way instead on the dark vertical line where x is 0.

plllllzzzzzz answer hurrrryyyyyy
y − 6 ≥ −8

Answers

Answer:

Inequality form: [tex]y\geq -2[/tex]

Interval notation: [-2,∞)

Step-by-step explanation:

Add  6  to both sides of the inequality.

y ≥ − 8 + 6

Add  − 8  and  6 .

y ≥ − 2

The result can be shown in multiple forms.

Inequality Form:

y ≥ − 2

Interval Notation:

[ − 2 , ∞ )


Mr. Gonzales started 16 yards away from the motion detector, and 2 seconds later he was 8 yards away from the motion detector. The graph shows Mr. Smith's motion. What is the rate if change over the interval [1,2] and [2,8]

Answers

Answer:

im almost 100% sure its 2

Step-by-step explanation:

if you simplify them, the difference is 2

write an equation of the line. slope 2/3 , passes through (- 2, - 6)

Answers

Answer:

y=2/3-6

Step-by-step explanation:

write this number in scientific notation 5.738,000

Answers

Answer:

Step-by-step explanation:

5,738.00= 5.738*10^3

A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?

A) Approximately 7–9 pounds
B) Approximately 6–10 pounds
C) Approximately 5–11 pounds
D) Approximately 4–12 pounds

Answers

The correct Answer is 6-19 pounds

special right triangles

Answers

Answer:

what is that a question or...

Answer:

what?? if your talking about the angle of one, that would be 90 degrees.

Determine two numbers that have a product of 40 but have a sum of 13.

Answers

Answer:

The two numbers are 8 and 5.

Step-by-step explanation:

Let consider x and y to be these two numbers.

So;

(x) * (y) = 40 ---- (1)

x + y     = 13 ----- (2)

From (2), let x =  13 - y

Then;

(13 - y) * y = 40

13y - y² = 40

13y - y² - 40 = 0

-y² + 13y - 40 = 0

Multiply through by (-)

y² - 13y + 40 = 0

By factorization;

(y - 8) (y - 5) = 0

y = 8 or  y = 5

CHECK:

8 * 5 = 40

8 + 5 = 13

Therefore, the two numbers are 8 and 5.

In △ABC, ∠C is a right angle and sinB=725.

What is the value of cosA?
A
725

B
1725

C
1825

D
2425 giving brainliest to whoever answers correctly

Answers

9514 1404 393

Answer:

  A  7/25

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement. In a right triangle, angle A is the complement of angle B. So, ...

  cos(A) = sin(B)

  cos(A) = 7/25

(-4, 18) is a solution to:
y = 5x – 2

Answers

I’m confused on the question.?

Warm Up:
A packet of green plantains has 5 plantains. Felix packs 3/5 of a package every 25
seconds. After packing plantains for 1 2/3 hours, how many packages has he prepared?

Answers

Answer:

166 Packages

Step-by-step explanation:

1 2/3 hours equals 1 hour and 40 minutes.

100/ (3/5)

166 2/3, we remove the 2/3 since its asking for a whole number

Tell whether each relation is a function. {(2, 5), (3, 5), (4, −4 ), (5, −4 ), (6, 8)}

Answers

Answer:

This relation is a function.

Step-by-step explanation:

This relation is a function because a there should be no repeating x-coordinates in the relation for it to be a function and that is exactly what happens in this relation.

Answer:

It is a function.

Step-by-step explanation:

no two different outputs, y, have the same input, x, meaning it passes the vertical line test.

sorry for the lousy explanation

Which expression shows the amount of tax on a t shirt that cost x dollars, if tax is 7%

Answers

Answer:

2nd option: 0.07

Step-by-step explanation:

100% in decimal form is 1.00. S0, 7 is really 0.07. Hope this helps. Mark brainliest if it does!

The expression which represents the amount of tax on a t-shirt that cost x dollars, if tax is 7% is 0.07x.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that,

Cost of t-shirt = x dollars

Tax is 7% which means tax is 7% of the cost of the t-shirt

7% of x ⇒ 7/100 × x = 0.007x

Hence "The expression which represents the amount of tax on a t-shirt that cost x dollars, if tax is 7% is 0.07x".

For more about the percentage,

brainly.com/question/13450942

#SPJ6

I need help on this

Answers

Answer:

No they or not

Step-by-step explanation:

The first on is 60 and the second one is 40

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