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djverab [1.8K]
2 years ago
9

Solve the absolute value equation.12 + 2x[ = [x - 6]​

Mathematics
1 answer:
Tom [10]2 years ago
6 0

Answer:

x=−18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12+2x=x−6

12+2x=x+−6

2x+12=x−6

Step 2: Subtract x from both sides.

2x+12−x=x−6−x

x+12=−6

Step 3: Subtract 12 from both sides.

x+12−12=−6−12

x=−18

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Tia and Ken sold snack bars and magazine subscriptions for the school fundraiser. Tia sold 16 snack bars and 4 magazine subscrip
Aliun [14]

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

6 0
3 years ago
A nutritionist is interested in estimating the proportion of consumers who look to purchase organic produce. How large of a samp
olga2289 [7]
It 27 because if u do 90% x 3% that will give u 27
7 0
2 years ago
×-2+2×+4+2×-2=180 what does x equal in this equation.
daser333 [38]

Answer:

<u>x = 36</u>

Here's how I got that:

<em>    - Group like terms -</em>

x - 2 + 2x + 4 + 2x - 2 = 180

                    ↓

      5x - 2 + 4 - 2 = 180

                    ↓

              5x = 180

<em>  - Divide both sides by 5 - </em>

<em>         </em>  5x/5 = 180/5

                   ↓

<em>                </em><u><em>x </em></u><u>= 36</u>

<em>~ That's all folks ~</em>

<em>-Siascon</em>

6 0
2 years ago
it takes Renaldo 8 hours to make 7 carvings. how many many hours will it take him to make 63 carvings?
OLEGan [10]
It will take 72 hours to make 63 carvings
5 0
2 years ago
Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between t
Sergio [31]

Answer:

The total area between the squares is of 24 units squared.

Step-by-step explanation:

Area of a square:

The area of a square of side length l is given by:

A = l^2

Area between figures:

The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.

Larger square:

Square with side of length 7. So

A_l = 7^2 = 49

Smaller square:

Square with side of length 5. So

A_s = 5^2 = 25

What is the total area between the squares? ​

T = A_l - A_s = 49 - 25 = 24

The total area between the squares is of 24 units squared.

6 0
2 years ago
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