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Nookie1986 [14]
2 years ago
5

12-2x=-2(y-x), solve for x

Mathematics
1 answer:
Romashka [77]2 years ago
8 0

Solve: 12 - 2x = -2(y - x)

Steps:

1. Expand -2(y - x): -2y + 2x

12 - 2x = -2y + 2x

2. Then subtract 12 from both sides

12 - 12 - 2x = -2y + 2x - 12

3. Simplify,

-2x = -2y + 2x - 12

4. Then, subtract 2x from both sides

-2x - 2x = -2y + 2x - 2x - 12

5. Simplify,

-4x = -2y - 12

6. Then, divide both sides by -4

-4x/-4 = -2y/-4 - 12/-4

7. Simplify,

x = 1/2y + 3 <======= <em>Answer</em>


Hope this helped!!!!

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Ten students compared the amount (in dollars) they spent on books each week. The box plot shows the results. The median amount t
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The median is 50.
The first quartile is 20, the third is 65, the difference is 45.
7 0
2 years ago
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Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of
QveST [7]

Answer:

80ft

Step-by-step explanation:

8 0
2 years ago
Josephine bought 8 packets of biscuits. Each packet had a mass of 500 g
Nataly_w [17]

Answer: 985 g

Step-by-step explanation:

Total mass = 8 × 500g = 4000g

Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.

4000g = X + Y + Z

let's put X and Z in terms of Y, since we're trying to solve for the second pack.

X = 2Y, and Z = Y + 60

Therefore,

4000 = X + Y + Z

4000 = 2Y + Y +Y + 60

4000 = 4Y +60

4000 - 60 = 4Y

3940 = 4Y

3940 ÷ 4 = Y

985g = Y = mass of the second pack

7 0
2 years ago
9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.2
Sladkaya [172]
Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).


5 0
2 years ago
A survey on healthy choices was given to gym members at Work It Out. The results
irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank  protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank   protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members  who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

                                        Medication   Not Medication      Total

Drank shakes                       27                   63                      90

Doesn't Drank shakes          1                      9                        10

Total                                      28                   72                     100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: \frac{72}{100}=0.72

Hence, the correct option is 4) 0.72.

5 0
2 years ago
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