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aksik [14]
3 years ago
8

1/2 x + y = 8 and 2y = x + 14 pls show your work thx

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

9514 1404 393

Answer:

  (x, y) = (1, 7.5)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second equation.

  y = 8 -1/2x . . . . . subtract 1/2x

  2(8 -1/2x) = x +14

  16 -x = x + 14 . . .eliminate parentheses

  2 = 2x . . . . . . . add x-14

  1 = x . . . . . . . . divide by 2

  y = 8 -1/2(1) = 7 1/2

The solution is (x, y) = (1, 7 1/2).

__

<em>Alternate solution</em>

Type the equations into a graphing calculator and let it show you the solution.

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Three swimmers competed in a 50 m freestyle race. A description of their swimming speeds is given. Order the swimmers from first
alexandr1967 [171]

Answer:

terrance then mike then nathan

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccol
rjkz [21]

Answer:

27405

Step-by-step explanation:

There are 6 different variants available for each croissant. There are 26 croissants in all out of which 1 is plain. We use combination and permutation technique to identify different ways to choose croissant.

[5 + 26 - 1 ] 26 = 30C26 = 27405.

5 0
3 years ago
A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia
lana [24]

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

4 0
3 years ago
Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups
irakobra [83]

Answer:

56 groups of 5 Fabergé eggs can be taken.

Step-by-step explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:

8C_{5}=\frac{8!}{5!(8-5)!}

8C_{5}=\frac{8!}{5!3!}

8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}

8C_{5}=56

Thus, 56 groups of 5 Fabergé eggs can be taken.

8 0
4 years ago
3/8 + 1/4 + 1/2 - 2/3 =
Nostrana [21]

Answer:

\frac{11}{24}

Step-by-step explanation:

3/8 + 1/4 + 1/2 - 2/3

- > 1/4 =  2/8

3/8 + 2/8 + 1/2 - 2/3

5/8 + 1/2 - 2/3

- > 1/2 = 4/8

5/8 + 4/8 - 2/3

9/8 - 2/3

- > LCM of 8,3: 24

- > 9/8 = 27/24

- > 2/3 = 16/24

27/24 - 16/24

11/24

Hope this helps you.

7 0
3 years ago
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