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arlik [135]
3 years ago
15

John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? H

ow much does Karen weigh?
Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
5 0

Answer:john weighs 375 pounds.

Karen weighs 125 pounds

Step-by-step explanation:

Let x represent the weight of John.

Let y represent the weight of Karen.

John weighs three times as much as Karen. This means that

x = 3y

Two times John's weight plus Karen's weight is 875 pounds. This means that

2x + y = 875 - - - - - - - -1

Substituting x = 3y into equation 1, it becomes

2 × 3y + y = 875

6y + y = 875

7y = 875

y = 875/7 = 125

Substituting y = 125 into x = 3y. It becomes

x = 3 × 125 = 375

Leokris [45]3 years ago
3 0

Answer:

John- 375

Karen- 125

Step-by-step explanation:

Answer 1...

j =3k

2j + k = 875

substituting the first eqn into the 2nd

2(3k) + k = 875

6k+ k =875

7k = 875

k =875/7 =125

thus j = 3(125) =375

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Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

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, where p = prior estimate of population proportion.

E= Margin of error.

z_c = z-value for confidence interval of c.

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From the z-value table , the z-value for 95% confidence interval = z_c=1.96

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61  

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Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

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n=0.2379\times9604=2284.7916\approx2285

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Assoli18 [71]

Answer:

5/6

Step-by-step explanation:

You write the question as such: 5/9 divided by 2/3.

After that, you keep the first fraction, flip the sign and the fraction.

You will get: 5/9 multiplied by 3/2.

When you get this, you then cross multiply and simplify as such.

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Please help! (85 points)
allochka39001 [22]
Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.

(x-22 + x-17 + 3x+19) = 180
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Divide both sides by 5:
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Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
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Angle A = 18 degrees

Good luck! If you need me to explain anything, just ask :))
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Answer:

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Step-by-step explanation:

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Answer:

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