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kati45 [8]
3 years ago
11

The sum of two numbers are 50 in the quotient is four

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

The numbers are 40 and 10

Step-by-step explanation:

Let the numbers be x and y

According to given conditions:

x + y = 50  .......... eq 1

x/y = 4 ................. eq 2

Taking eq 2

x/y = 4

Multiplying both sides by y

y * x/y = 4 * y

x = 4y

Putting value of x in eq 1 we get

x + y = 50

4y + y = 50

5y = 50

Dividing both sides by 5

y = 50/5

y = 10

Putting y = 10 in eq 1 we get

x + y = 50

x + 10 = 50

Subtracting 10 from both sides

x + 10 - 10 = 50 - 10

x = 40

So the numbers are 40 and 10

Proof:

As

40 + 10 = 50

and

40/10 = 4

hence proved

I hope it will help you!

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An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular
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Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

Correlation coefficient = r = 0.649

Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

This means that 42.1% of variation in the response is explained by the regression line.

5 0
3 years ago
Can you help me i got two wrong if I get one wrong I will have a falling grade
KIM [24]

Answer:

the bottom left is wrong

Step-by-step explanation:

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5 0
3 years ago
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The candle factory made 498 red candles and 204 white candles each day. About how many candles did the factory make in a day alt
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Answer:

about 700

Step-by-step explanation:

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The garden club earned $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their ear
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The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.
mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

A=\frac{k}{B}

Where k is the proportionality constant  [that we need to find]

For this problem, we can write the ratio as:

N=\frac{k}{C}

Now given N = 480 and C = 4.90, we first find k:

N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352

Now, as second step, we need this time to find N, when

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Note, we know know k = 2352, so we find N:

N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55

Rounding to next whole number, we have 436 items

5 0
3 years ago
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