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elixir [45]
3 years ago
13

280 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three time

s as much as Richard. How much does Natasha get?
Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Answer:

Natasha gets 84

Step-by-step explanation:

Here, we want to know how much Natasha gets

Krutika gets 2 times as much as Natasha

If Natasha gets x, Krutika gets 2x

If Natasha gets x, Richard will get x/3 ( 3 times of this is what Natasha gets)

Now let us have a ratio;

K : N : R

2x : x : x/3

Multiply through by 3

6x : 3x : x

To get the amount Natasha gets, we add up all ratio; (6x + 3x + x ) = 10x

Natasha gets 3x of the total ratio

That will be;

3x /10x * 280

= 3/10 * 280

= 84

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Y varies inversely as x. If y=4 when x=15, find y when x=12
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The value of y given the inverse relationship is 5.

<h3>What is the value of y?</h3>

If two variables vary inversely, as one variable increases, the other decreases in value.

The equation that is used to represent inverse relationship is:

y = k/x

Where k is the constant of proportionality

k = yx

k = 4 x 15 = 60

y = 60 / 12

y = 5

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2 years ago
A parabola passes through the points (2,8), (6,2), and (8,8). what is the x-coordinate of its vertex?
Flura [38]

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

<h3>How to get the x-value of the vertex?</h3>

If we define the parabola by f(x), by looking at the table, we can read:

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So, notice that:

f(2) = f(8).

Then the x-coordinate of the vertex is the midpoint between 2 and 8.

x = (2 + 8)/2 = 5

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

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Answer:

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Step-by-step explanation:

8 0
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a random sample of 500500500 residents of a town included 173173173 residents who primarily spoke a language other than english
NNADVOKAT [17]

If sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%,then the number of residents from 25000 who primarily spoke a language other than english at home will be 9900.

Given that sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%.

We are required to find the number of residents from 25000 who primarily spoke a language other than english at home.

Percentage of residents who spoke language other than english at home=173/500 *100=34.6%

Percentage of margin of error=25/500*100=5%

Number of residents among 25000=25000*34.6%=8650

Margin of error for 25000=25000*5%=1250

Total number of residents who spoke other than english at home=8650+1250=9900 residents

Hence If sample size is 500,number of residents who primarily spoke a language other than english at home is 173, margin of error is 25 and the confidence level is 98%,then the number of residents from 25000 who primarily spoke a language other than english at home will be 9900.

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Graph the function, y=-5x+3
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Graph a point at (0,2)

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