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3 years ago

5x - y = 6 -2x +y = 8 What’s the answer

Mathematics

1 answer:

nevsk [136]3 years ago

4 0

Answer:

x= $4\frac{2}{3}$

y= $17\frac{1}{3}$

Step-by-step explanation:

$5x-y=6\\-2x+y=8\\$

Simplify, find the x-value first:

$3x=14\\x=4\frac{2}{3}$

Substitute x-value into any equation (i did the second equation) and simplify:

$-2(4\frac{2}{3})+y=8\\ -9\frac{1}{3} +y=8\\$

$y=17\frac{1}{3}$

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Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

E[X²] = $\frac{91}{\textup{6}}$

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

variance = 15.167 - 3.5²

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

2 years ago

How would you do this???

Kobotan [32]

Answer:

8.3 L/s

Step-by-step explanation:

To find the answer you need to find the slope also known as the rate of change. When you find slope it is always change in y over change in x.

$\frac{399-150}{40-10}$

Then simplify

$\frac{249}{30}$

Then divide to get your slope/average rate of change

$\frac{249}{30}$ = 8.3

6 0

3 years ago

What is the decimal multiplier to increase by 3%?

nlexa [21]

If you want to increase something by 3%, you would ADD 100% to it, so:
3% + 100% = 103%
Then you divide it by 100 to turn it into a decimal, so:
103% / 100 = 1.03
So to increase by 3%, the multiplier would be 1.03

If you wanted to decrease by 3%, you would SUBTRACT 100% from 3%, so:
100% - 3% = 97%
And then you would divide 97% by 100 to turn it into a decimal (multiplier), so:
97% / 100 = 0.97
So to decrease by 3%, the multiplier would be 0.97

7 0

2 years ago

Trophies for Gunther's soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be

Lynna [10]

Answer:

Step-by-step explanation:

c = $6.25 + 0.15w

$6.25 represents the fixed cost. it is the cost that does not vary with the number of words

15 cents is the variable cost. it is the cost that varies with the number of words.

to write the equation convert 15 cents to dollars by dividing by 100.

6 0

2 years ago

The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?

Kobotan [32]

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is $\frac{C}{30}=\pi$ ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

$\frac{C}{d}=\pi$ , where

C is the circumference of the circle
d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ $\frac{C}{d}=\pi$

∵ d = 30 units

∴ $\frac{C}{30}=\pi$

The equation which expresses the ratio of the circumference to the diameter of a circle is $\frac{C}{30}=\pi$

6 0

3 years ago