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3 years ago

In a week, 17 hens laid 85 eggs. What is the unit rate for eggs per hen?

1 answer:

azamat3 years ago

6 0

The unit rate is 5.

Here's why:
17 is a multiple of 85. To find the unit rate of eggs for 1 hen, you divide 85 divided by 17 which equals 5. So, for every 1 hen there are 5 eggs layed.

I hope this helps:)

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When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.

koban [17]

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

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3 years ago

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How much chocolate will each person get if 3 people share 1/2 pound of chocolate equally?

eimsori [14]

1/6 pound of chocolate for each person ( 1/2 / 3 ).

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3 years ago

The function g is defined as follows.

Radda [10]

Answer:

h(x) = 2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) = 2x²+7 - 5

h(x) = 2x²+2

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3 years ago

The table shows the height of a plant as it grows. Which equation in point slope form gives the plant’s height at any time

vodka [1.7K]

Answer:

Option A is correct.

$y-16=8(x-2)$ is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points $(x_1, y_1)$ and $(x_2, y_2)$ then,

the general form

$y-y_1=m(x-x_1)$ for linear equations; where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

$m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2}$ = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

$y-y_1=m(x-x_1)$

Substitute the value of m=8 and (2, 16) above we get;

$y-16=8(x-2)$

Therefore, the equation in point slope form which gives the plant's height at any time is; $y-16=8(x-2)$ , where x is the time(months) and y is the plant height (cm)

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3 years ago

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The sum of 5 times a number and <br> minus −2, plus 7 times a number

Olenka [21]

Answer:

12x + 2

Step-by-step explanation:

Let the number be represented by x.

Then five times the number = 5*x

Seven times the number = 7*x

Sum of 5 times the number minus -2 = $5*x - (-2)$ = $5x +2$