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Varvara68 [4.7K]

3 years ago

6

In one class ,1/6 of the students raked leaves while the rest picked up trash on the playground . what fraction of the students

picked up trash

1 answer:

bixtya [17]3 years ago

4 0

You can do 1-1/6 (1 represents the whole class)

6/6-1/6
=5/6

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Explain how you change a decimal to a fraction.

maw [93]

Answer:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

7 0

2 years ago

Read 2 more answers

Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of

shusha [124]

Answer:b

Step-by-step explanation:

5 0

2 years ago

Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers

lora16 [44]

Answer:

Part A)

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

$\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}$

Where <em>P</em> is the number of eggs laid, <em>x</em> is the number of workers, and <em>y</em> is the daily operating budget (assuming in US dollars $).

A)

We want to find dy/dx.

So, let’s find our equation in terms of <em>x</em>. We can raise both sides to 10/7. Hence:

$\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}$

Simplify:

$\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y$

Divide both sides by<em> </em>the <em>x</em> term to acquire:

$\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}$

Take the derivative of both sides with respect to <em>x: </em>

$\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]$

Apply power rule. Note that P is simply a constant. Hence:

$\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})$

Simplify. Hence, our derivative is:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

We want to evaluate the derivative when <em>x</em> is 30 and when <em>y</em> is $10,000.

First, we will need to find <em>P</em>. Our original equations tells us that:

$P=x^{0.3}y^{0.7}$

Hence, at <em>x</em> = 30 and at <em>y</em> = 10,000, <em>P </em>is:

$P=(30)^{0.3}(10000)^{0.7}$

Therefore, for our derivative, we will have:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)$

Use a calculator. So:

$\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143$

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0

2 years ago

How do I graph the equation?

makvit [3.9K]

The equation is y=2.5x.
Let the y axes increase by 2.5 and the x axes by ones

4 0

2 years ago

Please help ASAP work and answer please please

tiny-mole [99]

Answers:

8. 12x+3= 27

move 3 to the other side , sign changes from +3 to -3

12x+3-3=27-3

12x= 24

divide by 12 for both sides

12x/12=24/12

x= 2

9. 6(y-10)=42

mutiply the bracket by 6

(6)(y)(6)(-10)= 6y-60

6y-60= 42

move -60 to the other side, sign changes from -60 to +60

6y-60+60=42+60

6y=102

divide by 6

6y/6=102/6

y=17

10. 9x-2=4x+13

move +4x to the other side

9x-4x-2= 4x-4x+13

5x-2= 13

5x-2+2= 13+2

5x= 15

divide by 5 for both sides

5x/5= 15/5

x= 3

11. 4/3y+5/2y= 1

find the common denominator for both of the fractions which is 6.

Mutiply by 2 for 4/3y .

4(2)/3(2)y=8/6y

Mutiply by 3 for 5/2y

5(3)/2(3y)= 15/6y

8/6y+15/6y= 23/6y

23/6y= 1

Mutiply both sides by 6/23

23/6y(6/23)= 1 (6/23)

Cross out 6 and 6 , divide by 6 and then becomes 1.

Cross out 23 and 23, divide by 23 and then becomes 1.

1*1*y=y

y= 6/23

5 0

3 years ago