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3 years ago

What is 2/9+3/5 and does any one know how to do the work

2 answers:

5 0

$\frac{2}{9} + \frac{3}{5} =$

least common multiple (9,5) = 45

$\frac{45\div9*2 + 45\div5*3}{45} =$

$\frac{10+27}{45} =$

$\boxed{\frac{37}{45} }$

antoniya [11.8K]3 years ago

3 0

Add: 2/9 + 3/5 = 2 · 5/9 · 5 + 3 · 9/5 ·9 = 10/45 + 27/45 = 10 + 27/45 = 37/45

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Korolek [52]

Answer:

2.192

Step-by-step explanation:

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2 years ago

A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner

weeeeeb [17]

$63. 1.5 hrs
$x. 4 hrs

63/x=1.5/4

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3 years ago

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation

pishuonlain [190]

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t or 0 = 10 + 4t

4t = 10 or -4t = 10

t = $\frac{10}{4}$ or t = $-\frac{10}{4}$

Time cannot be negative (unless you have a time machine) so disregard $-\frac{10}{4}$

Answer: t = $\frac{5}{2}$ = 2.5 seconds

6 0

3 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 P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

We want to find dy/dx.

So, let’s find our equation in terms of x. 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 the x term to acquire:

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

Take the derivative of both sides with respect to x:

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

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 x is 30 and when y is $10,000.

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

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

Hence, at x = 30 and at y = 10,000, P 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

3 years ago

9. Simplify: 6√18+3√50

sukhopar [10]

$6 \sqrt{18} +3 \sqrt{50} =6 \sqrt{9*2} +3 \sqrt{25*2} =6*3 \sqrt{2} +3*5 \sqrt{2}$ =18 sqrt2+15 sqrt2=33 sqrt 2

4 0

3 years ago

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