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3 years ago

PLEASEE HEELLLP!!! I'LL GIVE BRAINLIEST!

Mathematics

2 answers:

Amanda [17]3 years ago

8 0

Answer:

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

Step-by-step explanation:

The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.

28x - 7 + 24x + 18 = 180

52x + 11 = 180

52x = 169

x = 169/52

x = 3.25

Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.

12y + 30 = 24x + 18

We know that x = 3.25.

12y + 30 = 24(3.25) + 18

12y + 30 = 78 + 18

12y = 66

y = 66/12

y = 5.5

I don't know what the problem is asking for since you don't show.

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

patriot [66]3 years ago

4 0

Answer:

x = 3.25, y = 5.5

Step-by-step explanation:

The two top angles are supplementary.

Supplementary angles sum to 180 deg.

28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25

-------------------

Vertical angles have same measure.

12y + 30 = 24x + 18
12y = 24*3.25 - 12
12y = 66
y = 66/12
y = 5.5

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Olivia baked 16 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in

lukranit [14]

Answer:

The number of whole loaves at each location = 5 loaves

Step-by-step explanation:

This problem is essentially testing your ability to use simple division within remainders, and the number of whole loaves is calculated as follows:

Numer of loaves of bread = 16

number of locations = 3

next, we will divide the number of loaves by the number of locations since Olivia placed an equal number of loaves in 3 different locations:

$= \frac{16}{3} = 5\frac{1}{3}$

This means that there will be 5 whole loaves and 1 loaf that will be divided equally into the three places.

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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.

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3 years ago