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3 years ago

15

55 bridesmaids want to make 325325 decorations for a wedding. Each decoration takes about 212212 minutes to make. Which response

gives the best estimate for the amount of time each bridesmaid will spend making decorations?

1 answer:

koban [17]3 years ago

6 0

For the amount of time their spending i think it would take more than a humans lifetime to make a quarter of a decoration.

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Last friday trevon had $29. over the weekend he received some money for cleaning the attic. he now has $41. how much money did h

Agata [3.3K]

$41 - $29 = your answer

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3 years ago

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What is the median of the data shown in the box plot below?<br>A:23<br>B:28<br>C:30<br>D:35

Serhud [2]

Answer:

It has to be 25 it is the middle number

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3 years ago

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How many acute, obtuse, and right angles are in this figure?

Tanya [424]

Hey!

I hope you don't mind, but before I answer this question I'd like to do a quick review of some general angles and how to tell which is which.

<span><em><u /></em><span><em><u>QUICK REVIEW</u></em>
</span></span>
So, let's first review what an acute angle is. An acute angle is an angle that is smaller than 90<span>°. The word acute basically means having a sharp or pointy end. So this is a helpful way to remember what an acute angle is.

Now, let's review what an obtuse angle is. An obtuse angle is an angle that is more than 90</span>°. If an angle measures over 90<span>° that it is more than likely that it is an obtuse angle.

Last but not least a right angle. A right angle is an angle that has to be exactly 90</span>°. If an angle is 90<span>° than it is most definitely a right

<span><em><u /></em><span><em><u>END QUICK REVIEW</u></em>
</span></span>
Let's start by finding out the angle in the top left hand corner. The angle is clearly no more that 90</span>° and is not 90° exactly. This angle must be an acute angle. We can also tell that it is an acute angle because the angle is sharp.

Now let's look at the angle on the bottom left hand corner. The angle is clearly no less than 90° and more than 90° exactly. This angle must be an obtuse angle.

Since the angles are basically the same on the other side, we won't be reviewing those. Now we'll count all the angles we have.

Acute Angles - 2

Obtuse Angles - 2

Right Angles - 0

<em>So, this means that in the figure shown above,</em> there are 2 acute angles, 2 obtuse angles, and no right angles.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

Central Park is a rectangular-shaped park in the middle of New York City. The area of the park is 3.41 square kilometers.

dmitriy555 [2]

Answer:

4,262.50 m

842 acres

Step-by-step explanation:

Given that :

Park is rectangular in shape

Width of park = 800 m

Area of park = 3.41 km²

Width of park = 800 / 1000 = 0.8 km

Area of rectangle, A

A = l * w

l = Length ; w = width

3.41 = l * 0.8

3.41 = 0.8l

l = 3.41 / 0.8

l = 4.2625 km

Hence, length in meters :

4.2625 * 1000

= 4,262.50 m

B.)

1 km² is approximately 247 acres

3.41km² = 3.41 * 247

3.41 km² = 842.27

= 842 acres

6 0

2 years ago