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Artemon [7]
3 years ago
7

Yoshi made a scale drawing of his yard. The scale drawing is 1 centimeter = 0.5 meter. The length of the patio is 4.5 centimeter

s in the drawing. Find the actual length.
Mathematics
1 answer:
ozzi3 years ago
8 0

here's your answer

hope it helps you

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Minchanka [31]
The correct answer choice is
6 0
2 years ago
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The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in
tangare [24]

Answer:

4 : 5

Step-by-step explanation:

18 - 10 = 8 (Bones)

Bones to frisbees

8 : 10

Simplest form which is divided by 2 for each number:

4 : 5

5 0
3 years ago
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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
Luis wanted to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of t
Oliga [24]
<span>79.99/6.75%=5.399325 if you want the exact but 5.40 if you want rounded</span>
8 0
3 years ago
The radius of a large sphere is 8 times the radius of a small sphere. the surface area of the large sphere is how many times the
kondaur [170]
Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
8 0
3 years ago
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