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avanturin [10]
3 years ago
7

There are 80 cupcakes to be sold at school for a

Mathematics
1 answer:
NikAS [45]3 years ago
6 0

Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

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The volume of a rectangular solid is given by the equation V = l ⋅ w ⋅ h . Find the volume of a box whose dimensions are l = 3 n
scoundrel [369]

3*2*6 is 36 yards cubed or 36 yards to the power of 3.

7 0
3 years ago
Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6
lesantik [10]
For this case we use the following formula
 Area of Sector = Area * radians of sector / 2 * pi radians
 Where,
 Area: it is the area of the complete circle.
 We have then:
 Area = pi * r ^ 2
 Area = pi * (6) ^ 2
 Area = 36pi
 Substituting values:
 5pi = 36pi * radians of sector / 2 * pi
 Clearing:
 radians of sector = ((5pi) * (2pi)) / (36pi)
 radians of sector = (10pi ^ 2) / (36pi)
 radians of sector = (10pi) / (36)
 radians of sector = (10/36) pi
 radians of sector = (5/18) pi
 in degrees:
 (5/18) pi * (180 / pi) = 50 degrees
 Answer:
 The measure of the central angle is:
 50 degrees
3 0
3 years ago
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
Write an equation for this model and solve for x.<br> х = 3<br> x = -3<br> x = 4<br> x = -4
Ahat [919]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line in slope-intercept form using y=mx+b​
Phoenix [80]

Answer:

y=-4/6+2

Step-by-step explanation:

The rise is -4, and the run is 6. Rise over run means that the slope is -4/6. the Y intercept is 2. Therefore y=-4/6+2.

8 0
3 years ago
Read 2 more answers
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