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uysha [10]
3 years ago
5

Write 171 : 3 as a unit rate

Mathematics
1 answer:
kolezko [41]3 years ago
5 0
Divide 171 by 3. then you have a unit rate of 57 miles per hour.
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Hector paid $105 for 6 tickets to a hockey game. Each ticket cost the same amount. What was the cost of each ticket in dollars a
Sonja [21]

Answer:

the answer is 17.5 hope this helps

Step-by-step explanation:

5 0
3 years ago
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A pack of 24 cans costs £6. Work out the cost of 5 cans.
VARVARA [1.3K]
<span>24 cans costs £6

6/24 = 0.25 each can

5 * 0.25 = </span><span>£1.25

answer: </span>£1.25 for <span>5 cans</span>
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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Andru [333]

Answer:

(a)Revenue=580x-10x²,

Marginal Revenue=580-20x

(b)Fixed Cost, =900

Marginal Cost,=300+50x

(c)Profit Function=280x-900-35x²

(d)x=4

Step-by-step explanation:

The price, p = 580 − 10x where x is the number of cakes sold per day.

Total cost function,c = (30+5x)²

(a) Revenue Function

R(x)=x*p(x)=x(580 − 10x)

R(x)=580x-10x²

Marginal Revenue Function

This is the derivative of the revenue function.

If R(x)=580x-10x²,

R'(x)=580-20x

(b)Total cost function,c = (30+5x)²

c=(30+5x)(30+5x)

=900+300x+25x²

Therefore, Fixed Cost, =900

Marginal Cost Function

This is the derivative of the cost function.

If c(x)=900+300x+25x²

Marginal Cost, c'(x)=300+50x

(c)Profit Function

Profit, P(x)=R(x)-C(x)

=(580x-10x²)-(900+300x+25x²)

=580x-10x²-900-300x-25x²

P(x)=280x-900-35x²

(d)To maximize profit, we take the derivative of P(x) in (c) above and solve for its critical point.

Since P(x)=280x-900-35x²

P'(x)=280-70x

Equate the derivative to zero

280-70x=0

280=70x

x=4

The number of cakes that maximizes profit is 4.

5 0
2 years ago
Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many day
valkas [14]

Answer:

4 days in total

Step-by-step explanation:

3 0
3 years ago
When comparing prices for activities at a local recreation center, you notice that the center charges different prices on differ
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The activity type would be the input and the cost would be the output. Because there are two different costs for the same activity, this would not be a function.
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