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andriy [413]
3 years ago
9

Ashley is taking a road trip from California to Washington. Every 4 hours, she travels between 204 and 272 miles. Twelve hours a

go, Ashley had traveled 118 miles from her starting point in California. Which is a reasonable measure of Ashley's distance from her starting point in California now? A. 238 miles B. 596 miles C. 832 miles D. 356 miles
Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

Option C. 832 miles

Step-by-step explanation:

Ashley travels between 204 and 272 miles in every 4 hours.

That means she travels between 51 (\frac{204}{4}miles) and 68 (\frac{272}{4}miles) per hour.

Therefore, in 12 hours she will travel between 612 (51×12 miles) miles and 816 (68×12 miles).

Since she has already traveled 118 miles before 12 hours then the distance traveled by her till now will be between 730 (612+118 miles) and 934 (816+118 miles).

From the given options, Option C. 832 miles is the reasonable measure of Ashley's distance from the starting point.

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Gasoline costs 1.05 euro per liter in France. What is the price in dollars per​ gallon?
Alecsey [184]

The price in dollars per gallon is 4.02 dollars per gallons.

<h3>How to find the price of gasoline in dollars per gallon?</h3>

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price  = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost =  1.0605 /  0.264172

cost  = 4.01552442257 dollars per gallons

cost  = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

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6 0
1 year ago
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.

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Answer:

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As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports the
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Answer:

Total = 36%

Step-by-step explanation:

Given

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Total = Company A + Company B

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