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RideAnS [48]
2 years ago
9

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Mathematics
1 answer:
QveST [7]2 years ago
6 0

Answer:

a

Step-by-step explanation:

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A company manufactures its product at a cost of $0.50 per item and sells it for $0.85 per item daily overhead is $600 how many i
Nataly_w [17]

so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost.  The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.

so our cost equation C(x) = 0.5x + 600   <---- items' cost plus overhead.

the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.

so our revenue equation is simply R(x) = 0.85x.

as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).

\bf \stackrel{R(x)}{0.85x}=\stackrel{C(x)}{0.5x+600}\implies 0.35x=600\implies x=\cfrac{600}{0.35} \\\\\\ x\approx 1714.285714285714\implies \stackrel{\textit{rounded up}}{x=1714}

4 0
2 years ago
The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality
Goryan [66]

Answer: (a) P(no A) = 0.935

              (b) P(A and B and C) = 0.0005

              (c) P(D or F) = 0.379

              (d) P(A or B) = 0.31

Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = 1-\frac{68}{1052}

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = (\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})

P(A and B and C) = \frac{5736888}{1164252608}

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = \frac{269}{1052} +\frac{130}{1052}

P(D or F) = \frac{399}{1052}

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = \frac{68}{1052} +\frac{258}{1052}

P(A or B) = \frac{326}{1052}

P(A or B) = 0.31

7 0
3 years ago
How to solve x(x-3)=0
damaskus [11]

Step-by-step explanation:

x(x-3)=0

x=0 or (x-3) =0

x= 0 or x =3

7 0
3 years ago
The scale on a map of Indiana is 1 inch=42 miles jill measured the distance on the map from the eastern border to the western bo
Temka [501]

Answer:

Step-by-step explanation:

5 0
3 years ago
Is 3.2 a rational number?
Anastaziya [24]
The number<span> is between integers, so it can't be an integer or a whole </span>number<span>. It's written as a ratio of two integers, so it's a </span>rational number<span> and not irrational. All</span>rational numbers<span> are real </span>numbers<span>, so this </span>number<span> is </span>rational<span> and real.</span>
5 0
3 years ago
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