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rosijanka [135]
3 years ago
15

Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy?

Mathematics
1 answer:
Anon25 [30]3 years ago
3 0

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline (C), measured in dollars, is given by the following expression:

C = n\cdot c

Where:

n - Amount of gasoline, measured in gallons.

c - Unit cost, measured in dollars per gallon.

Given that C = \$\,18 and c = \$\,2.78\,\frac{1}{gal}, the amount of gasoline is cleared and calculated:

n = \frac{C}{c}

n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }

n = 6.474\,gal

Cory bought 6.474 gallons of gasolline.

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B and F

Step-by-step explanation:

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2 years ago
6.018×9 find de estimates
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3 years ago
In 2000 the population of a country reached 1 ​billion, and in 2025 it is projected to be 1.2 billion. ​(a) Find values for C an
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Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

P(x)=Ca^{x-2000}

So, the population in 2000,

P(2000)=Ca^{2000-2000}

=Ca^{0}

=C

According to the question,

P(2000)=1

\implies C=1

(b) Similarly,

The population in 2025,

P(2025)=Ca^{2025-2000}

=Ca^{25}

=a^{25}                    (∵ C = 1)

Again according to the question,

P(2025)=1.2

a^{25}=1.2

Taking ln both sides,

\ln a^{25}=\ln 1.2

25\ln a = \ln 1.2

\ln a = \frac{\ln 1.2}{25}\approx 0.00729

a=e^{0.00729}=1.00731

Thus, the function that shows the population in year x,

P(x)=(1.00731)^{x-2000}     ...... (1)

The population in 2010,

P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555          

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

1.4=(1.00731)^{x-2000}

\ln 1.4=(x-2000)\ln 1.00731

0.33647 = (x-2000)0.00728

0.33647 = 0.00728x-14.56682

0.33647 + 14.56682 = 0.00728x

14.90329 = 0.00728x

\implies x=\frac{14.90329}{0.00728}\approx 2047

Therefore, the country's population might reach 1.4 billion in 2047.

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