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astra-53 [7]
3 years ago
10

The gas tank is 20% full. the volume is 288.75. at $3.00 per gallon of gas, find the cost to fill the tank. (1 gal = 231 in.33)

Mathematics
2 answers:
alexdok [17]3 years ago
8 0
Use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8
----------  =    ------
288.75            x
                                                               231 gal
So, 0.2x = (0.8)(288.75 gal), and x = ----------------- = 1155 gal.
                                                                 0.2

It would take 1155 gal. to fill the tank.

The cost would be

1155 gal        $3
------------ * ---------- = $3465  (answer)
       1           1 gal
Ede4ka [16]3 years ago
8 0

Answer:

The cost to fill the tank is $ 0.75.

Step-by-step explanation:

Given,

The volume of the gas tank = 288.75 in³,

Since, 20 % of tank is full by the gas,

⇒ The total gas in the tank = 20 % of the volume of the tank

= 20 % of 288.75

= 0.2 × 288.75

= 57.75 in³

= 0.25 gallon ( 1 gal = 231 in³ ⇒ 1 in³ = 1/231 gallon ),

According to the question,

The cost of 1 gallon of gas = $ 3.00

⇒ The cost of 0.25 gallon of gas = 0.25 × 3.00 = $ 0.75

Hence, the cost to fill the tank is $ 0.75.

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The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and
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Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

  • Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
  • = z = 20 - 21/2.9/√25
  • = z = -1/2.9/5
  • = z = -1.72414
<h2><u><em>Now</em></u></h2>

<em>P-value from Z-Table:</em>

<h3><u>P(x<20) = 0.042341</u></h3>

Problem #2:

<h3>21-25/2.9 = -1.38</h3>
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2 years ago
If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?
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When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\   ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\    ---------------------

Conclusion:

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16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)

6 0
3 years ago
Read 2 more answers
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