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padilas [110]
2 years ago
14

Jacks Car averages 31.5 miles on the highway per gallon. If his fuel tank holds 13.2 gallons and it is 3/4 full then how far can

he travel on the highway on his tank of gas?
Mathematics
1 answer:
ivanzaharov [21]2 years ago
5 0

Answer:

311.85 miles

Step-by-step explanation:

Fuel tank holds 13.2 gallons and is 3/4 full, therefor the actual amount of fuel Jack has=(3/4)×13.2 gallons=9.9 gallons

The car travels 31.5 miles per gallon, 31.5 miles= 1 gallon

Then 9.9 gallons will take him for= (31.5×9.9) miles= 311.85 miles

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What ratio would be used to convert 0.5 miles to yard
NeTakaya
Convert Miles to Yards:

yd =mi * 1760.0

Shown work:
mi -> yd
yd =mi * 1760.000
yd =0.5 * 1760.000
yd =880.0000

Result: 8.8e+2   OR simply just: <span>0.5mi= 880yd</span>
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2 years ago
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What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?
zhuklara [117]

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

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We finally get numerical coefficient 135

Good luck!!!


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