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Vlad [161]
3 years ago
5

Benito spent $1837 to operate his car last year. Some of these expenses are listed below. Benito's only other expense was for ga

soline. If he drove 7600 miles, what was the average cost of the gasoline per mile?
Operating Expenses:
Expense
Cost

Insurance $972
Registration $114
Maintenance $105
Mathematics
1 answer:
natita [175]3 years ago
3 0
The answer is $.085. This is the cost of the gasoline per mile. I got the answer through adding all the expenses (insurance, registration, and maintenance) which added up to $1191 and then subtracting it from $1837, which gets me $646. Lastly, I computed for the cost of gasoline per mile through dividing $646 by 7600 miles. I got .085.
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A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams. What percentage of the metal in th
otez555 [7]
So,

To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin.  In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.

\frac{3.75}{5} = \frac{7.50}{10} = \frac{75}{100}

75%

75% of the metal in the coin is copper.
7 0
3 years ago
Chris bought six pounds of apples for 10.80. How much would 15 pounds of apples cost at the same price per pound?
muminat

Answer:

$27

Step-by-step explanation:

10.80/6=1.8

1.8×15= 27

the cost is $1.80 per pound

6 0
3 years ago
Read 2 more answers
Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

f(x)=\frac{(x-1)(x^2-4)}{x^2-a}

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

so, the value x=\sqrt{a} = \sqrt{1} = 1 won't annulate the denominator.

Now, for a = 4 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1

so, the value x=\sqrt{a} = \sqrt{4} = 2 won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0
3 years ago
How to change indicated sums to indicated products as in the preceding model : 5 • 20 + 5 • 3
LenKa [72]
We can factorize the equation given:
<span>5 • 20 + 5 • 3
= 5(20 + 3)
= 5(23)
= 115</span>
6 0
4 years ago
A sculptor has just finished creating a large wooden sphere for a sculpture he is working on. The sphere has a radius of 4.3 fee
Licemer1 [7]
Density = mass/volume

the mass is 10578.9 pounds

the volume of a sphere is v = 4/3 πr^3

v = (4/3) (π) (4.3)^3
v = 333.04

10578.9 / 333.04 = 31.76

the final density is 31.76!!
6 0
3 years ago
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