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I am Lyosha [343]
3 years ago
10

The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in fron

t of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend
Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

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7 0
3 years ago
Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
2 years ago
What is the relationship between the ratios? 48 72 and 6 9 Drag and drop to complete the statement. The ratios are . proportiona
3241004551 [841]
You mean 6 9 or 69 ....
4 0
3 years ago
Read 2 more answers
Is 0.6 less then five eighths
AVprozaik [17]
Just do 5/8 to get 0.625 . Put a 0 onto the 0.6 . So now you have 0.60 and 0.625 . So your answer is yes 
7 0
3 years ago
Read 2 more answers
Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs
hichkok12 [17]

Answer:

Quinzel sold 17 pairs of shoes last month.

Step-by-step explanation:

Let be "Q" the number of pairs of shoes Quinzel sold last month and "J" the number of pairs of shoes Joseph sold last month.

Set up a system of equations:

\left \{ {{Q=J-18} \atop {Q+J=52} \right.

Solve for "J" from the first equation:

J=Q+18

Applying the Substitution Method, you get:

Q+J=52\\\\Q+(Q+18)=52\\\\2Q=52-18\\\\Q=\frac{34}{2} \\\\Q=17

7 0
3 years ago
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