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Elenna [48]
3 years ago
11

Zach uses his car for business and must keep accurate driving records so that his company will reimburse him for car expenses. W

hen he started his trip, the odometer read 26.645, When he returned home, the odometer read 28,017. Zach's car gets about 48 miles per gallon. If the tank was full at the beginning of the trip and it cost $62.28 to fill the tank at the end of the trip, what price did Zach pay per gallon?
Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
His end mileage minus his starting mileage will give us the total number of miles he traveled.  28017-26645=1372 miles traveled.
We can divide that by his average mpg to figure out how many gallons of gas he bought:
1372/48 = 28.583 gallons.
Now divide the amount he paid by this to get the price per gallon:
62.28/28.583 = $2.179 per gallon of gas.
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The sum of 2 numbers (x and y) is 20, and their product is 51. What are the values of x and y
Murljashka [212]

Answer: 13&7

Step-by-step explanation:

The sum of two numbers x&y is 20

Product of the 2numbers xy is 51

X+y=20......equation 1

XY=51.........equation 2

X=20-y.......equation 3

Substitute for x inequation 3 into equation 2

So we have;

(20-y)y=51

Open the bracket

20y-y^2=51

Collect like terms,so we have

Y2-20y+51=0

Factorise

Factors of 51 is 13&7

So -13-7=-20 &-13×-7=51

Substitute

Y2-13y-7y+51=0

Y(y-13)-7(y-13)=0

(Y-7)(y-13)=0

Y-7=0

Y=7 or

Y-13=0

Y=13

Y=13 or 7

Substitute for y in equation 1

X+y=20

X+7=20

X=20-7

X=13 or

X+13=20

X=20-13

X=7

Therefore, X &Y = 13 &7

4 0
2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The surface areas of two similar pyramids are 48 m2 and 108 m2 Find the scale factor.
miskamm [114]

Answer:

\boxed{ \text{B. }\frac{2}{ 3}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding sides of the two pyramids.

The ratio of the areas is the square of the scale factor.

\frac{A_{1}}{ A_{2}} =C^{2}\\ \\\frac{48 }{108} = C^{2}\\\\ \frac{4}{9} = C^{2}\\\\ C = \frac{2}{3}\\\\

The scale factor is \boxed {\frac{2}{3}}.

7 0
3 years ago
Read 2 more answers
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