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sveta [45]
3 years ago
8

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon

of gasoline.
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

  30 miles

Step-by-step explanation:

In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:

  (56 1/4 mi)/(1 7/8 gal) = 30 mi/gal

The vehicle can travel 30 miles per gallon of gas.

_____

My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.

  (56 1/4)/(1 7/8) = (225/4)/(15/8)

  = (225/4)·(8/15) = (225/15)·(8/4)

  = 15·2 = 30

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The distance between 1 - 10 1/4​

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1 - 10 1/4 = -9 1/4

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Answer

-9 1/4

9 1/4 (in absolute value)

5 0
1 year ago
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The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2
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A. y=-5/3x+1

Step-by-step explanation:

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3 years ago
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If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq
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Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0
3 years ago
If there were 5 million births in a particular country and 3 comma 375 sets of naturally occurring​ triplets, what is the experi
IgorLugansk [536]

Answer:

Probablity =P=6.75*10^-^4

Step-by-step explanation:

The experimental probability can be defined as the ratio of the number of times any particular event has occurred to the total number of times that event has taken place.

Experimental probability = P = No. of event occurrences / total number of occurrences.

In our question statement,

No of naturally occurring triplets are = 3375

Total number of births = 5 million = 5,000,000

Putting values in equation.

P=3375/5000000

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4 0
3 years ago
An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.06. If the defecti
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Answer:

probability that both passes a defective item is  0.8742‬

<h3>Step-by-step explanation:</h3>

probability that the first inspector misses is Pr( 1st misses)= 0.06

therefore the probability he does not miss is

Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94

probability that the second misses is Pr( 2nd misses) = 0.07

therefore probability that 2nd does not miss is

Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93

probability that both passes a defective item is  Pr(1st passes)*Pr( 2nd passes)

= 0.93*0.94 = 0.8742‬

7 0
3 years ago
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