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pshichka [43]
3 years ago
7

A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km?

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
The first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42
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A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
gulaghasi [49]

Answer:

40 ft²

Step-by-step explanation:

Let the length of the original rectangle be L and original Breadth be B

it is given that the original area  is 5/8 ft²

i.e.

Original Length x Original Breadth = Original Area, or,

LB = 5/8 ft² ------------------(1)

Given that the dilation factor is 8,

Hence,

New Length = 8L and New Breadth = 8B

THerefore,

New Area = 8L x 8B

= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)

= 64 (5/8)

= 40 ft²

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Step-by-step explanation:

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The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages 118. How old is Eva?
Alona [7]

Answer:

Eva's age is 44 years

Step-by-step explanation:

Let

x ----> Brita's age

y ----> Eva's age

we know that

The sum or their ages 118

so

x+y=118 ----> equation A

The difference in age between Brita and her daughter Eva is 30 years

so

x-y=30 ----> equation B

Solve the system by elimination

Adds equation A and equation B

x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74

<em>Find the value of y</em>

substitute the value of x in any equation

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Answer:

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Step-by-step explanation:

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