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mina [271]
3 years ago
10

Lucy drove387 miles using 18 gallons of gas.at this rate how many miles would she drive using 11 gallons of gas

Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

236.5 miles

Step-by-step explanation:

Because it is 21.5 miles per one gallon of gas.

You divide 387 by 18 to get 21.5 then multiply 21.5 by 11

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Total cost of a $56.53 meal after including a 17% tip?
monitta
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Hope that helps! You should get $66.1401, but since you cant have a hundredth of a penny, its just $66.14. :)</span>
4 0
3 years ago
Read 2 more answers
1 point) According to one mathematical model, the average life expenctancy for American men born in 1900 was 55 years. Life expe
xxMikexx [17]

  a)

Let t represents number of years after 1900

so that means for 1900, value of t is 0

We are given point as (0,55)

and it says that life expectancy increases by 0.2

so that means slope,m=0.2

equation of line is y=mt +b

or y=0.2t +b

now we use point (0,55)

55 =0.2(0) +b

55 =0+b

55= b

so b=55

plug it back into the equation,we get

y=0.2t +55

b)

We are given y=73

so we plug it into the equation we got in part a and solve for t

y=0.2t +55

73 =0.2t +55

73-55 =0.2t

18 =0.2t

18/0.2 =t

90 =t

so t=90

This means the birth year =1900+t =1900+90 =1990


5 0
3 years ago
The perimeter of a square is represented by 20n-8. Write an expression that will represent each side of the square.
Over [174]

Answer:

n=3

Step-by-step explanation:

20+20+20 length +width+ height

20×3

5 0
2 years ago
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Simone used 2 1/3 kilograms of flour to bake a cake . She used 4/5 kilograms of flour more to bake a second cake. How much flour
Likurg_2 [28]

Answer:

3.13 kilograms used for the second cake

Step-by-step explanation:

because the fractions have different denominators you have to multiply the denominators together to figure out what to change them too. but instead you can just figure out what the decimal for each is. 1/3 is 0.33, and 4/5 is 0.80. all you do is add these together to get 1.13. so now all you do is add 2+1.13 to get 3.13.

5 0
2 years ago
Why is it important to calculate the distance between two points on a cartesian coordinate plane?
Gwar [14]

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,

a

2

+

b

2

=

c

2

, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides

|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,

|

−

3

|

=

3

. ) The symbols

|

x

2

−

x

1

|

and

|

y

2

−

y

1

|

indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.

c

2

=

a

2

+

b

2

→

c

=

√

a

2

+

b

2

It follows that the distance formula is given as

d

2

=

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

→

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

We do not have to use the absolute value symbols in this definition because any number squared is positive.

A GENERAL NOTE: THE DISTANCE FORMULA

Given endpoints

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, the distance between two points is given by

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Step-by-step explanation:

4 0
3 years ago
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