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Lynna [10]
3 years ago
13

Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas? Show your work. Answ

er: miles per gallon
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

The number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas

Step-by-step explanation:

Given

Size of Gas = 12 gallon of gas

Distance = 456 miles

Calculating the number of miles her car travel per gallon of gas.

This in calculated by distance/size of gas

By substituton, it becomes

Number of miles = 456 miles/12 gallons ------ divide

Number of miles = 38 miles / gallon.

Hence, the number of miles her car travel per gallon of gas is 38 miles per 1 gallon of gas

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What is a formula for the nth term of a given sequence
IceJOKER [234]

Answer:

a_n=-12-4(n-1)

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is a_1=-12.

The common difference is

d=-16--12

d=-16+12=-4

The nth term of this arithmetic sequence is;

a_n=a_1+d(n-1)

We substitute the values for the first term and the common difference to obtain;

a_n=-12-4(n-1)

5 0
3 years ago
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Solve this system of equations
olga_2 [115]

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

7x − 5z = 3y + 19

7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 ---> (B)

8z = y + 26

16z = 3y + 54

2(y + 26) = 3y + 54

2y + 52 = 3y + 54

y = -2

8z = -2 + 26

8z = 24

z = 3

x = 3(3) - 5

x = 4

8 0
3 years ago
What is the period of the function f(x) = -4 cos(5x-9) - 7?<br> Give an exact value.<br> units
ehidna [41]

Answer:

2pi/5

Step-by-step explanation:

The only thing in this equation that affect the period is the '5' in front of the 'x'

cos period is usually 2pi

 this is compressed by 5    

    period = 2pi/ 5

5 0
2 years ago
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The answer is 60, but I don’t know how to fill in the chart. Idk what I’m comparing.
FromTheMoon [43]

Answer:

you have to write the way you did the problem

Step-by-step explanation:

4 0
3 years ago
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The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre
taurus [48]

Answer: D) 0.733.

Step-by-step explanation:

Let C denotes the number of employees having college degree and S denote the number of employees are single.

We are given ,

Total = 600 , n(C)=400  , n(S)=100 , n(C∩S)=60

Then,

n(C\cup S)=n(C)+n(S)-n(C\cap S)\\\\=400+100-60=440

Now, the probability that an employee of the company is single or has a college degree is

P(C\cup S)=\dfrac{n(C\cup S)}{\text{Total}}\\\\=\dfrac{440}{600}=0.733333333\approx0.733

Hence, the probability that an employee of the company is single or has a college degree is 0.733

8 0
3 years ago
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