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2 years ago

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g.

Mathematics

2 answers:

Kamila [148]2 years ago

7 0

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Distance traveled by Jesse's car = d

Number of gallons used = g

The relation between distance and number of gallons used is given by

$d=15g$

We need to find the constant of proportionality in terms of distance traveled per gallon of gas.

So, Constant of proportionality = $\dfrac{Distance\ traveled}{Gallon\ of\ gas}=\dfrac{d}{g}$

Since we have

$d=15g\\\\\dfrac{d}{g}=\dfrac{1}{15}=Constant\ of\ proportionality$

Hence, Option 'd' is correct.

ella [17]2 years ago

6 0

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. <span>The constant of proportionality in terms of distance traveled per gallon of gas is</span><span> 1/15. The answer is letter D</span>

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2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the

trasher [3.6K]

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

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1 year ago

Eliot needs to replace a window that is in the shape of a semicircle.

USPshnik [31]

Answer:

////

Step-by-step explanation:

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1 year ago

Suppose that a system of linear equations has 3×5 augmented matrix whose 5th column is a pivot column. Is the system consistent?

Anon25 [30]

No, the system is inconsistent.

Step-by-step explanation:

If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.

So, the system of linear equations is inconsistent.

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2 years ago

In 2009, a city with a population of 796,000 had 2,388 births. What is the number of births per 10,000 in the city?

Tom [10]

796,000/2388=10,000/x
796,000x= (2388*10,000)
796,000x/796,000=23,880,000/796,000
x=30 births

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2 years ago

The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job

Mnenie [13.5K]

Answer:

0.8753

Step-by-step explanation:

Calculate the probability that your job will be ready before 10.01 am

Here, the parameter of an Exponential is E(X)=12

Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ

Therefore, E(Y) =1/12

Here, The third job will be ready for 10:01 AM, then E(Y)=61/12

Therefore, the required probability is

$P(X\geq 3)=1-P(X$

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

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1 year ago