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2 years ago

?Eric conducted an experiment in his science class and recorded the data in a table.

1 answer:

4 0

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y - 36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

y = 36 + 6x - 36

y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

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there are 11 pieces of pie left over in the cafeteria. if 6 pieces are apple and 5 are cherry, what fraction of the remaining pi

Leto [7]

Answer:

$\frac{6}{11}$

Step-by-step explanation:

we know that

To find what fraction of the remaining pieces are apple, divide the remaining pieces of apple by the total remaining pieces

we have that

the remaining pieces of apple is equal to 6

the total remaining pieces is 11

$\frac{6}{11}$

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3 years ago

Paul left for school at 7:25 AM. He returned home at 3:15 PM. How long was Paul away from home?

Nikitich [7]

7.25 until 8.00 = 35 minutes

8.00 until 3.00 PM = 7 hours

3.00 until 3.15 = 15 minutes

Answer is 7 hours 50 minutes

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3 years ago

If 5 tractors can plow a field in 4 hours, how many hours will it take 3 tractors to plow the field?

Mrac [35]

The number of hours required for 3 tractors to plow the field is 2.4 hours

<em><u>Solution:</u></em>

Given that 5 tractors can plow a field in 4 hours

We have to find out number of hours required for 3 tractors to plow the field

5 tractors can plow a field in 4 hours, So time taken for 1 tractor

$\text{ time taken for 1 tractor } = \frac{\text{ time taken for 5 tractor}}{5}$

$\text{ time taken for 1 tractor } = \frac{4}{5} \text{ hours }$

<em><u>So time taken for 3 tractors is given as:</u></em>

time taken for 3 tractor = time taken for 1 tractor x 3

$\text{ time taken for 3 tractor} = \frac{4}{5} \times 3 = \frac{12}{5}$

$\rightarrow \frac{12}{5} = 2.4$

So number of hours required for 3 tractors to plow the field is 2.4 hours

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3 years ago

Admission to a baseball game is $3.00 for general admission and $5.50 for reserved seats. The receipts were $3277.50 for 845 pai

a_sh-v [17]

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x -3y = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

-297 -297

__________

0 548

x=548

Hope this helps!

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2 years ago

What is the difference between rational and irrational numbers

quester [9]

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

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3 years ago

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