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Nana76 [90]
3 years ago
6

A teacher collects data on the number of hours, s, his students spend studying and the number of hours, t, they spend watching T

V each day. He finds that there is a negative linear association between s and t that is best modeled by the equation s=−0.5t+3.6 .
What is the meaning of 3.6 in this equation?
Mathematics
1 answer:
Sidana [21]3 years ago
5 0
Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
                                            s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying. 
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Y=total cost of purchasing the pencils

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A father is 25 years older than his son. 10 years ago, he was six times as old his son. What are their present ages?​
RoseWind [281]

Answer:

Present age of son = 15 years

& Present age of father = 40 years

Step-by-step explanation:

  • Let the son's present age be x years

  • -> Father's present age = (x + 25) years

  • 10 years ago:
  • Son's age = (x - 10) years

  • Father's age = (x +25 -10) = (x +15) years

  • It is given that: 10 years ago father was six times as old as his son

  • -> x + 15 = 6(x - 10)

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3 0
2 years ago
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Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.Find
Tresset [83]

Answer:

The largest even integer is <u>14</u>.

Step-by-step explanation:

Given:

Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.

Now, to find the largest even integers.

As, 2 is an even number.

Let an even integer be 2x.

So, the three consecutive even integers are:

2x,\ 2x+2,\ and\ 2x+4.

Now, we have to add two to get next even number.

Thus, 3 times the second one of these is:

3(2x + 2) \\= 6x + 6

Now, the sum of the first and third ones are:

2x + 2x + 4 \\= 4x + 4

So, the twice the sum of the first and third integers is less than twelve:

2(4x+4)-12\\=8x+8-12\\=8x-4

Now, 3 times the second is 12 less than twice the sum of the other two:

6x+6=8x-4

<em>Getting the variables on one side and the number on other:</em>

6+4=8x-6x

10=2x

<em>Dividing both sides by 2 we get:</em>

5=x

x=5.

Now, the even numbers we get are:

2x=2\times 5=10\\2x+2=2\times 5+2=10+2=12\\2x+4=2\times 5+4=10+4=14.

<em>Thus, the third number is the largest number which is 14.</em>

Therefore, the largest even integer is 14.

 

8 0
3 years ago
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