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3 years ago

Name the property of real numbers illustrated by the equation 16(3t + 4v) = 48t + 64v.

1 answer:

6 0

The property of real numbers illustrated by the equation 16(3t+4v)=48t+ 64v.

Therefore, the answer is: Distributive property.

As you can see, you have the equation 16(3t+4v), and when you apply the Distributive property, you obtain:

16(3t+4v)
(16)(3t)+(16)(4v)
48t+64v

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A bag contains 10 white golf balls and 6 striped golf balls. A golfer wants to add 112 golf balls to the bag. He wants the ratio

dem82 [27]

Ratio 10:6
so 10+6 = 16

112/16 =7

white balls: 10 * 7 = 70
striped balls: 6 * 7 = 42

Answer: he needs to add 70 white balls and 42 striped balls to keep the same ratio 10:6

8 0

3 years ago

A certain rectangle is 5 times as long as it is wide. Suppose the length and width are both tripled. The perimeter of the second

astraxan [27]

It is tripled as well. You are tripling every distance and thus tripling the sum of the distances as well.

3 0

3 years ago

The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.

nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.

With reference to table we get

$\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418$

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85$

and

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97$

∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31

4 0

3 years ago

In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each even

murzikaleks [220]

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

7 0

3 years ago

PLS HELP PEOPLE!!!

enyata [817]

Answer:

They used 16.4 centimeters

7 0

2 years ago