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dexar [7]
3 years ago
14

Prince is 6n years old. jordan is (3n + 10) years older than prince

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

a)  9n + 10 years.

b) 13n + 10 years.

c) 6n - 9 years

d) 19n + 1 years.

e) 77 years.

Step-by-step explanation:

a) Prince is 6n years old. Jordan's age is (3n + 10) years more than Prince.

So, Jordan's age is (6n + 3n + 10) = 9n + 10 years.

b) The total age of Prince and Jordan will be (6n + 9n + 10) = 13n + 10 years.

c) Kimberly's age is 9 years less than Prince.

So, the age of Kimberly will be 6n - 9 years.

d) The total age of the three people will be (6n - 9 + 13n + 10) = 19n + 1 years.

e) If n = 4, then total age of three people will be 19(4) + 1 = 77 years. (Answer)

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morpeh [17]

Step-by-step  Explanation:

Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.

Considering the data

Age (in years)                Weight (in pounds)

2                                                32

6                                                 47

7                                                 51

4                                                 40

5                                                 43

3                                                 38

8                                                 60

1                                                  23

Considering the slope intercept form

y = mx + b

where m is the slope of the line and b is the y-intercept.

Taking two points, lets say (2, 32) and (8, 60)

as

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:32\right),\:\left(x_2,\:y_2\right)=\left(8,\:60\right)

m=\frac{60-32}{8-2}

m=\frac{14}{3}

so

y = mx + b

\:\:32\:=\:\left(\frac{14}{3}\right)2\:+\:b

\mathrm{Switch\:sides}

\left(\frac{14}{3}\right)\cdot \:2+b=32

b=\frac{68}{3}

Thus

y = mx + b

as

m=\frac{14}{3} and b=\frac{68}{3}

substituting in the slop-intercept form

y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)

Therefore, y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right) is the equation of the best fit line in slope-intercept form.

Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

As the equation of line is

y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)

So in order to find the weight of the little girl at an age of 14 years old, put

x = 14 in the above equation.

as

y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)

y=\left(\frac{14}{3}\right)\left(14\right)+\left(\frac{68}{3}\right)          ∵  x = 14

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Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

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Answer:

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Apparently, we want to find the number of weeks (w) that Kaitlyn must save $6 in order to have a total of $60.

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... w = $60/$6 = 10

Kaitlyn must save for 10 weeks (if she starts with a balance of 0).

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<em>Comment on the problem statement</em>

The problem reads like we came in somewhere in the middle of it. We don't know what other steps you've been asked to perform, or any of the details of the problem you're asked to solve. We don't have Kaitllyn's initial balance, for example, which is essential to determining how long she must save. (If Kaitlyn's initial balance is $33, for example, she must only save for 4.5 weeks.)

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mart [117]
It should be 18, because despite of 3,14, because that's pi and radius is half of the diameter, so36 divide 2 is 18.
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frez [133]

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3 years ago
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ELEN [110]
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an = a1 * r^(n-1)
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3 years ago
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