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navik [9.2K]
3 years ago
12

Car A travels at an average speed of 45 miles per hour. Car B travels at an average speed of 40 miles per hour. In the time it t

akes car B to travel a certain distance​ d, car A travels 60 miles farther. Find the distance that each car travels and the time of its trip.
Mathematics
1 answer:
attashe74 [19]3 years ago
5 0
Setup
45t = 40t + 60
5t = 60
t = 12

car A = 45 * 12 = 540 mi
car B = 40 * 12 = 480 mi
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3x^2-x-16=0 Solve this question
Nadya [2.5K]
X≈2.48207399,<span>−<span>2.14874066</span></span>
4 0
3 years ago
Read 2 more answers
How much interest would be paid on $75 at 5% interest rate for 2 years??
V125BC [204]

Answer:

Step-by-step explanation:

Step one: because fractions are out of 100% you do

5%+100%= 105

105 divide by 100 which is equal to 1.05

Step two: it’s says two year so what you do is times the amount by the number you got

75x1.05{2}

=82.68 answer

4 0
3 years ago
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig
Vladimir [108]

Answer:

The equation is given by:

D(t) = 80 + 9\sin{0.2618t}

Step-by-step explanation:

Sine function:

Has the following format:

y = A\sin{bx}

In which A is the amplitude and \frac{2\pi}{b} is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that A = 9

During a 24-hour day, which means that the period is 24. So

\frac{2\pi}{b} = 24

24b = 2\pi

b = \frac{2\pi}{24}

b = 0.2618

So the variation is:

V(t) = 9\sin{0.2618t}

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}

8 0
3 years ago
Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

2x - 7x = -245 + 35

-5x = -210

<h3>x = 42</h3>

Thus present age of Christoper is 42 years old

5 0
3 years ago
This table shows the number of points two teams scored in five games
mezya [45]

Answer:

2.16

Step-by-step explanation:

The question is on mean absolute deviation

The general formula ,

Mean deviation = sum║x-μ║/N where  x is the each individual value, μ is the mean and N is number of values

<u>Team 1</u>

Finding the mean ;

mean= \frac{51+47+35+48+64}{5}  =49

Points     Absolute Deviation from mean

51                          2

47                         2

35                        14

48                         1

64                         15

<u>Sum    </u>                34          

Absolute mean deviation = 34/5= 6.8

<u>Team 2</u>

Finding the mean

mean=\frac{27+55+53+38+41}{5} = 42.8

Points                      Absolute deviation from the mean

27                                    15.8

55                                    12.2

53                                     10.2

38                                      4.8

41                                       1.8

<u>Sum                                 44.8        </u>

Absolute deviation from the mean = 44.8/5 =8.96

Solution

Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16

5 0
4 years ago
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