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son4ous [18]
3 years ago
10

Kristoff worked 5 hours and earned $36.25. if his last paycheck was $797.50, how many hours did he work?

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

110 hours

Step-by-step explanation:

36.25 divided by 5 = 7.25

7.25 x 110 = 797.50

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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
likoan [24]

Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

5 0
3 years ago
The LCM of 4, 9, and 10 is _______.<br><br> 36<br><br> 180<br><br> 40<br><br> 90
Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, <em><u>180</u></em>, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, <em><u>180</u></em>, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, <em><u>180</u></em>, 190, 200

Stay safe and Merry Christmas! :)

8 0
3 years ago
Read 2 more answers
K<br> (<br> t<br> )<br> =<br> t<br> +<br> 1<br> ; Find <br> k<br> (<br> 6<br> )
timurjin [86]

Answer:

6+1 =7

Step-by-step explanation:

therefore 7 is answer

4 0
2 years ago
How do you find 8% of a whole number?​
Natalka [10]
The number minus 8%.
3 0
3 years ago
Read 2 more answers
What is the volume of the triangular prism below? V = ft 3
andre [41]

Answer:

Step-by-step explanation:

Volume =base area* hight

The base is a right triangle so area is (18*2)/2=36/2=18

Vol =18*3 =54 ft^2

6 0
3 years ago
Read 2 more answers
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