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lys-0071 [83]
3 years ago
11

Theo left Phoenix traveling 55 mph. Two hours later, Dennis left Phoenix following Theo and he was speeding along at 75 MPH. How

many hours will it take Dennis to catch up with Theo?
Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

7.33333 hours

Step-by-step explanation:

Theo's speed = 55mph

Distance = speed * time

Distance covered after 2 hours

Distance = 55 * 2 = 110 miles (distance already covered by Theo when Dennis left

Dennis speed = 70mph

Let time taken to catch up = x

70x = 110 + 55x

70x - 55x = 110

15x = 110

x = 110 / 15

x = 7.33333 hours

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Step-by-step explanation:

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egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

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2. (-2)(4)

Step-by-step explanation:

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