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cestrela7 [59]
3 years ago
6

You and your friend are having a race, but since you are faster than him, you decide to give him a head start. He starts 10m in

front of the starting line while you start on the starting line. You run at 6 meters/second, while your friend runs at 5.5 meters/second. After how many seconds will you and your friend be same distance from the starting line? seconds months
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

20 seconds

Step-by-step explanation:

Your friend starts 10 meters in front of the starting line.

You start from the starting line.

You run at 6 meters/ second.

Your friend runs at 5.5 meters/second.

You and your friend will be at the same distance from the starting line only when you are able to catch your friend.

The relative speed between you two is the difference in your speed and your friend's speed that is:

6-5.5=0.5m/s

So to cover 10 meters of separation at the speed of 0.5 meter/second it will take:

t=\frac{10}{0.5}= \frac{100}{5}=20s

So it will take 20 seconds for you and your friend to be at the same distance from the starting line.  

yanalaym [24]3 years ago
5 0

Answer:

20 seconds is correct.

Step-by-step explanation:

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4 years ago
It cost $44.88 to buy 12 gallons of gas.What was the cost per gallon of gas?
Natali [406]

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$3.74 per gallon

Step-by-step explanation:

1. Divide $44.88 by 12

2. The answer will be 3.74

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4 0
4 years ago
A factory makes 4250 bars of chocolate. There were three kinds of chocolate bars - creamy, milky and
mariarad [96]

Answer:

2525

Step-by-step explanation:

1. Draw a block diagram to illustrate the different types of chocolate bars. (In this diagram, the creamy chocolate bars are shown as orange blocks, the milky chocolate bars as blue blocks and the white chocolate bars as red blocks.)

2. Since the number of creamy chocolate bars was 5 times the number of milky chocolate bars, we can replace one orange block (creamy) with 5 blue blocks (milky).

Since the number of white chocolate bars was 715 more than the number of milky chocolate bars, we replace one red block with one blue block + 715.

3. Looking at the block diagram, find the number of milky chocolate bars (blue block)

4250 – 715 = 3535

7 blue blocks = 3535

1 blue block = 3535 ÷ 7 = 505

The number of milky chocolate bars made was 505.

4. Calculate the number of creamy chocolate bars.

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8 0
4 years ago
What is the slope and y intercept of y > 4x - 3​
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Step-by-step explanation:

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8 0
3 years ago
The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

(c) 0

Step-by-step explanation:

Let <em>X</em> denote the heights of women in the USA.

It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

8 0
3 years ago
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