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1 year ago

11

Ardi and lei are both travelling by train. Ardi’s train travels 70km in 35 minutes. Lei’s train travels 585km. It leaves at 9:05

and arrives at 13:35. Work out the difference in Km/h between the average speed of there trains

1 answer:

LuckyWell [14K]1 year ago

8 0

Answer:47.14km/h

Step-by-step explanation:

585÷3 and 1/2=167.14km/h

70÷35/60=120km/h

167.14-120=47.14km/h

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There are 15 students who take Latin, and 10 students who take both.
Therefore:
15+10 =25 total students taking Latin
25students / 50 total students = 1/2

The answer is 1/2.

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2 years ago

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Consider the lengths of stay at a hospital’s emergency department. Hours Count Percent 1 18 3.44 2 55 10.50 3 81 15.46 4 109 20.

Vladimir [108]

Answer:

Probability = 0.502

Step-by-step explanation:

We are given the following data :

Hours Count Percent

1 18 3.44

2 55 10.50

3 81 15.46

4 109 20.80

5 88 16.79

6 66 12.60

7 39 7.44

8 17 3.24

9 17 3.24

10 19 3.63

15 15 2.86

We need to calculate the probability

P(Length of stay of exactly 1 is less than or equal to 4)

P( $Y \leq 4$ ) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)

$P(Y \leq 4) = 0.0344 + 0.1050 + 0.1546 + 0.2080 = 0.502$

We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.

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2 years ago

Connie keeps her sports card collection in a 54-page book. Each page has 9 slots for cards. Football cards take up the first 18

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Answer:

162

Nine time Nine times Two gets you the answer provided

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2 years ago

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Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.

Arturiano [62]

Answer:

<u>A. When Rita started, she had 7 packages of saplings.</u>

<u>B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

<u>When Rita started, she had 7 packages of saplings.</u>

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

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2 years ago

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

denpristay [2]

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

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2 years ago