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Bumek [7]
3 years ago
6

It takes Max 1 minute and 45 seconds to run around a track once. It takes Max 3 minutes to walk one lap on the same track. If Ma

x walks and runs around the track and completes 10 laps in 25 minutes, how many laps did he run?
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

4 laps running

Step-by-step explanation:

Les r be the number of laps he completed running an w the number of laps he walked. Also, lets write all in seconds, which can be a little easier than working with minutes.

Then, as it takes him 1:45 minutes by running, and we know that 1 minute is equal to 60 seconds, we can say it takes him 60+45=105 seconds to run a lap.  Then, as it takes him 3 minutes to walk a lap we can say it takes him 3*60=180 seconds to walk a lap.

Thus, in total the minutes he needs if he runs r laps and walk w laps is:

time = 105 r + 180 w

As we know he did his laps in 25 minutes, which are equivalent to 25*60=1500 seconds:

105 r + 180 w = 1500 [equation 1]

We also know he completes 10 laps, which means that"

r + w = 10 [equation 2]

We can subtract w (or r) in both sides of equation 2 to get the value of r as a function of w:

r = 10 - w [equation 2']

Then we can plug equation 2' in equation 1 leaving all in terms of w:

105 r + 180 w = 1500

105 (10 - w) + 180 w = 1500

1050 - 105 w + 180 w = 1500

1050 + 75 w = 1500

If we subtract 1050 in both sides:

75 w = 1500 - 1050

75 w = 450

Dividing both sides by 75 we get the value of w:

w = 450/75

w = 6

So, he walked 6 laps. Then, he must have run the remaining 4 laps.

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The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi
son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0
3 years ago
What’s the answer???
Harrizon [31]

first

second

and fifth are true

Basically the square root of -1 is i. From that you should be able to deduce the answers.

5 0
3 years ago
Find the cost of 20 grams of lead at 60$ per kilogram
ASHA 777 [7]

Answer:

$1.20

Step-by-step explanation:

Ratio:

Grams : Kilograms

1 : .001

Multiply both sides by 20 to convert grams to kilograms:

Grams : Kilograms

1 : .001

x20 x20

20 : .02

This means that 20 grams of lead = .02 kilograms of lead

Price:

Cost : Kilogram

$60 : 1

Multiply both sides by .02 to find the price of the lead:

Cost : Kilogram

$60 : 1

x.02  x.02

$1.20 : .02

Therefore, .02 kg of lead costs $1.20.

6 0
3 years ago
Goods that cost 1/5 of one dollar in the U.S. cost one kroner in Denmark, the real exchange rate would be computed as how many D
hodyreva [135]

Answer:

The amount of Kroner that can be bought from 1/5 of one dollar.

Step-by-step explanation:

We have been given that goods that cost 1/5 of one dollar in the U.S. cost one kroner in Denmark. We are asked to find the the real exchange rate that would be computed as how many Danish goods per U.S. goods.

The real exchange rate tells us how much foreign currency can be exchanged for a unit of domestic currency.

It also tells us that how much the goods and services in the domestic country can be exchanged for the goods and services in a foreign country.

Therefore, the real exchange rate would be the amount of Kroner that can be bought from 1/5 of one dollar.

5 0
3 years ago
Evaluate 37.6 - 25.49 (Round to the nearest hundredth place)
Marrrta [24]
37.6  - 25.49 =

12.11

now i round

12.10



5 0
3 years ago
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