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frosja888 [35]
2 years ago
9

A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45

miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road?
Mathematics
1 answer:
DedPeter [7]2 years ago
5 0
Alright 3 hours =315 because u add up both miles so per hour they move 105miles closer to each other so now we need to figure out how to get an extra 45 miles 


anwser 3hours and 26.08695652173913 min
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Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second
nikitadnepr [17]
Year         Sam              Sally1:             X                    (3/2)X-10002:            (5/2)X-2000     2X-15003:             X/5+1000       X/4+1400Total         37X/10-1000    15X/4-1100
Since their investments are known to be equal, we equate the two totals and solve for X.37X/10-1000=15X/4-1100(150-148)X/40 = 1100-1000X/20=100X=2000
So Sam invested $2000 the first year.Sally invested X/4+1400=1900 in the last year.
6 0
2 years ago
According to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market. A random sample of 70 users
Natalija [7]

Answer:

Probability that 32 or more from this sample used Internet Explorer as their browser is 0.9015.

Step-by-step explanation:

We are given that according to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market.

A random sample of 70 users was selected.

Let \hat p = <u><em>sample proportion of users who used Internet Explorer as their browser.</em></u>

The z score probability distribution for sample proportion is given by;

                            Z  =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, p = population proportion of users who use internet explorer = 53.4%

           \hat p = sample proportion = \frac{32}{70} = 0.457

           n = sample of users = 70

Now, probability that 32 or more from this sample used Internet Explorer as their browser is given by = P( \hat p \geq 0.457)

      P( \hat p \geq 0.457) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } \geq \frac{0.457-0.534}{\sqrt{\frac{0.457(1-0.457)}{70} } } ) = P(Z \geq -1.29)

                            = P(Z \leq 1.29) = <u>0.9015</u>

The above probability is calculated by looking at the value of x = 1.29 in the z table which has an area of 0.9015.

4 0
2 years ago
Identify the 17th term of a geometric sequence where a1 = 16 and a5 = 150.06. Round the common ratio and 17th term to the neares
Mashutka [201]
The geometric sequence formula is expressed as an =  a1 * r^(n-1) where n is an integer. In this case, upon substitution, 150.06 = 16 * r^(4). extracting r, r is equal to 1.75. Hence the 17th term from the formula is equal to 123802.32.


8 0
2 years ago
Read 2 more answers
For Joe's illness, the doctor gave him a prescription of 28 pills. He needs to take 4 pills the first day, and then 2 pills each
kiruha [24]

Answer:

12 days.

Step-by-step explanation:

I looked at it this way:

He has to take 4/28 pills the first day, so it's 28-4=24. Then I divided 24 by 2.

In simpler terms:

28-4=24

24/2

12

8 0
2 years ago
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