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Arlecino [84]
3 years ago
13

If they immediately ran in opposite directions with speeds of 180 feet per minute and 120 feet per minute respectively, how many

minutes would pass before they were 2,420 feet apart?
Mathematics
2 answers:
Damm [24]3 years ago
8 0
This is like half the question, but I guess you got the important stuff down...lol. Anyways, the runners run for the same amount of time.  They both stop when the distance between them in 2420, so the thing that's different is their rates, which means that the one that runs faster goes farther than the one that runs slower.  But we don't know the distance they each run, so we can call the distance the faster guy runs "d" and the other distance "2420-d".  Rates are 120 and 180, respectively.  Since d = rt and the time is the same for both, we solve for t to get that t = d/r.  Set up the ratios and cross multiply to solve for d: \frac{d}{120} = \frac{2420-d}{180} and 180d=290400-120d.  300d=290400 and d = 968.  Go back to your original equation of d=rt and sub in the d of 968 to solve for t: d=120t so 968=120t and t = 8.06 minutes.
Olin [163]3 years ago
5 0
2420 / (180 + 120) = 8 2/3 minutes.
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suppose that 23% of the people have a dog, 18% of the people have a cat and 5% of people own both. what is the probability that
mixer [17]
<h2>Addition</h2><h3>Concept</h3>

Add units together in order to reach a sum.

<h3>Utilization</h3>

In this problem, you are told to find the probability (or %) that someone owns either a dog, OR a cat. If they own both - then they do in fact own a dog or cat. So the formula is:

dog owners % + cat owners % + both owners %

Aka,

23 + 18 + 5 = 46

<h3>Answer</h3>

The answer is 46% of people own either a cat or a dog, because 23% + 18% + 5% is 46%.

4 0
3 years ago
The numbers a,b,c,d are four consecutive terms of an arithmetic sequence and a+b+c+d=12
likoan [24]

The smallest possible product of these four numbers is 59.0625

<h3>How to find the smallest possible product of these four numbers?</h3>

The equation is given as:

a + b + c + d = 12

The numbers are consecutive numbers.

So, we have:

a + a + 1 + a + 2 + a + 3 = 12

Evaluate the like terms

4a = 6

Divide by 4

a = 1.5

The smallest possible product of these four numbers is represented as:

Product = a * (a + 1) * (a + 2) * (a + 3)

This gives

Product = 1.5 * (1.5 + 1) * (1.5 + 2) * (1.5 + 3)

Evaluate

Product = 59.0625

Hence, the smallest possible product of these four numbers is 59.0625

Read more about consecutive numbers at:

brainly.com/question/10853762

#SPJ1

6 0
1 year ago
Complete the table so that the cost per banana remains the same.
Aneli [31]

Step-by-step explanation:

No. of banana    Cost      Unit price

4                            2            0.50

6                            3             0.50

7                           3.5           0.50

20                         10            0.50

20                          10             0.50

33                          16.50        0.50

Cost = No of banana x unit price

Cost = 4 x 0.50 = 2

Cost = 6 x 0.50 = 3

Cost = 7 x 0.50 = 3.50

Cost = 20 x 0.50 = 10

No of banana = Cost / Unit price

No of banana = 10 / 0.50 = 20

No of banana = 16.50 / 0.50 = 33

3 0
3 years ago
the ratio of cars to trucks at an auto dealer is 3/2. if there are 144 cars at the dealership, how many trucks are there?​
lana [24]

Answer:

96

Step-by-step explanation:

for every 3 cars there is 2 trucks

If you have 144 cars then we divide 144 by 3 to get 48

That is not the answer though because that would be a 3/1 ratio

We then multiply 48 by 2 to get 96

5 0
3 years ago
A university administrator expects that 25% of students in a core course will receive an
xxMikexx [17]
75% i would think if you subtract 25% from 100% of the class
3 0
2 years ago
Read 2 more answers
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