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USPshnik [31]
3 years ago
13

Roshonda begins riding her bike home from school at 3:00p.M., traveling 12 miles per hour. James leaves school in a bus a quarte

r of an hour later and travels 35 miles per hour in the same direction. At about what time will James catch up to Rochonda
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

Step-by-step explanation:

At the point where Roshonda and James meet each other, they must have covered equal distances.

Let x represent the distance that Roshonda covered while riding from school to home and also the distance covered by James while travelling in a bus from school.

Let t represent the time it took Roshonda to cover x miles.

Distance = speed × time

Therefore

x = 12 × t = 12t

James left school 0.25 hours later at a speed of 35 miles per hour. Time spent by James in covering x miles would be t - 0.25.

Distance covered would be

x = 35(t - 0.25) = 35t - 8.75

Since the distance covered is the same, then,

12t = 35t - 8.75

35t - 12t = 8.75

23t = 8.75

t = 8.75/23 = 0.38 hours

0.38 + 0.25 = 0.63 hours

0.63 × 60 = 37.8 minutes

At about 3:38 pm, they would meet

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Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

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3 years ago
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You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg
katovenus [111]
Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:


x = half of the length of the enclosure


2x = the length of the enclosure


y = the width of the enclosure


P = 800 ft the perimeter


The perimeter of the two enclosures can be expressed P = 4x + 2y thus


4x + 3y = 800


Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3


The area of the two enclosure is A = 2xy.


Substituting y = 800/3 - 4x/3 in A = 2xy we get


A = 2x(800/3 - 4x/3)


A =1600x/3 - 8x^2/3


We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum: 


x max = -b/2a, a = (-8/3), b = 1600/3


x max = (-1600/3)/(2*(-8/3))


x max = 100 ft


y = 800/3 - 4*100/3


y = 133.33 ft


2x = 2*100


2x = 200 ft

3 0
3 years ago
Write 5.24 in expanded form
Katarina [22]
This is how you write 5.24 in expanded form 5+0.2+0.04
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3 years ago
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What is the divisor of 2/7
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Answer:

the divisor is 7.

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Find five numbers so that the mean, median, mode and range is 4.<br>​
Nuetrik [128]

Answer:

Let’s break this apart

Well we know the median has to be 4

Since it’s 5 numbers the middle number has to be 4 since its the median.

Let’s put in what we know.

a, b, 4, d, e

Constraints:

There has to be more then 1 “4”.

e-a = 4

So using that information lets solve since the possibility is almost endless

<u></u>

SO lets make e 5 and a 1.

1, b, 4, d, 5

There has to be more then 1 4 so lets put that as b.

We can solve for the last remaining digits.

1+ 4 + 4 + d + 5 / 5 = 4

14 + d /5 = 4

2.2 + d = 4

1.8 = d

So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.

1, 1.8, 4, 4, 5

Thats your 5 numbers right there.

Check:

Mode is 4: yes!

Range is 4: 5-1 = 4 yes!

Median is 4: yes!

Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!

Every thing checks out.

There could be a lot of possibilities.

For example take this wrong one

Lets make the same exact thing except change the a and the e.

THis is what we have,

a, b, 4, d, e

Lets make e and a as 6 and 2.  6-2 is still 4 so its possible.

2, b, 4, d, 6

And of course we need more then 1 4 so lets make d 4.

2, b, 4, 4, 6

Now solve for b in the mean.

2 + b + 4 + 4 + 6  / 5 = 4

16 +b /5 = 4

3.2 + b = 4

Solve

B = 0.8

This doesn’t work cause the median and the range has constraint here…

When doing a median, it has to be in ORDER.

2, 0.8, 4, 4 , 6 isn’t in order

ANd even when put in order.

0.8, 2, 4, 4, 6

THe range has the constraint here becuase 6 - 0.8 isn’t 4.

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2 years ago
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