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Fiesta28 [93]
3 years ago
15

Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red line and the blue line buses both stop

at the stadium.
● A red line and a blue line bus both left the stadium at 4:00 p.m.

● Red line buses were scheduled to leave the stadium every 6 minutes.

● Blue line buses were scheduled to leave the stadium every 8 minutes.

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.
Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Answer:

  • At 4:24 p.m.

Step-by-step explanation:

We need to find the lowest number that is divisible by both 6 and 8.

  • LCM(6, 8) = 24

So, next time is after 24 minutes and every 24 minutes after that.

  • 4: 00 p.m. + 24 min = 4:24 p.m.
romanna [79]3 years ago
6 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

For finding next time a red line and a blue line bus will leave together we will find LCM of 6 and 8.

LCM = (6,8) = 24

Now,

Let's find add the time to LCM

\tt \: 4 : 00 + 0 : 24 = 4 : 24

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Say if we have a expoteintial equation ,

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Part A: A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this
IRINA_888 [86]

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A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
netineya [11]

Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

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So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

6 0
3 years ago
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