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zimovet [89]
3 years ago
8

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to complete its route once and bus B takes 35 minutes to com

plete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together? Assume the buses have no breaks in between routes. Give your answer as a 12-hour clock time.
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Bus A will take 1 hour and will arrive back at 6pm, because 30+30=60 and there are 60 min is one hour. Bus B will arrive 1 hour 10 minuets. 35+35=70, Knowing that it will arrive there in over an our because there is more than 60 min, and the extra ten is the amount of minuets. SO bus B will arrive at 6:10pm. Hope I explained this right.

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mario62 [17]

a.

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

\text{ratio}=\frac{20}{-5}=-4

b.

The recursive rule can be found with the formula:

a_n=a_{n-1}\cdot q

Where an is the nth term and q is the ratio. So we have:

a_n=a_{n-1}\cdot(-4)

c.

The explicit rule can be written as:

a_n=a_1\cdot q^{n-1}

Where an is the nth term, a1 is the first term and q is the ratio. So:

a_n=-5\cdot(-4)^{n-1}

5 0
11 months ago
Simplify the expressions:
mestny [16]

Answer:

-1v

0.6y+2.1

3w-p+4

1-6x

0

-5x+10y+z-25

Step-by-step explanation:

Combine like terms

8 0
3 years ago
Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.​
noname [10]

Hey!

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They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

-2 = 8(3) + b

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-26 = b

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Hence, the answer is \Large\boxed{\mathsf{y~=~8x~+~-26}}

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4 0
3 years ago
If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the po
Stells [14]

Answer:

D is the answer

64,000 exponential function  

Step-by-step explanation:

64,000 exponential function  

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\frac{630}{210}

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Multiply the population by 2 a total of 3 times.

8000 × 2³ = 64,000

8 0
2 years ago
What is the surface area of a storage box that measures 15 centimeters by 12 centimeters by 8 centimeters?
Leya [2.2K]
L = 15
w = 12
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S.A. = 2(180 + 96 + 120)
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7 0
3 years ago
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