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Andre45 [30]
3 years ago
14

Bus A leaves the station every 30 mins bus b leaves the station every 20 mins at 10 am both buses leave the station together wor

k out the next time both buses leave at the same time
Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

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Find the first, fourth, and 10th terms of the arithmetic sequence described by the given rule.
mrs_skeptik [129]

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4 0
3 years ago
Read 2 more answers
An airplane ascends such that its gain h in altitude is proportional to the square root of the change x in horizontal distance t
Mazyrski [523]

Answer:velocity=185 m/s

Step-by-step explanation:

So make k the subject of the formula by divide both by sqrt(x)

h= k × sqrt(x)

k=h/sqrt(x)

k=256 / sqrt(256)

k=256 / 16

k=16

So now substitute the value of k :

h= 16 × sqrt (x)

Then differentiate:

=(1/2 × sqrt(x))× 16

=16/(2×sqrt(x)

=8/sqrt(x)

Then

= 8/sqrt(x) × 370

=8/ sqrt(256) × 370

=8/16 × 370

velocity=185 m/s

6 0
2 years ago
Evaluate the following expression. “12 more than 5”
Sonbull [250]
When you evaluate the expression “12 more than 5” you would get the product of 60.
5 0
2 years ago
15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?
kkurt [141]

Answer:

5^x = 25

\log_525 = x

Step-by-step explanation:

Given

Convert from exponential to logarithm

(a) to (d)

Required

Which of the options is correct

Given that:

a^b = c --- Exponential

The logarithm form is:

b = \log_ac

From (a) to (d), only option (c) is correct.

Because it follows the above pattern

i.e.

5^x = 25 \to\to  a^b = c

a = 5   b = x   c = 25

b = \log_ac becomes

x = \log_525

or

\log_525 = x

3 0
2 years ago
Last year there was 380 students at woodland middle school. This year, the student population will increase by 5%. What will be
777dan777 [17]

Answer:

399

Step-by-step explanation:

To find the population in a future year, use the formula:

A = P (1+/-r)^t

where A is the amount, p is the starting population, r is 5% or 0.05, and t is the number of years.

Since the population is increasing it is addition. Here we are finding A. Substitute P =380, r=0.05 and t=1.

A=P(1+r)^t\\A=380(1+0.05)^1\\A=380(1.05)\\A=399 \\


6 0
3 years ago
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