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2 years ago

Solve John bakes 147 donuts in 7 batches. How many does each batch contain?

Mathematics

2 answers:

lys-0071 [83]2 years ago

8 0

You can solve this by dividing the baches into the total amount of donuts.

147/7=21

Each batch has 21 donuts.

snow_tiger [21]2 years ago

6 0

21 donuts
Hope this helped

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A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist

Kisachek [45]

Answer:

The distance travel by cyclist in 20 seconds is 528 feet .

Step-by-step explanation:

Given as :

The speed of cyclist riding bike = s = 18 miles per hour

Let The distance cover by cyclist in 20 seconds = d feet per sec

Now, According to question

∵ 1 miles = 5280 feet

∴ 18 miles = 5280 × 18 = 95,040 feet

So, The speed of cyclist in feet per hour = 95,040 feet per hour

Again,

∵ 1 hours = 3600 seconds

So, The speed of cyclist in feet per sec = $\dfrac{95040}{3600}$ ft/sec

∴ The speed of cyclist in feet per sec = 26.4 feet per second

Again

∵ In 1 sec the distance cover by cyclist = 26.4 feet

∴ In 20 sec the distance cover by cyclist = 26.4 × 20 feet

i.e In 20 sec the distance cover by cyclist = 528 feet

Hence, The distance travel by cyclist in 20 seconds is 528 feet . Answer

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2 years ago

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Answer:

A≈534.07

Step-by-step explanation:

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Answer:

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If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:

2000e^(0.05t) = 5000e^(0.02t)

(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)

2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))

2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))

ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )

t = ln(2/5) / -0.03 (Divide each side by -0.03)

= 30.54 (to two decimal places)

Therefor, the population of species A will be equal to the population of species B after 30.54 years.

I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.

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