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maw [93]
3 years ago
14

If 8 apples cost $1.60, how much is one apple?

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
1.60÷8=0.2$
it's 20 cents
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A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t
polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0
3 years ago
The population of a certain species of insects increases exponentially according to the model, P(0) = 952e0.12t where P is the n
NeX [460]
Answer:

A) 952 insects are in the original colony

B) 10494 insects are in the colony after 20 weeks

C) 25 weeks

Explanations:

The model representing the population of the species of insects

P(t)=952e^{0.12t}

An exponential growth is of the form:

P(t)=P_0e^{kt}

where P₀ is the original population

t is the time taken in weeks

Comparing the two equations:

P_0=\text{ 952}

952 insects are in the original colony

B. The number of insects that will be in the colony after 20 weeks

Substituting t = 20 into the function given

\begin{gathered} P=952e^{0.12(20)} \\ \text{P = }10494 \end{gathered}

C) If the population, P = 20000

\begin{gathered} 20000=952e^{0.12t} \\ e^{0.12t}=\text{ }\frac{20000}{952} \\ e^{0.12t}=21.008 \\ 0.12t\text{ = ln(21.008)} \\ 0.12t\text{ = }3.04 \\ t\text{ = }\frac{3.04}{0.12} \\ t\text{ = }25 \end{gathered}

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1 year ago
What is the quotient property of exponents?
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Answer:

when you divide powers with the same base, you can just subtract the exponents

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4 years ago
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Is the sequence "109,104,99,94", finite?
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Answer:

NO.

Step-by-step explanation:

The common difference is -4 and you can continue to add -4  for ever!!

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4 years ago
Explain how to find the greatest common factor of three numbers. Plz need this bye 8:03
andreev551 [17]
==> list the factors of the first number
==> list the factors of the second number
==> list the factors of the third number

==> find the factors that are on all three lists
==> the biggest one of these is the greatest common factor of the original three numbers
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3 years ago
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