3 years ago

a bookshelf holds 4 different biographies and 5 different novels. How many ways can one book of each type be selected?

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Try 4!5! = 24*120 = 2880 different ways

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A barrel of oil was filled at a constant rate of 7.5 gal/min. the barrel had 10 gallons before filling began. write an equation

Xelga [282]

Assuming that :

- The number of the gallons is symbolized by g
- Time per minute is symbolized by t

the equation would be :

g = 10 + 7.5 t

Hope this helps

5 0

3 years ago

Solving Exponential Equations (lacking a common base)<br> 31^d=38

Bond [772]

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

8 0

3 years ago

The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as

9966 [12]

Solution:

Given;

$\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}$

Using the identities;

Thus;

$\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\ \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}$

CORRECT OPTION: A

6 0

1 year ago

Each person attending a two-day conference receives 4 meal vouchers to use.

Lisa [10]

Part A: Let x and y be the number of persons attending the two-day conference and y be the number of vouchers released. The equation that would best express the given is,
y = 4x

Part B: The number of people attending the conference is determined by dividing the given number of vouchers by 4. The answer is 956.

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3 years ago

A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?

Evgesh-ka [11]

3.43 dollars divided by 7 minutes = 0.49 cents

4 0

3 years ago