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3 years ago

If a shark can swim 27 miles in 9 hours, how many miles can it swim in 12 hours

Mathematics

2 answers:

Katen [24]3 years ago

5 0

Answer:

answer is 36

Step-by-step explanation:

27=9

?=12

27/3=9+27=36

777dan777 [17]3 years ago

4 0

Answer:

36 miles

Step-by-step explanation:

given:

9 hours -------> 27 miles

1 hour ----------> 27 / 9 miles

12 hours -------> (27/9) x 12 = 36 miles

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Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago

2. Lamar purchases comic books at garage

Otrada [13]

Answer:

Lamar will charge $\$7$ to the comic dealer for a comic book.

Solution:

It is given that lamar purchases a comic book for $\$4$ . He then marks up the price of a comic book by $75\%$ which means he increases the price of the book by $75\%$ and then sells it to the comic dealer.

We have to find out how much will he charge the comic book dealer.

New price of the book after lamar marks up the price is given by

New price $= \$4 + \frac{75}{100} \times \$4$

= $\$4 + \$3$ $= \$7$

Thus, lamar will charge $\$7$ to the comic dealer for a comic book.

4 0

3 years ago

Help plz. 6th grade math

evablogger [386]

Answer:

2.5z^2+3z+4.2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

4.9 - 14.7 ion what it is.

lidiya [134]

Answer: -9.8
step by step explanation:

3 0

2 years ago

2. What term is defined below?

Lelu [443]

Answer: D. segment

Step-by-step explanation: c

6 0

3 years ago