Ask question

Ask question

All categories

3 years ago

12

logan swam 750 meters in 1/3 hour mila swam 3/3 of logans distance in 1/4 hour what is logans average swimming speed? what is mi

las swimming speed? show work

1 answer:

user100 [1]3 years ago

3 0

Answer:

Logan's average swimming speed = 0.625 metres/second

Mia's average swimming speed0.833 metres/second

Step-by-step explanation:

Speed is obtained by dividing the distance covered by the time taken to cover such a distance.

<em>It will be necessary to make sure we are working in seconds for our time units.</em>

Logan's swimming time: 1/3 hours will be = 20 minutes = 1200 seconds

Mia's swimming time: 1/4 hours will be = 15 minutes = 900 seconds

Logan swam 750 metres. Logan's swimming speed will be

750metres / 1200 seconds = 0.625 metres/second

Mia's distance swam is 3/3 of Logan's. If we reduce the fraction 3/3 to its lowest term, we will have that it will be = 1/1.

1/1 X 750metres = 750 metres.

This means that Mia swam exactly the same distance as Logan.

Mia's swimming speed = 750 metres/ 900 seconds = 0.833 metres/second

You might be interested in

I need help with a math question that is 0.1x = 5/y

BabaBlast [244]

Unfortunately you have not included the directions. Are you supposed to solve for x? or for y?

Suppose the directions say, "Solve for x." Then, clear out the decimal fraction by mult. both sides of the given equation by 10. This will give you the solution, that is, a formula for x in terms of y.

3 0

3 years ago

47 In 2012 there were approximately 8,950 public libraries in the United States. A survey found

Ipatiy [6.2K]

Answer:

6802

Step-by-step explanation:

Number of liberaries = 8950

76% offered free acces to ebooks.

How many offered access to ebook = 76% / 100% x 8950

= 0.76 x 8950

= 6802

4 0

3 years ago

Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

a pharmacist has 10 and 90 iodine solutions on hand. how many liters of each iodine solution will be required to produce 8 liter

Westkost [7]

1 litre of 10% solution contains 100mL of iodine
1 litre of 90% solution contains 900mL of iodine
Mixing them will produce 2 litres of solution containing 1000mL of iodine which is 50% iodine.
To produce 8 litres of 50% iodine they can mix 4 litres of 10% and 4 litres of 90%

6 0

2 years ago

A board of length 7 divided by the quantity x minus 2 end of quantity meters was cut into two pieces. If one piece is 3 divided

bulgar [2K]

Answer:

Length of other board $=\frac{4x+20}{x^{2} -4}$ metres

Step-by-step explanation:

Given: Length of board = $\frac{7}{x-2}$ metres

Length of board was divided into two.

Length of one piece = $\frac{3}{x+2}$ metres

Let $l$ = length of the other board

Length of the other board = Length of board - Length of one piece

So, $l=\frac{7}{x-2}-\frac{3}{x+2}$

$l=\frac{7(x+2)-3(x-2)}{(x-2)(x+2)} \\\\l=\frac{7x+14-3x+6}{x^{2} -4} \\\\l=\frac{4x+20}{x^{2} -4}$

Thus, length of the other board $=\frac{4x+20}{x^{2} -4}$ metres

4 0

3 years ago