What is the discount on a stethoscope that is marked down from $300 to $250

if the speed of sound is 344 meters per second, what is the approximate speed of sound, in meters per hour?

choli [55]

Since we already know that the speed of sound is 344m per second, there are 60 seconds in one minute, and there are 60 minutes in one hour, we just multiply 344 by 60, giving us 20,640. Then we multiply 20,640 by 60 to get an answer of 1,238,400 meters per hour.

4 0

3 years ago

Let s represent the number of games a baseball fan attends. Enter an

jek_recluse [69]

Answer:3240<50s*81=4050

6 0

3 years ago

The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?

jonny [76]

height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

6 0

3 years ago

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4.

NISA [10]

We are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A.

3 0

3 years ago

Help I’m stuck on this question I’ve been stuck on it for a while I can’t seem to figure it out please help for ten points

Naddika [18.5K]

Answer:

$\frac{1}{25}$

Step-by-step explanation:

I think what it is trying to say is that it wants the solution to multiplying all of those. The (...) simply means that it wants you to continue that pattern in what you are supposed to be multiplying, but stop at $\frac{24}{25}$ .

That would mean you are technically supposed to be multiplying:

$\frac{1}{2} \frac{2}{3} \frac{3}{4} \frac{4}{5} \frac{5}{6} \frac{6}{7} \frac{7}{8} \frac{8}{9} \frac{9}{10} \frac{10}{11} \frac{11}{12} \frac{12}{13} \frac{13}{14} \frac{14}{15} \frac{15}{16} \frac{16}{17} \frac{17}{18} \frac{18}{19} \frac{19}{20} \frac{20}{21} \frac{21}{22} \frac{22}{23} \frac{23}{24} \frac{24}{25}$

That is a lot and unfortunately, none of the individual fractions can be simplified within that. The final answer would be able to be simplified, though.

Multiplying the first four shown: $\frac{1}{2}\frac{2}{3} \frac{3}{4} \frac{4}{5}$ you end up with $\frac{24}{120}$ . Both the numerator (top) and the denominator (bottom) are divisible by 24. Dividing top and bottom would simplify this to $\frac{1}{5}$ .

Now, let's take the next four.

$\frac{5}{6}\frac{6}{7} \frac{7}{8} \frac{8}{9}$ allows you to end up with $\frac{1680}{3024}$ . Both the numerator (top) and the denominator (bottom) are divisible by 336. You are left with $\frac{5}{9}$ .

Now, let's take the next four.

$\frac{9}{10}\frac{10}{11} \frac{11}{12} \frac{12}{13}$ . Multiplying these gives you $\frac{11880}{17160}$ . Both the numerator (top) and the denominator (bottom) are divisible by 1320. You are left with $\frac{9}{13}$ .

Now, let's take the next four.

$\frac{13}{14}\frac{14}{15} \frac{15}{16} \frac{16}{17}$ . Multiplying these gives you $\frac{43680}{57120}$ . Both the numerator (top) and the denominator (bottom) are divisible by 3360. You are left with $\frac{13}{17}$ .

*<em> Although I would continue to say let's take the next four, there appears to be a pattern in the simplification. The numerators we have gotten have all been four less than their denominators, and each numerator has been four more than the last. I cannot be certain, but we only have two sets of four left. If this pattern continues, the simplifications of each should be $\frac{17}{21}$ and $\frac{21}{25}$ . I will continue on for argument's sake, anyways.</em>

The next four are $\frac{17}{18}\frac{18}{19} \frac{19}{20} \frac{20}{21}$ . Multiplying these, you are left with $\frac{116280}{143640}$ . Both the numerator (top) and the denominator (bottom) are divisible by 6840. We are left with $\frac{17}{21}$ . This is the exact guess I had made when following the pattern, and so the next one is most likely going to be the other guess as well.

Our final answer will be $\frac{1}{5}\frac{5}{9} \frac{9}{13} \frac{13}{17}\frac{17}{21} \frac{21}{25}$ all multiplied together. We end up with $\frac{208845}{5221125}$ . Both the numerator (top) and denominator (bottom) are divisible by 208845.

Simplified, your final answer is: $\frac{1}{25}$ .

* <u>NOTE:</u> that another way to solve this would just be to multiply all numbers from 1-24 together and then 2-25, but you would end up with a very large number that would be just as time consuming to simplify. To get the GCF fast, I used a GCF calculator.

6 0

3 years ago