A a squirrel ran 9 miles in one hour. which expression can be used to determine its speed in miles per hour?

Mathematics

1 answer:

julsineya [31]3 years ago

5 0

The unit rate is 9 miles per hour.

In order to find how much its unit rate will be you need to use this expression below.

n = number of hours

m = number of miles

m divided by n or m/n

In order to find how much does he travel in given hours see this below.

n = number of hours

m = number of miles for 1 hour

nm or n * m

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There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane's ther

maxonik [38]

Question is not proper, Proper question is given below.

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels, there are 3 dimes. For every 2 dimes, there are 5 quarters. There are 500 coins in all. How many nickels, dimes, and quarters are in the piggy bank? How much are the coins in the piggy bank worth all together?

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

The piggy bank is worth $91.

Step-by-step explanation:

Let Number of Nickels be represented by 'n'.

Let Number of Dimes be represented by 'd'.

Let of Quarters be represented by 'q'.

Now Given:

For every 2 nickels, there are 3 dimes.

2 n = 3 d

1 n = number of dimes.

We will use Unitary method to find the same.

Number of 1 dimes d = $\frac{3}{2}n$

Also Given:

For every 2 dimes, there are 5 quarters.

2 d = 5 q

1 d = number of quarters

We will use Unitary method to find the same.

Number of 1 quarter q = $\frac{5}{2}d$

Also Given:

Total Number of coins = 500

$n+d+q=500$

Now d = $\frac{3}{2}n$

AND q = $\frac{5}{2}d = \frac{5}{2} \times\frac{3}{2}n = \frac{15}{4}n$

So Substituting the values we get;

$n+\frac{3}{2}n+\frac{15}{4}n=500$

Taking LCM we get making denominator as 4.

$\frac{4}{4}n+\frac{3\times2}{2\times 2}n+\frac{15\times 1}{4\times 1}n=500\\\\\frac{4}{4}n+\frac{6}{4}n+\frac{15}{4}n=500\\\\\frac{4n+6n+15n}{4}=500\\\\\frac{25n}4 =500\\\\25n = 500\times 4\\\\25n =2000\\\\n=\frac{2000}{25}=80$