If: 100n = 300
Then divide both sides of the equation by 100 to find the value of n:-
n = 3
0.242424.... = 0.24 + 0.0024 + 0.000024 + ....= 0.24 (1 + 1/1001 + 1/1002 + 1/1003 + .... + 1/100n)= 0.24 * (the sum of (1+1/100n) from n=0 to infinity)As |r|
Let's form the proportion: 0.6/1.1 = n/8.47 or (6/10)/(11/10) = (n/1)/(847/100) (6/10)(10/11) = (n/1)(100/847) 6/11 = 100n/847 Proportion is a statement that two ratios are equal. The value of n makes this proportion true. The numbers that form a proportion are called the term of proportion. There is a special relationship between the terms, called the cross products property. That is, 6/11 = 100n/847 (6)(847) = (11)(100n) 5082 = 1100n so, n must be a number that when multiply 1100 equals 5082. 5082/1100 = (1100/1100)n 4.62 = n So, the proportion is: 6/11 = [100(4.62)]/847 6/11 = 462/847 Or, If you look at 847, you see that 11 x 77 = 847. So 100n must equals 6 x 77 = 462, in order to make the proportion true. So, 100n = 462 n = 4.62 and 100 x 4.62 = 462. Thus the proportion is: 6/11 = 462/847 If you want the original proportion is, 0.6/1.1 = 4.62/8.47
Let the recurring decimal be represented by 'n' Then 100n - n = 99n 100 x 0.7474764.... = 74.747474.... Then subtract the original decimal figure. 74.747474..... - 0.747474.....= 74.0000 = 99n Therefore n = 74/99
No. Suppose such a polygon has n sides. Then the sum of the interior angles is (n-2)*180 degrees. Since it is regular, each interior angle is (n-2)*180 / n degrees. Thus (n-2)*180 / n = 100 (n-2)*180 = 100*n 180n - 360 = 100n 80n = 360 n = 4.5 Sorry, but you cannot have a polygon with 4.5 sides!
There are 10 nickels, 20 dimes and 40 quarters in the cash register. The 10 nickels is 10 x 5 cents or 50 cents. The 20 dimes is 20 x 10 cents or 200 cents. The 40 quarters is 40 x 25 cents or 1000 cents. Converting and adding these, we get $0.50 + $2.00 + $10.00 = $12.50, which is the sum given in the question. Let's work through it. The number of nickels is N, the number of dimes is D and the number of quarters is Q. These are our variables in this problem. We don't know how many of them there are, and their numbers could vary. That's why we call them variables. We might also call them unknowns, too. A nickel is 5 cents, so the value of the nickels is the number of nickels, which is N, times the value of the nickel, which is 5 cents. That's 5N here. A dime is 10 cents, so the value of the dimes is the number of dimes, which is D, times the value of the dime, which is 10 cents. That's 10D here. A quarter is 25 cents, so the value of the quarters is the number of quarters, which is Q, times the value of the quarter, which is 25 cents. That's 25Q here. The sum of the values of the coins was given as $12.50, or 1250 cents, because we are working with coins, whose values are measured in cents. Further, we can write this expression as 5N + 10D + 25Q = 1250 on our way to the answer. Of the last two facts, the first was that there were twice as many dimes as nickels. We could write that as D = 2N because said another way, there are twice the number of dimes as nickels. We might also say that for every nickel, there are 2 dimes, so doubling the number of nickels will give us the number of dimes. The last fact is that there were twice as many quarters as dimes. We could write that as Q = 2D because said another way, thre are twice the number of quarters as dimes. We might also say that for every dime, there are 2 quarters, so doubling the number of dimes will give us the number of quarters. The last two bits of data we have allow us to solve the problem, because the do something special for us. Each bit of data expresses one variable in terms of another. That means we can make substitutions in our expressions for the sum of the values of the coins. Let's put up or original expression, and then do some substitutions. 5N + 10D + 25Q = 1250 This is the original expression. We know that D = 2N, so lets put the 2N in where we see D and expand things a bit. 5N + 10(2N) + 25Q = 1250 5N + 20N + 25Q = 1250 We changed the "look" of the expression, but we didn't change its value. Let's go on. We know that Q = 2D, so lets put that in. 5N + 20N + 25Q = 1250 5N + 20N + 25(2D) = 1250 5N + 20N + 50D = 1250 We're almost there. Remember that D = 2N, and we can substitute that in here. 5N + 20N + 50D = 1250 5N + 20N + 50(2N) = 1250 5N + 20N + 100N = 1250 Groovy! We have substituted variables and now have an expression with only one variable in it! Let's proceed. 5N + 20N + 100N = 1250 125N = 1250 We're close! N = 1250/125 = 10 N = 10 The number of nickels is 10, and because the nickel is 5 cents, the value of these coins is their number times their value, or 10 x 5 cents = 50 cents = $0.50 We were told the number of dimes was twice the number of nickels. This means that since there are 10 nickels, there will 2 x 10 or 20 dimes. And 20 x 10 cents = 200 cents = $2.00 We were also told the number of quarters was twice the number of dimes. This means that since there are 20 dimes, there will be 2 x 20 or 40 quarters. And 40 x 25 cents = 1,000 cents = $10.00 If we add the values of the coins, we should get the $12.50 that we were told was in the register. $0.50 + $2.00 + $10.00 = $12.50 We're in business. The value of each denomination of coins adds up to the given value of all the coins in the register. Piece of cake.
Divide both sides by 100 n = 3
10.515% of 70: put n over 70 equals 15 over 100n ----------15--- equals ---- then cross multiply n x 100 and 15 x 7070---------100which would be 100n and 1050then divide100n --------1050------ equals ------- n equals 10.5%100 -----------100
n = 6050 = 100 Using the criss cross multiplication trick we get 50X60=3000 and 100 X n=100n 3000 = 100n 100 = 100 So 3000÷100=30 and 100n÷100=n. n=30 or 60% of 50 is 30
sqrt(101N)
100N is 22.481 pounds.
100N roughly on earth
The acceleration is 0. That also means that the net force is 0N since the gravity Force is 100N down and the bag of nails is 100N, the air resistance must be 100N up to balance it out and create the net force of 0N
0.242424.... = 0.24 + 0.0024 + 0.000024 + ....= 0.24 (1 + 1/1001 + 1/1002 + 1/1003 + .... + 1/100n)= 0.24 * (the sum of (1+1/100n) from n=0 to infinity)As |r|
16.6666666666666N or 1/6
100N is 10.2 kilos or 22.48 pounds.
On earth, 100N is 10.2kg or 22.5 lbs.
6 m