Answer:
There would be 10 quarters and 23 dimes.
Step-by-step explanation:
There are generally two methods to solving this type of problem. (1) is guess and check, where you try different amounts of dimes and quarters in combinations of 33 coins until you reach an amount of $4.80. However, we can also solve the problem algebraically using two equations and two variables. In this case, 'd' = amount of dimes and 'q' = amount of quarters. We know that there are 33 total coins, or d + q = 33. We also know that the amount of the coins is $4.80, or .10d + .25q = 4.80. Solving the first equation for 'q', we get q = 33 - d. We can then substitute this expression for 'd' in the second equation to solve for d: .10d + .25(33 - d) = 4.80 or .10d + 8.25 - .25d = 4.80. Combining like terms and using inverse operations, first subtraction then division, we get d = 23. If there are 23 dimes, then there must be 10 quarters, for a total of 33 coins or $2.30 in dimes and $2.50 in quarters.
No because 5 quarts are greater than 1 quart and 3 quarts are greater than 1 quart.
Let w be the width
And let h be the length
h = w + 3
w * h = 28
w(w+3) = 28
w^2 + 3w = 28
Use a calculator (or use the quadratic formula) to get w=4
To find h, just add w by 3.
You get 7.
The dimensions of the rectangle is 4 by 7 cm.
Have an awesome day! :)
Answer:
14.48º
Step-by-step explanation:
tan^-1(100/77) = 52.403...
tan^-1(60/77) = 37.926...
52.403 - 37.926 = 14.477
Find the mode of these numbers: <br>
3,2,5,2,2,5,4,3,2,5,4
Gwar [14]
Hello!
the mode means the most common
so i will list the numbers and how many times they are shown
3-2
2-4
5-3
4-2
meaning that 2 is the most seen number