Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes
2 dimes=20 cents
3 nickels = 15 cents
3 pennies=3 cents
Or these 8 coins = 38 cents
Adding fractions:
Lets say you have two fractions like 1/2 and 1/3. To add them, you have to make the denominator the same. So we find the least common multiple of 2 and 3, which is 6, so we multiple 1/2 by 3/3 so we have 3/6 without changing the value, and we multiple 1/3 by 2/2 to have 2/6. Then we add the numerators and have 5/6.
Subtraction fractions:
Same thing as adding, just subtracting instead.
Both need to make sure you have the same denominator.
Multiplying fractions:
This is the most simple. All you do is multiply the numerators and the denominators. So if you have 5/6 and 3/4, you multiply the numerators to have 15, the denominators to have 24, and so you have 15/24, simplified to 5/8.
Dividing fractions:
If you have 5/6 divided by 3/4, you flip the 3/4 to 4/3, and you multiply that with 5/6.
Intersecting the x axis means y is 0
plug y=0 in the equation and solve for x to see if there are real solutions
x^2-10x+0+0=-30
x^2-10x+30=0
this cannot be factored, so let's see if b^2-4ac is bigger than 0
10^2-4*1*30=-20
so the solutions for this equation are not real numbers, therefore the answer is no.
Let the numbers be x and y, then
2x + y = 47 . . . (1)
x + 3y = 56 . . . (2)
(2) x 2 => 2x + 6y = 112 . . . (3)
(1) - (3) => -5y = -65 => y = -65/-5 = 13
From (2), x + 3(13) = 56 => x = 56 - 39 = 17
The two numbers are 13 and 17.
