Answer:
0.375x^2
Step-by-step explanation:
(-1.5x)(-0.25x)
= (-1.5)(0.25)(x)(x)
= 0.375x^2
Minus 12 over 16 and 12 over 16
There you go!
Firstly, you have yo multiply out the first bracket by multiplying (2x - 5) by 4. The equation would then look like:
8x - 20 = 5x - 20 + 3x
Then you have to put normal numbers on one side and x-terms on the other. It would look like:
-20 + 20 = 5x + 3x - 8x
Then you should solve the additions and subtractions
0 = 0x
Since ANY number multiplied by 0 is zero, your equation has infinite solutions.
The diagonal of length 2r forms the hypotenuse of a right angled triangle with one leg ( the width of the rectangle) = x. So by Pythagoras:-
(2r)^2 = h^2 + x^2 where h = height of the rectangle
h^2 = 4r^2 - x^2
h = √ (4r^2 - x^2) answer
First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
