Answer:
300 dollars
Step-by-step explanation:
Let the original amount = x
x - 2/5x was what his mother's share looked.
5/5 x - 2/5 x
3/5x is what is left.
3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers
3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15
3/5x * (1 - 1/4 - 2/3) = 15
3/5 x 5/60 = 15
15 / 300 * x = 15
1/20 x = 15
x = 15 * 20
x = 300
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:
a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c
So, this rounded to the nearest tenth would be:
21.2 meters !
If you divide both the Cashew butter and the macadamia butter in half and then multiply the peanut butter by 4 you will get $25.62 (after adding the answers up)
F(x) = 20000 (1-0.15) power x
So
f(x) = 20000 (0.85) power x
Answer:
20
Step-by-step explanation:
Patrica got 80% correct. She missed 4 problems, so that must have been the remaining 20% of the test.
Therefore:
4 = 20% x
Percent means out of 100, so:
4 = (20/100) x
4 = 1/5 x
x = 20
There were 20 problems on the test.