Answer:
She had eaten 15 chocolates.
Step-by-step explanation:
![\frac{5}{8} * 24 = \frac{120}{8} = 15](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20%2A%2024%20%3D%20%5Cfrac%7B120%7D%7B8%7D%20%3D%2015)
Answer:
![\sqrt{200}](https://tex.z-dn.net/?f=%20%5Csqrt%7B200%7D%20)
Step-by-step explanation:
you have to use pythagoras' theorem
a^2 + b^2 = c^2
diagonal is c as it's the hypoteneuse
10^2 + 10^2 = c^2
100 + 100 = c^2
c =
![\sqrt{200}](https://tex.z-dn.net/?f=%20%5Csqrt%7B200%7D%20)
Answer:
x = -4
Step-by-step explanation:
Solve for x:
(5 x)/4 = x/2 - 3
Put each term in x/2 - 3 over the common denominator 2: x/2 - 3 = x/2 - 6/2:
(5 x)/4 = x/2 - 6/2
x/2 - 6/2 = (x - 6)/2:
(5 x)/4 = (x - 6)/2
Multiply both sides by 4:
(4×5 x)/4 = (4 (x - 6))/2
(4×5 x)/4 = 4/4×5 x = 5 x:
5 x = (4 (x - 6))/2
4/2 = (2×2)/2 = 2:
5 x = 2 (x - 6)
Expand out terms of the right hand side:
5 x = 2 x - 12
Subtract 2 x from both sides:
5 x - 2 x = (2 x - 2 x) - 12
5 x - 2 x = 3 x:
3 x = (2 x - 2 x) - 12
2 x - 2 x = 0:
3 x = -12
Divide both sides of 3 x = -12 by 3:
(3 x)/3 = (-12)/3
3/3 = 1:
x = (-12)/3
The gcd of -12 and 3 is 3, so (-12)/3 = (3 (-4))/(3×1) = 3/3×-4 = -4:
Answer: x = -4
Answer:
In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.