Answer:
Let x = total number of apples picked by the prince
x=44
Step-by-step explanation:
1st troll payment
x-(0.5x+2)
x-0.5x-2
0.5x-2 (that is the amount of apples left after 1st troll payment)
2nd troll payment
(0.5x-2)-(0.5(0.5x-2)+2)
Simplifying,
(0.5x-2)-(0.25x-1+2)
(0.5x-2)-(0.25x+1)
0.5x-2-0.25x-1
0.25x-3 (apples remaining after 2nd troll payment)
3rd troll payment
(0.25x-3)-(0.5(0.25x-3)+2)=2
(0.25x-3)-(0.125x-1.5+2)=2
(0.25x-3)-(0.125x+0.5)=2
0.25x-3- 0.125x-0.5=2
0.125x-3.5=2
0.125x =2+3.5
0.125x=5.5
x=5.5/0.125 (divide both sides by 0.125)
=44 apples
Therefore total number of apples picked by the prince, x=44
Answer:
I'm pretty sure the answer is 45 ft
Step-by-step explanation:
The string is out at all 80 feet, and is 35 feet away from a stop sign. Then wouldn't 80-35=45?
Answer:
[(2)^√3]^√3 = 8
Step-by-step explanation:
Hi there!
Let´s write the expression:
[(2)^√3]^√3
Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):
[(2)^(3^1/2)]^(3^1/2)
Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:
(2)^(3^1/2 · 3^1/2)
Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ
(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8
Then the expression can be written as:
[(2)^√3]^√3 = 8
Have a nice day!
Answer:
b = 8
Step-by-step explanation:
Use the Pythagorean theorem
c^2 = a^2 + b^2
c = 10
a = 6
b = ?
Substitute into the formula
10^2 = 6^2 + b^2
100 = 36 + b^2 Subtract 36 from both sides
100 - 36 = b^2 Combine
64 = b^2 Take the square root of both sides.
√64 = √b^2
b = 8
