Step-by-step explanation:
so first convert it into an algebraic equation
4 - ⅛w = 16
⅛w = 16-4
⅛w = 12
w=12÷ ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
w=12×8=96
check: 4 - ⅛(96)=4-12=-8
-8<16 (-8 less than 16)
please mark brainliest
The mean is the average of a set of numbers.
So if the remaining 40% of students score 100 points, and the 60% score like 50 points, then the mean would still be 70 points because of the 40% of students that scored super high.
So yes, it can be true.
Answer:
im not sure
Step-by-step explanation:
im noy sure
X = number of days it would take Kate to paint the house by herself. .
<span>x+5 = number of days it would take Jean to paint the house by herself.</span>
<span>Together, they paint the house in 6 days: </span>
<span>1/x + 1/(x+5) = 1/6 </span>
<span>Multiply both sides by 6x(x+5) </span>
<span>6(x+5) + 6x = x(x+5) </span>
<span>12x + 30 = x^2 + 5x </span>
<span>x^2 − 7x − 30 = 0
</span>therefore the answer is A.
Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
![2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}](https://tex.z-dn.net/?f=2%5Ccos%20%5Cleft%28x%5Cright%29-1%3D0%2C%5C%5C2%5Ccos%20%5Cleft%28x%5Cright%29%3D1%2C%5C%5C%5Ccos%20%5Cleft%28x%5Cright%29%3D%5Cfrac%7B1%7D%7B2%7D)
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
![\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5C%3A2%5Csin%20%5Cleft%28x%5Cright%29%2B%5Csqrt%7B3%7D%3D0%2C%5C%5C2%5Csin%20%5Cleft%28x%5Cright%29%3D-%5Csqrt%7B3%7D%2C%5C%5C%5Csin%20%5Cleft%28x%5Cright%29%3D-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.