So we are simply adding them
we will set the denominator equal by multiplying both the numerator and denominator
then just adding the numerator while keeping the denominator. look at my work. so your answer is 5/8
Answer: Width of box is not taken up by pencils = 
Width of each pencil 
Step-by-step explanation:
Given: Width of pencil box = 
Width of seven pencils = 
Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils
Width of box is not taken up by pencils =
Width of each pencil = (Width of seven pencils ) ÷ 7
Width of each pencil
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
Answer:
see below
Step-by-step explanation:
As with many multiple-choice questions, the appropriate choices can often be determined with a simple test. Here, you only need to look at the values of the constants. (Those are ringed in blue.)
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
