Answer:
9
Step-by-step explanation:
-4(6x+3)= -12(x+10)
<u><em>Let's do the first part:</em></u>
-4(6x+3)
<em>**distribute**</em>
-4 x 6x = -24x; -4 x 3 = -12 ->>> -24x - 12
<u><em>Let's do the second part:</em></u>
-12(x+10)
<em>**distribute**</em>
-12 x x = -12x; -12 x 10 = -120 ->>> -12x -120
-24x -12 = -12x - 120
<em>**Move variable to the left-hand side and change its sign**</em>
-24x +12x -12 = -120
-12x - 12 = -120
-12x = 108
x = 108/-12
x=9
There are 4 cups in a quart.
So if Hudson has only a 1/4 measuring cup, this can be represented by the equation:
4/1/4, solving it we get: 4* 4 (dividing turns a fraction into its reciprocal)
So, 4*4=16
Hudson will have to fill the 1/4 measuring cup 16 times to get a quart.
I hope this helps!
Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
3/8 + 1/16= 7/16
so it's c. 7/16
