If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.
ratio=3/8
we have 40 blue marbles; we have to compute the number of red marbles.
1) Method 1; by the rule three.
3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles
x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.
answer: B. 15
Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8
if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.
number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15
Answer: B.15
Step-by-step explanation:
I just answered this ...
the first thing we notice : the quadrilateral has 2 pairs of equally long sides with 2 angles being openly 90°.
so, we are dealing with a rectangle here.
we know that one pair of the sides (NK = LM) are 24 cm long.
and we know that KL:LM = 3:4.
that means that the pair KL = MN are the shorter sides of the rectangle. and their length is according to the ratio 3/4 of NK=LM.
3/4 × 24 = 18 cm
the area of that rectangle is therefore
18 × 24 = 432 cm²
We have that
<span>f(x) = (3/2)*x + 4
case 1) for x=-8</span>f(-8) = (3/2)*(-8) + 4--------> -8
point (-8,-8)
case 2) for x=-4f(-4) = (3/2)*(-4) + 4--------> -2
point (-4,-2)
case 3) for x=-2f(-2) = (3/2)*(-2) + 4--------> 1
point (-2,1)
case 4) for x=0f(0) = (3/2)*(0) + 4--------> 4
point (0,4)
case 5) for x=2f(2) = (3/2)*(2) + 4--------> 7
point (2,7)
case 6) for x=4f(4) = (3/2)*(4) + 4--------> 10
point (4,10)
using a graph tool
see the attached figure