Answer: a is the # of elements in A but NOT B, that is A ONLY
b is the # of elements in B but NOT A, that is B only
N is the # of elements in the INTERSECTION of A and B
a + N = 99
b + N = 25
a + b + N = 123
Subtracting the first two equations: a - b = 74
Subtracting the last two equations: -a = -98
a = 98
So then a - b = 74 and a = 98
98 - b = 74
-b = -24
b = 24
a = 98, b = 24 and a + b + N = 123
98 + 24 + N = 123
122 + N = 123
N = 1
98 are in A only
24 are in B only , which is the answer to the question
1 is in both A and B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the relation between the total number of candies (y) and number of bags (x) is,
y = mx + b
Here, b = Extra pieces of candies sitting outside the box.
m = Candies per box
From the question,
x = 4,(Number of bags are 4)
y = 4m + 4
If total number of candies are 36,
36 = 4m + 4
4m = 32
m = 8
Each bag will contain 8 candies.
Therefore, equation representing the relation is,
y = 8x + 4
Now complete the table by substituting the values of x,
x y
1 12
2 20
3 28
4 36
5 44
6 52
7 60
8 68
9 76
10 84
8 percent of 20
=0.08 x 20
=1.6
9514 1404 393
Answer:
A. yes
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other.
The diagonals of a parallelogram bisect each other. If they are also congruent, then the parallelogram is a rectangle.
Answer:
<em>15 people</em>
Step-by-step explanation:
since Raul and his friends each weigh 1/20 ton,
and the total weight reads 3/4 ton
The total number pf people on the scale will be:
<em>The total weight of Raul and his friends divided by their individual weight</em>
==> (3/4 ton) ÷ (1/20 ton)
= 3/4 X 20/1 = <em>15 people</em>
