Answer:
Step-by-step explanation:
A={26,30,32,44,48}
B={22,26,34}
A∩B=26
number of elements=1
elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}
number of elements in ξ=14
P(A∩B)=1/14
I can't draw venn diagram but i give hint
A={30,32,44,48}+{26}
B={22,34}+{26}
A∩B={26}
Knowing that x varies directly with y, we know the basic skeleton of the equation is
y = mx.
To find
m, plug in the known coordinate
(8,10), where the
x-coordinate is
8 and the
y-coordinate is
10.

Then, plug in m to the equation to get
y = (5/4)x.
Finally, plug in the y-coordinate
18 to the equation and solve for x!

Your exact answer is
x = 72/5. However, if your teacher prefers decimals, then
x = 14.4Hope this helps!
Answer:
s = 6, r = 8 or s = 4, r = 7
Step-by-step explanation:
2r - s = 10
2r = 10 + s
r = 5 + s/2 --(1)
rs - s^2 = 12 --(2)
sub (1) into (2):
(5 + s/2)s - s^2 = 12
5s + 0.5s^2 - s^2 = 12
-0.5s^2 + 5s - 12 = 0
s^2 - 10s + 24 = 0
(s - 6)(s - 4) = 0
therefore s = 6 or s = 4
when s = 6, r = 8 and when s = 4, r = 7
if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)