Given:
Latasha spends $3.35
Helen spends 4 times as much as Latasha.
Dee spends $7.50 more then Helen.
To find:
The amount Dee spends.
Solution:
It is given that, Latasha spends $3.35.
Helen spends 4 times as much as Latasha.
So, Helen spends = 4 × $3.35
= $13.40
Dee spends $7.50 more then Helen.
Dee spends = $13.40+$7.50
= $20.90
Therefore, dee spends $20.90.
A+b=15----(1)
a*b=54----(2)
(1) a=15-b ----(3)
put(3) in(2)
(15-b)*b=54
15b-b^2=54
b^2-15b+54=0
(b-9)(b-6)=0
so b=9 or b=6
if b=9 then a=15-9=6
if b=6 then a=15-6=9
answer two numbers are 6 and 9
Show that if p(a) ⊂ p(b) then a ⊂ b.
<span>I will assume p() means power set. </span>
<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.
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</span>
The answer to this question is 1/6