Hb=3.5, hd=2.25, hb+hd=7,
From the third, we can say hb=7-hd and we are told that:
3.5hb+2.25hd=19.5 using hb found above in this equation gives you:
3.5(7-hd)+2.25hd=19.5
24.5-3.5hd+2.25hd=19.5
-1.25hd=-5
hd=4
Carmen bought 4 hotdogs.
Answer:
A∪B = { The Real numbers }
Step-by-step explanation:
Given:
Let A = {the Rationals} and B = {the Irrationals}.
Find
A∪B.
Solution :
AUB means collection all the element of A and all the element of B.
element of A = Rational number and
element of B = Irrational number
Real number : All the including rational and irrational numbers are called as real number.
∴ A∪B = { The Real numbers }
Answer:
9 Litre of 100% acid, 27 Litre of 20% acid solution
Step-by-step explanation:
We know that 1 = 100% while
0.2 = 20%
We assume that x is volume of 100% solution, while y is volume of 20% solution.
x + 0.2y = (36×40/100)
x+0.2y= 14.4--------eqn(1)
x+y=36-------eqn(2)
x=36-y------eqn(3)
Input eqn(2) into 1 we have
(36-y)+0.2y= 14.4
-y+0.2y=14.4-36
-0.8y= 21.6
y=21.6/0.8
y=27
Hence, 27 Litre of 20% acid is required
From eqn(3) we can find value of x
x = 36-27
9 Litre of 100% acid is required
9 Litre of 100% acid, 27 Litre of 20% acid
Hence, the laboratory technician can combine a batch of 9 Litre of 100% acid, 27 Litre of 20% acid an acid solution that is pure acid with another that is 20% to get the desired concentration
50,000 ÷ 250 = 200
This means that there are 200 seats in each section.
Given that the dimensions of the wall are length = l = 18 ft and breadth = b = 12 ft.
Then the area of the wall is
A = l x b
On putting the values we have
A = 12 x 18 sq ft = 216 sq ft
Hence, the insulation will be needed of 216 sq ft.