Answer:
l=6
b=30
Step-by-step explanation:
b=5l
perimeter= 72
2(l+b)= 72
l+b= 36
l+5l= 36
6l= 36
l= 6
b=5l= 6*6= 30
Answer:
Step-by-step explanation:
Let x represent the number of pounds of soap that she makes and eventually sells.
She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. This means that the total cost of making x pounds of soap would be
7x + 72
Lisa sells the soap for $10 per pound. This means that her revenue for x pounds of soap would be
10 × x = 10x
If she eventually sells enough soap to cover the cost of the equipment, then
7x + 72 = 10x
10x - 7x = 72
3x = 72
x = 72/3 = 24
She would need to sell make and sell 24 soaps.
The cost would be
72 + 7 × 24 = $240
The total sales would be
10 × 24 = $240
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
