<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
Answer: price of the watch before the discount is £23.5825
Step-by-step explanation:
Let x represent the original price of the watch.
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55. This price includes 15% loyalty discount. The value of the discount is
15/100 × 53.55 = 8.0325
This means that the original cost of both items is
53.55 + 8.0325 = 61.5825
Before the discounts, the trainers were priced at £38. Therefore,
38 + x = 61.5825
x = 61.5825 - 38
x = 23.5825
Answer:
percentage of professional professor are 75
Step-by-step explanation:
Given data
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
to find out
what percent of the professional professors
solution
we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40
because here
total = A + P - both
90 = 60 + 70 - both
both = 40
so professors tenured will be here 70 - 40 = 30
so
percentage of professional professor are = 30 / 40 × 100
percentage of professional professor are 75
Answer:
7%
Step-by-step explanation:
Since percentages are out of 100. (Cent=100) Therefore 7/100 is 7%.
Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)
