Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18
Answer:
47 is your answer
Step-by-step explanation:
Answer:
5/4
Step-by-step explanation:
(10/12) / (4/6)
Reduce the fractions:
(5/6) / (2/3)
Multiply by the reciprocal:
(5/6) × (3/2)
15/12
Reduce:
5/4
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.
Please see the attached picture for the work.
51 minutes is the longer time.
34 minutes for the other machine.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following information:
First three hours of typhoon: rate of Rainfall. = 25mm per hour
Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours
Piecewise function which models Rainfall ad a function of time
Amount of Rainfall as a function of time = f(t)
f(t) = 25t ; if t≤ 3
When typhoon slowed down for an hour :
f(t) = 0;
f(t) = 25*3 ; for t ∈ (3, 4)
Then Rainfall at a constant rate of 20mm for another 2 hours
f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)