Every hour at 12km/h I would go 12km. Simple.
The distance traveled in km is equal to 12 times how many hours you go.
If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.
A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.
Answer:
A) 56
B) 21
Step-by-step explanation:
A) The number of delegations possible is given by;
C(n,r) = n!/[(n - r)!(r!)]
In this question, n = 8 and r =3
Thus,
C(8,3) = 8!/[(8 - 3)!(3!)] = 56
B) Since a particular member must be in the delegation, the number of outcomes will now be;
C(n, r) - C(n-1,r)
Thus, we have;
C(8,3) - C(7,3)
= 56 - [7!/[(7 - 3)!(3!)]
= 56 - 35 = 21
Answer:
Domain: [-4, ∞]
Range: [-6, ∞]
Step-by-step explanation:
The domain is the set of the possible x values
The range is the set of the possible y values.
In the graph, we can see that the function cuts in a given part. We can see that for the x-values, the smallest one is x = -4, and then the function extends to the right (we see no limit at the right, then there is none)
This means that the domain is:
D: [-4, ∞]
For the y-values, the smallest value is when x = -4, and the y-value is -6
Then we can see that, as x increases, the same happens for y.
Then the range is:
R: [-6, ∞]
3. 140= 3x +x
140= 4x
140/4 = 4x/4
35=x
3x= 35 * 3
3x= 105
The length is 105 ft
4. Number of dimes= d and number of quarters=q
d+q= 27
10d + 25q= 405
d= 27-q
10(27 -q) +25 q= 405
270 -10q + 25q= 405
270 + 15q= 405
15q= 135
q=9
d + q= 27
d +9=27
d=18
She has 18 dimes
5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon
Answer:
4 and 13
Step-by-step explanation:
You want integer solutions to ...
15 ≤ n(n+1) ≤ 200
If we let the limits be represented by "a", then the equality is represented by ...
n² +n -a = 0
(n² +n +1/4) -a -1/4 = 0
(n +1/2)^2 = (a +1/4)
n = -1/2 + √(a +1/4)
For a=15, we have
n ≥ -1/2 + √15.25 ≈ 3.4 . . . . . minimum n is 4
For a=200, we have
n ≤ -1/2 + √200.25 ≈ 13.7 . . . maximum n is 13
The least and greatest integers on the cards are 4 and 13.
