Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
1.83
Step-by-step explanation:
First, add the game and glasses. Write down the number you just got. Now, multiply by 0.15.
Take the second away from the first.
Now multiply that by 0.087
Finally, take 20 away
That is how much money you have spent.
Use both savings so they both get a huge meal.
Answer:
Step-by-step explanation:
a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.
Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.
The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 112
Vertex = - - 112/32= 3.5
So the rocket will attain maximum height at 3.5 seconds.
It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds
= 7 seconds to hit the ground.
b) to find time it will take to be 100 feet above the ground,
-16t^2+112t-95 = 0
Using general quadratic equation formula,
a = -16
b = 112
c = -95
t = [-b+/-√b^2-4ac]/2a
t = [ -112 +/-√112^2-4×-16×-95]/16 × -2
= [-112 +/-√12544-6080]/-32
= (-112+80.4)/-32 or (-112-80.4)/-32
t = 0.9875 or t = 6.0125
So it will take 0.9875 or approximately 1 second to be 100 feet above the ground
Answer: the answer is 180 
Step-by-step explanation:
Area of a rectangle multiply length times base. 15 x 12 = 180. Hope this helps!
