she can purchase 6 hotdogs
I can't see the next photo but I'm assuming that's what you're asking
You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.
That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.
That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1
(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520
Answer: 77,520
Answer:
3 hours or 180 minutes
Step-by-step explanation:
This one should be an easy one
First, lets convert everything to units
35 + (1 hour and 10 minutes or 70 minutes) + (1 hour and 15 minutes or 75 minutes) = 35 + 70 + 75 = 180 minutes, or 3 hours.
Hope it helps :)
Answer:
D
Step-by-step explanation:
So we have the equation:

And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:

Divide the b term by 2 and square it:

So, add 9 to both sides:

On the left, the perfect square trinomial pattern. Add on the right. So:

Take the square root of both sides:

The square root of -49 is 7i:

Add 3 to both sides:

So, our answer is D.
And we're done!