1) This is a combination, so use ⁴⁰C₂.
⁴⁰C₂ = 780
There are 780 handshakes in total.
2) I got my solution by using the combinations formula. Or another way you could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1. You will end up with 780 (I did this to double check my work).
3) The quickest way to figure this out if Drake invited 1,000 people is to use the natural numbers formula = n(n+ 1)/2.
Plug the numbers in: 999(1000)/2 = 499,500
If Drake invited 1,000 people, there would be 499,500 handshakes.
Answer:
Suppose a crew at an unloading dock can unload 3 trucks per hour and have already unloaded 17 trucks. Which equation can be used to model the number of trucks the crew unloads after h hours?
A. y = 3h = 17
B. y = 3h + 17
C. y = 17h – 3
<u>D. y = 17h + 3</u>
Step-by-step explanation:
Answer:
8.75
Step-by-step explanation:
Hello There!
145 is 23.39% of 620
<u><em>HOW TO SOLVE</em></u>
<u><em></em></u>
<u><em>Equation: Y = P% * X</em></u>
<u><em>We need to solve our equation for "P"</em></u>
<u><em>P% = Y/X</em></u>
<u><em>P% = 145/620</em></u>
<u><em>p = 0.2339</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>Convert decimal to percent:</em></u>
<u><em>Percent = 0.2339 * 100 = 23.39%</em></u>
Y = 2x - 17, comparing to y = mx + c, slope m = 2.
If perpendicular, the new slope would be -1/2, that is the negative reciprocal of 2.
And passing through (-8 , 1).
using y = mx + c, and x = -8, y = 1, m = -1/2
1 = -1/2*-8 + c
1 = 4 + c
1 - 4 = c
c = -3
y = mx + c, substituting m = -1/2, and c = -3, y = -(1/2)x - 3.
Option C.
