Answer:
So, the number of combinations is 57600.
Step-by-step explanation:
From Exercise we have
5 different history textbooks
4 different science textbooks
For the place in the middle we have 4 books so the number of combinations for that place is 4.
For the places at the end of the shelf I have 5 books, I need 2, so the number is a combination:
2· \frac{5!}{(5-2)!·2!}=2·10=20
For the 6 places on the shelf I have 6 books so the number is a combination 6!=720
So, the number of combinations is:
4·20·720=57600.
I think there is a lack of information with regards to the question posted above. This may be the complete question:
Van is 75% taller than Keith. If Van's height increases by 40% while Kieth's increases only by 25%, by what percent is Van taller than Kieth now?
We put Van at 175 and Kieth at 100 since Van is 75% taller than Keith.
When Kieth's height increased at 25%, he is now 125
When Van's height increased at 40%, he is now 245
245-125=120 and
<span><span><span>120/125</span>= .96 = 96%
The answer is 96%. I hope this helps.</span></span>
Answer:
Heather served 10 orders.
Felipe served 30 orders.
Jim served 50 orders.
What we know:
<u>Let's refer to each person by their first initial (H, J, & F)</u>
H + J + F = 90
F = 3 * H
J = 5 * H
Substitution:
<u>Let's replace F and J by their equivalents in relation to H (basically making the entire left side only H)</u>
H + (5 * H) + (3 * H) = 90
H + (5H) + (3H) = 90
9H = 90
H = 90/9
H = 10
Final Calculations
<u>Now that we know how many orders Heather served, we can calculate how many Jim and Felipe served</u>
F = 3 * H
F = 3 * 10
F = 30
J = 5 * H
J = 5 * 10
J = 50
Answer: Measure the angle of each slice of the pie chart and divide by 360 degrees. Now multiply the value by 100.
Step-by-step explanation: