In this item, it is not given that there has to be specific arrangement or order as to how the questions are going to be answered. Hence, the concept that can be used in order to answer this item is the concept of combination which states that,
nCr = n! / (r!)(n - r)!
This is read as "combination of n taken r". In this item, n = 10 and r = 4. Substituting the known vaues to the equation,
10C4 = (10!) / (4!)(10 - 4)!
10C4 = 210
Therefore, the number of which is which the questions can be answered is 210.
Answer: The linear system of equations that models this scenario are
T + B = 15
3T + 2B = 38
Step-by-step explanation:
Let T represent the number of tricycles.
Let B represents the number of bicycles ordered.
The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as
T + B = 15
A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be
3T + 2B = 38
Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram
Elena spent
45min+30min+20min= 95 min
95 min is 1 h and 35 min
she arrived at home at 4:10
Elena left at 2:35 pm
Answer:
1.0 - 0.6 = 0.4 (1.0 and 0.6)
OR
12.6 - 12.2 = 0.4 (12.6 and 12.2)