This problem is asking us to make an algebraic equation or representation of the situation. First we have to assign the variables which is already given in the problem. H is the number of the home team and V is the visiting team. Since the problem states there are the home team has five times as manyfans as the visiting team, then it can be represented as:
H = 5V
Also, H + V = 52,000. H and V can then be solves by solving the 2 equations simultaneously. The results are 43,333 and 8,667.
The activity series is an arrangement of species in order of reactivity.
<h3>What is the activity series?</h3>
The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.
The following are the fates of these reactions;
- 2NaBr + I2--------->2NaI + Br2 - Not possible
- 2Fe + Al2O3 ----------> 2Al + Fe2O3 - Not possible
- 2AgNO3 + Ni ----------> Ni(NO3)2 + 2Ag - possible
- Pb + Zn(C2H3O2)2 ----------> Zn + Pb(C2H3O2)2 - Not possible
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Answer:
Part A: Kimberly
Part B:
Becca = 22.5 miles, Kimberly = 25 miles
Step-by-step explanation:
Part A:
Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.
Let x = time
y = distance
k = speed = y/x
Equation for each person can be written as: y = kx
Therefore:
✔️Equation for Becca if k = 4.5
y = 4.5x
✔️Find k (speed) of Kimberly using (2, 10):
Speed (k) = y/x
k = 10/2
k = 5 miles per hour
Equation for Kimberly would be:
y = 5x
Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.
Part B:
For Becca, substitute x = 5 into Becca's equation, y = 4.5x
Thus:
y = 4.5*5 = 22.5 miles
For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x
Thus:
y = 5*5 = 25 miles
Answer:
50
Step-by-step explanation:
70+60 =130
180-130 = 50 degrees