Answer:
80 blue
Step-by-step explanation:
r=red
b=blue
4b+2r=6 lights in one light cluster
120/6=20 clusters
20 clusters of 4 blue lights =80
A perfect fifth above a note has a frequency ratio of 3 to 2.
Therefore, we can set the proportion:
164.81 : x = 2 : 3
which gives:
x = <span>164.81 </span>× 3 ÷ 2
= 247.21
Hence, the perfect fifth above E₃ will have a frequency of 247.21Hz which corresponds to a B₃.
The total if all 236 coins were nickels would be $11.80, which is $3.95 short of the actual amount.
Replacing a nickel with a dime adds $0.05 to the total value, so there must have been $3.95/$0.05 = 79 such replacements.
There are 79 dimes.
There are 236 -79 = 157 nickels.
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Using the given variables, the problem statement gives rise to two equations. One is the based on the number of coins. The other is based on their value.
- n + d = 236
- .05n +.10d = 15.75
Solving the first for n, we get
... n = 236 - d
Substituting that into the second equation, we have
... .05(236 -d) +.10d = 15.75
... .05d = 15.75 -236·.05 . . . . . collect terms, subtract .05·236
... d = 3.95/.05 . . . . . . . . . . . . . divide by .05
... d = 79
... n = 236-79 = 157
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The solution should look familiar, as it matches the verbal description at the beginning.
0.25r - 0.125 + 0.5r = 0.5 + r
Step 1: Move all similar terms (r) to the same side of the equation by
subtracting "r" from each side of the equation
0.25r - 0.125 + 0.5r - r = 0.5
Move terms without r to the other side of the equation, by adding +0.125 to each side of the equation
0.25r + 0.5r - r = 0.5 + 0.125
Add similar terms, note that r is equal to 1r
0.75r - 1r = 0.625
-0.25r = 0.625
Solve for r by dividing both sides of the equation by -0.25
r= 0.625/(-0.25)
r=-2.5
Answer:1/2
Step-by-step explanation:
