Q = The Ammount Of Cranberry Juice
(q+4)*4.50=q*6.30+4*3.60
4.5*q+18=6.30*q+14.4
6.30*q-4.5*q=18-14.4
1.8*q=3.6
q=3.6/1.8
It Would Be 2 Quarts Of Cranberry Juice
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
Correct!
Answer: Polygon Q's area is 1/4 of Polygon P's area
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Explanation:
Imagine we had a square with side length 8. The area of this square is 8*8 = 64.
Now let's reduce each side of the square by the scale factor 1/2. So each new side is 8*(1/2) = 4. The area of this smaller square is 4*4 = 16.
Comparing the new area (16) to the old one (64), we see that the new area is 16/64 = 1/4 of the old area.
In other words,
new smaller area = (1/4)*(old larger area)
So this is one example to see why (1/2)*(1/2) = 1/4 is the area scale factor based on the linear scale factor of 1/2. In short, (1/2)^2 = 1/4. Whatever the original scale factor is, square it and you'll get the area scale factor.
Answer: 271
Step-by-step explanation:
The formula we use to find the sample size is given by :-
, where 
is the two-tailed z-value for significance level of 
p = prior estimation of the proportion
E = Margin of error.
If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes
Given : Margin of error : E= 0.05
Confidence level = 90%
Significance level 
Using z-value table , Two-tailed z-value for significance level of 
Then, the required sample size would be :
Simplify,
Hence, the required minimum sample size =271
Answer:
25.800
Step-by-step explanation:
6 persecnt of 429.95 is 25.800 rounded if you need it where i subtract it from the total its 404.150 or 404.15
