Answer:
Reyna Puti sold = 20 bottles
Step-by-step explanation:
Silver duck = Php 10 per bottle
Reyna Puti = Php 15 per bottle
Silver duck sold = 30 bottles
Reyna Puti sold = x bottles
Total sales = Php 600.00
Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold
600 = 10 * 30 + 15 * x
600 = 300 + 15x
600 - 300 = 15x
300 = 15x
x = 300/15
x = 20 bottles
Reyna Puti sold = 20 bottles
Answer:
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The longest possible altitude of the third altitude (if it is a positive integer) is 83.
According to statement
Let h is the length of third altitude
Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.
From Area of triangle
A = 1/2*B*H
Substitute the values in it
A = 1/2*a*12
a = 2A / 12 -(1)
Then
A = 1/2*b*14
b = 2A / 14 -(2)
Then
A = 1/2*c*h
c = 2A / h -(3)
Now, we will use the triangle inequalities:
2A/12 < 2A/14 + 2A/h
Solve it and get
h<84
2A/14 < 2A/12 + 2A/h
Solve it and get
h > -84
2A/h < 2A/12 + 2A/14
Solve it and get
h > 6.46
From all the three inequalities we get:
6.46<h<84
So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.
Learn more about TRIANGLE here brainly.com/question/2217700
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Answer:
Brand B is better
Step-by-step explanation:
Brand A's unit price is $0.24
Brand B's unit price is $0.21
Step-by-step explanation:
Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.
A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02
=P(|z|<1) (since 1 std dev on either side of the mean)
=2(0.3418)
=0.6826
=68.26%
The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is
=P(1<z<2) (since between 1 and 2 std dev from the mean)
=0.475-0.3418
=0.3332
=33.32%
