Answer:
There are 12 male teachers.
Step-by-step explanation:
Ratio of male teachers to female teachers in a school is 1 to 5.
For every 1 male teacher, there is one female teacher.
There are 60 female teachers.
Divide 60 by 5 = 12.
12 times 1 = 12
There are 12 male teachers.
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that

Putting
, we get



Therefore, the measure of angle RQP is 33 degrees.
Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
Answer:
C) At most one sample is mutated
Step-by-step explanation:
If there are 15 samples, it means that 15 is the total (100%) of samples. Then, if we know that there is a chance that 3% are mutated, then we calculate the 3% of 15:

This means that at most one sample is mutated, as this result is not zero (we discard answer A), and 0.45 is not more than half of the samples.
Answer:
70
Step-by-step explanation:
28 +24+18
=70
answer is 70