Answer:
x is 100 and y is 40
Step-by-step explanation:
First make 500 into a number where it can be divisable by 3. 5x40=200
500-200=300, 300 divided by 3 equals 100
x=100
y=40
The number of terms in the geometric series is 9
<h3>How to determine the number of terms in the series?</h3>
The geometric series given as:
96 - 48 + 24 -....,-3/8 .
Calculate the common ratio (r) as follows
r = T2/T1
Substitute the known values in the above equation
r = -48/96
Evaluate
r = -0.5
The number of terms is then calculated as:
Tn = a * r^n-1
Let n = 9
So, we have:
T9 = a * r^9
Substitute the known values in the above equation
T9 = 96 * (-0.5)^8
Evaluate the product
T9 = -3/8
Hence, the number of terms in the geometric series is 9
Read more about geometric series at
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Answer:
x = - 22, x = 4
Step-by-step explanation:
Given
(x + 9)² = 169 ( take the square root of both sides )
x + 9 = ±
= ± 13 ( subtract 9 from both sides )
x = - 9 ± 13
Thus
x = - 9 - 13 = - 22
x = - 9 + 13 = 4
Answer:
60
Step-by-step explanation:
There are 2+5 = 7 ratio units of students. If we multiply the numbers by 5, we can have a total of 35 ratio units of students: 10 : 25.
Now, we can substitute this into the ratio of teachers to students:
teachers : students = 3 : 35
teachers : (male students : female students) = 3 : (10 : 25)
Then the number of teachers is seen to be 3/25 of the number of female students:
(3/25)(500) = 60 . . . teachers
Answer:
W = P/2 - L
Step-by-step explanation:
WE need to make W the subject of
P = 2L + 2W
2W = P - 2L
W = ( P - 2L) / 2
or W = P/2 - L