Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Answer:
x=12/17
Step-by-step explanation:
hope this helps
Answer:
You have to take square root of -81
Step-by-step explanation:
It does not have a solution because you'd have to take the square root of -81
Answer:
D or B i think
Step-by-step explanation:
3a + 2c = 275 .... t-shirt costs $3 per adult and $2 per child and <span>total money collected was $275
</span>
a + c = 100 ... the total number of adults (a) and children (c) who bought shirts was 100
so
3a + 2c = 275
a + c = 100 so a = 100 - c
substitute a = 100 - c into 3a + 2c = 275
3a + 2c = 275
3(100 - c) + 2c = 275
300 - 3c + 2c = 275
-c = - 25
c = 25
a = 100 -c = 100 - 25 = 75
so a = 75 (adults) and c = 25 (children)
answer
<span>Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
25 children and 75 adults</span>
