Answer:
3/5
Step-by-step explanation:
Given
Number of women in the math class = 7
Number of men = 9
Total = 9 + 7 = 15
Probability of selecting a man at random to come to the board and show solution to a math problem
= number of men/total number of persons in the class
That’s
9/15
Divide both the numerator and denominator by 3
3/5
The probability of picking a man student is 3/5
Answer:
xy = 1
k = 79
Step-by-step explanation:
Question One
The first and third frames look to me to be the same. I'll treat them that way.
y = x^2 Equate y = x^2 to the result of 2y + 6 = 2x + 6
2y + 6 = 2(x + 3) Remove the brackets
2y + 6 = 2x + 6 Subtract 6 from both sides
2y = 2x Divide by 2
y = x
Now solve these two equations.
so x^2 = x
x > 0
1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is
x(x) = x Divide both sides by x
x = 1
y = x^2 Put x = 1 into x^2
y = 1^2 Solve
y = 1
The second solution is
(1,1)
xy = 1*1
xy = 1
Answer: A
Question Two
square root(k + 2) - x = 0
Subtract x from both sides
sqrt(k + 2) = x Square both sides
k + 2 = x^2 Let x = 9
k + 2 = 9^2 Square 9
k + 2 = 81
k = 81 - 2
k = 79
Add both the known values of plants together
1/3 + 2/5
Cross multiply to add the fractions together
This leaves with 11/15
This means the remaining vegetables cover 4/15s of the farmers land
This means that 10 acres is 4/15 of the farmers total land.
Divide 10 acres by 4/15 to find the total land of the farmer
This means the farmers total land is an area of 37.5 acres
