Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
It’s c you add the exponents
The answer would be 5x+5y
Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters
Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters
Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters
Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
