Answer:
$57.93
Step-by-step explanation:
14 x 12 = 168
168/2.9
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
Answer:
This system of equations has infinite points of intersection
Step-by-step explanation:
* To know the point of intersection of the system of equations,
you will solve the graphically or algebraically
- Graphically by drawing two lines on the coordinate plane
- Algebraically by substitution method or elimination method
* Lets use the substitution method
∵ y = 4 - x
∵ 2y = 8 - 2x
- Substitute y in the second equation by its value in the
first equation
∴ 2(4 - x) = 8 - 2x ⇒ open the bracket
∴ 8 - 2x = 8 - 2x
* The two sides equal each other, that means we can use any
vales of x, and on the graph they will be the same line for
the two equations
∴ This system of equations has infinite points of intersection
The product a number with its square is equal to 8. Find the number.
Answer:
the number is 2
Step-by-step explanation:
Let us assume the number to x.
So, according to the equation:
![\textrm{x}\times\textrm{x}^{2}=8\\ \textrm{x}^{3}=8\\ \textrm{x}=\sqrt[3]{8}\\ \therefore \textrm{x}=2](https://tex.z-dn.net/?f=%5Ctextrm%7Bx%7D%5Ctimes%5Ctextrm%7Bx%7D%5E%7B2%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%5E%7B3%7D%3D8%5C%5C%20%5Ctextrm%7Bx%7D%3D%5Csqrt%5B3%5D%7B8%7D%5C%5C%20%5Ctherefore%20%5Ctextrm%7Bx%7D%3D2)
Answer:
(-3,-6)
Step-by-step explanation:
