Answer:
Step-by-step explanation:
The first one
If there is 10% of $18 = 18 x 0.9 (1 - 0.1) = $16.20
Therefore the pie costs $16.20
He is saving 18 - 16.20 = $1.80
Answer:
x = 8, y = 27
Step-by-step explanation:
Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.
Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.
(2y + 24) + (3y + 21) = 180
That's the same as 2y + 24 + 3y + 21 = 180
Simplify to 5y + 45 = 180
Subtract 45 from both sides
5y = 135
y = 27
(16x - 26) + (9x + 6) = 180
16x - 26 + 9x + 6 = 180
25x - 20 = 180
25x = 200
x = 8
Answer: x = 1, y = - 5
Step-by-step explanation:
The given system of linear equations is expressed as
x - 2y = 11- - - - - - - - - - - - -1
- x + 6y = - 31- - - - - - - - - - - -2
We would eliminate x by adding equation 1 to equation 2. It becomes
- 2y + 6y = 11 - 31
4y = - 20
Dividing the the left hand side and the right hand side of the equation by 4, it becomes
4y/4 = - 20/4
y = - 5
Substituting y = - 5 into equation 1, it becomes
x - 2 × - 5 = 11
x + 10 = 11
Subtracting 10 from the left hand side and the right hand side of the equation, it becomes
x + 10 - 10 = 11 - 10
x = 1