Answer:
The profit is 20 cents per pastry
Step-by-step explanation:
If you would like to convert 29/5 to a mixed number, you can do this using the following steps:
29/5 = 5 4/5
The correct result would be 5 4/5.
Answer:
Equation 1: 7x + 2y = 12.8
Equation 2: 6x + 3y = 12
Cost of 1 apple: $1.60
Cost of 1 orange: $0.80
Cost of 1 orange: $Step-by-step explanation:
Let's use the elimination method to solve this
Multiply equation 1 by 3
(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4
Multiply equation 2 by -2
(6x + 3y = 12) x -2 = -12x - 6y = -24
The x terms will cancel each other out
21x + 6y = 38.4
-12x - 6y = -24
9x = 14.4
Divide by sides by 9 to isolate the x variable
9x/9 = 14.4/9
x = 1.6
This means an apple costs $1.60
Plug the new x into one of the original equations to find y; we'll use equation 1
7(1.6) + 2y = 12.8
11.2 + 2y = 12.8
Subtract 11.2 from both sides
11.2 + 2y = 12.8
- 11.2 - 11.2
2y = 1.6
Divide both sides by 2
2y/2 = 1.6/2
y = 0.8
This means an orange costs $0.80
Answer:
∠YXZ = 58°
Step-by-step explanation:
Use the angle sum theorem and the given relations.
∠WXY +∠WXV = ∠YXV
∠WXY +(11° +3∠WXY) = 139°
4∠WXY = 128° . . . . . subtract 11°
∠WXY = 32° . . . . . . . divide by 4
Similarly, ...
∠WXY +∠YXZ = 90°
∠YXZ = 90° -∠WXY = 90° -32°
∠YXZ = 58°
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
