Answer: Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Step-by-step explanation:
Given: Hourly earning = $8.00
gas allowance per day = $3.50
Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)
Let h = number of hours
Pay per day = 8h +3.50
If Emily worked for 5 hours, then put h= 5, we get
Pay per day = 8(5) +3.50
= $ 40 +3.50
= $ 43.5
Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Answer: x = 16°
Step-by-step explanation:
- This is a right triangle, which means all angles add up to 180°.
- One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.
This means (x+26)° + 3x° = 90°.
Solve for x:
x + 26 + 3x = 90
x + 3x = 90 - 26
4x = 64
x = 64 ÷ 4 = 16°
Answer:
Net Area = 168
Step-by-step explanation:
See attachment for complete question
I'll make reference to the attachment, when needed.
The shapes that make up the net are labelled 1 to 5.
So, to calculate the surface area of the net, we simply calculate the surface area of each label.
Label 1: Rectangle
Area = Length * Width
Area = 10 * 5
Area = 50
Label 2: Rectangle
Area = Length * Width
Area = 8 * 5
Area = 40
Label 3: Rectangle
Area = Length * Width
Area = 6 * 5
Area = 30
Label 4: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
Label 5: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
So, the net area is the summation of the calculated areas of label 1 to 5
Net Area = 50 + 40 + 30 + 24 + 24
Net Area = 168
For this case we must solve the following equations:
We subtract 3x on both sides of the equation:
We subtract 7 on both sides of the equation:
We divide between 2 on both sides of the equation:
The second equation is:
We apply distributive property to the terms of parentheses:
We add common terms:
We add 10 to both sides of the equation:
We divide between 5 on both sides of the equation:
Third equation:
We apply distributive property to the terms within parentheses:
We add similar terms:
We subtract 6x on both sides of the equation:
We subtract 5 on both sides of the equation:
Answer: