Answer:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
10x-10 = 60 +4x+2
Combine like terms
10x-10 = 62+4x
Subtract 4x from each side
10x-4x -10 = 62 +4x-4x
6x -10 = 62
Add 10 to each side
6x-10+10 = 62+10
6x= 72
Divide by 6
6x/6 = 72/6
x = 12
a) We have that the discount is 65 %
Scott buys a jacket for $150
First, we will calculate the discount

then we need to subtract the quantity calculated above from the original price

After the markdown Scott paid $52.5
b.
In order to know the taxes first, we need to calculate the 5% of $52.5

then we will sum the 5% plus the price after the markdown

The total cost of the jacket is $55.125
Answer:
-4,-4
Step-by-step explanation:

As you've got 15%, the best thing to do is to find 10%, then multiply it by 1.5. Once you've found the tip, you add this onto the cost of the meal.
Therefore, the total cost of $25 meal with a 15% tip is $28.75
Hope this helps :)