Answer:
Step-by-step explanation:
Method 1: Calculate 40% discount on original price, then subtract discount from original price.
Amount of discount = 40% of $30
= 0.40 × $30
= $12
New price = $30 - $12 = $18
Method 2:
New price = (100% - discount percentage) of original price
= 60% of original price
= 0.60 × $30
= $18
Answer is A.
√6 + √2
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4
Answer:
(1,-1)
Step-by-step explanation:
The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.
That is also known as the intersecting points.
The top-right part is known as the 1st Quadrant in a coordinate system.
Top-left is 2nd Quadrant.
Bottom left is 3rd Quadrant.
Bottom right is 4th Quadrant.
The values of x and y (positive or negative) of each quadrant is shown below:
- Quadrant 1: x +ve, y +ve
- Quadrant 2: x -ve, y +ve
- Quadrant 3: x -ve, y -ve
- Quadrant 4: x +ve, y -ve
The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.
From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.
Answer:
7) x + 0.09x, where x is the price of the car
8) x + 0.05x where x is the price of clothing
9) It will take michael about 9.14 minutes to eat 32 cookies.
Step-by-step explanation:
7) 9% of x is the same as 0.09x, so you can write this:
x + 0.09x, where x is the price of the car
8) same thing for this one
x + 0.05x where x is the price of clothing
9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or 
Because he will be eating them at the same pace, you can write an equation and solve for the variable:
= 
cross multiply the proportion:
21 × y = 32 × 6
solve:
21y = 192
y ≈ 9.14
It will take michael about 9.14 minutes to eat 32 cookies.
This works because they both simplify to 3.5 cookies per minute
= 3.5
= 3.5
Answer:
There were 11,752 tickets sold in April.
Step-by-step explanation:
5,876 x 2 = 11,752