Answer:
$5.83 in taxes.
Step-by-step explanation:
Discounted price of pants: 23.50 × (1 - 0.3) = 16.45
Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875
Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875
2 pants, 3 shirts, and 1 hat: 16.45(2) + 12.1875(3) + 8.2875(1) = 77.75
Sales tax: 77.75 × 0.075 = 5.83125
Rounded to nearest cent: $5.83 in sales tax
Answer: 3944
All you have to do is multiply 58 x 68 to get the answer.
( hope this helped! )
Answer:
The number is 9.
Step-by-step explanation:
Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.
80 - 3x = 5x + 8
First, let's add 3x to both sides.
80 - 3x + 3x = 5x + 3x + 8
80 = 8x + 8
Next, let's subtract 8 from both sides.
80 - 8 = 8x + 8 - 8
72 = 8x
Finally, let's divide both sides by 8.
72/8 = 8x/8
9 = x
<em>"x" is 9.</em>
<em>So the secret number is 9.</em>
P.S.
This is my first answer to a Brainly question so please don't complain!
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have

square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
Hey! I’m not sure what you’re needing help on but if it’s an answer i’m pretty sure the answer would be - 180 (hx)