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Liula [17]
2 years ago
7

You have a coupon for 30% off your total order.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0

Answer:

you pay $69.74

Step-by-step explanation:

total cost without coupon: 15+65+14 = 94

apply the 30% discount ⇒ 94 × .30 = 28.20

subtract the savings ⇒ 94.00 - 28.20

total, after coupon, before tax ⇒ 65.80

apply 6% tax to 65.80  ⇒  65.8 × .06  ⇒ 3.94

add tax to cost after coupon ⇒  65.80 + 3.94

you pay $69.74

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The original price of water skis was $200. What is the percent of discount?
nikitadnepr [17]
You need to tell how many percent you will discount and then find the new price
3 0
3 years ago
A parabola intersects at x-axis at x= 2 and x= 6. What is the x-coordinate of the parabolas vertex?
charle [14.2K]

Answer:

  x = 4

Step-by-step explanation:

The vertex is on the line of symmetry. The zeros are located equidistant from the line of symmetry, which is ...

  x = (2 + 6)/2 = 4

The x-coordinate of the vertex is x=4.

8 0
3 years ago
Find the m∠DCA A. 10 B. 29 C. 116 D. 40
Blizzard [7]
DCA is 116 because x=29, when you plug 29 into x you get 116
5 0
3 years ago
Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​
Anika [276]

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

4 0
3 years ago
Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12
Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

\sf \longrightarrow 2y + 4x = 12 \\

\sf \longrightarrow 4x + 2y = 12

Firstly convert this into slope intercept form , to find out the slope of the line.

\sf \longrightarrow 2y = -4x +12\\

\sf \longrightarrow y =\dfrac{-4x+12}{2}\\

\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\

\sf \longrightarrow \red{ y = -2x + 6 }

Now on comparing it to slope intercept form which is y = mx + c , we have ,

  • m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

\sf \longrightarrow y - y_1 = m(x - x_1)

Now on substituting the respective values we have,

\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\

\sf \longrightarrow 2(y-1 )= x -8 \\

\sf \longrightarrow 2y -2=x-8\\

\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}

5 0
3 years ago
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