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mel-nik [20]
3 years ago
6

A store is having a sale during which all outdoor furniture is 45% off the original price, p. If the post-sale price of an outdo

or furniture set can be calculated using the expression p – 0.45p, which expression also represents the price?
A) 0.45p

B) 0.55p

C) 1 – 0.45p

D) p – 0.55⇒Δ
Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

p*0.55

Step-by-step explanation:

Step one:

given data

let the original price  be p

let the discounted sale be A

45% of the original price is given as

Step two:

A= p-0.45p

factor p out

A=p(1-0.45)

A= p*0.55

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The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.
natta225 [31]

Answer:

The expression which represent the length of the rectangle is x + 1

Step-by-step explanation:

Given as :

The Area of rectangle = x² - 6 x - 7  square meters

The width of the rectangle = w = x - 7 meters

Let The length of rectangle = L meters

Now, <u>According to question</u>

∵ Area of Rectangle = Length × width

or, x² - 6 x - 7  meters² = L meters × w meters

or, x² - 6 x - 7 = L × (x - 7)

or, x² - 7 x + x - 7 = L × (x - 7)

or, x (x - 7) + 1 (x - 7) = L × (x - 7)

or, (x - 7) (x + 1) = L × (x - 7)

∴ L = \frac{(x - 7)\times (x + 1)}{(x - 7)}

I,e L = x + 1

So, The length of rectangle = L = x + 1

Hence,The expression which represent the length of the rectangle is x + 1 Answer

8 0
3 years ago
-6(w - 4) + 8W=6(w + 2)​
Nesterboy [21]

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

7 0
3 years ago
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Faces of a rectangular prism and a cude
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There are 6 faces in a rectangular prism and cube*
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(-2,-11);slope=4 write the equation of the line
wolverine [178]

Answer:  y = 4x-3

slope = 4, y intercept = -3

=================================================

m = 4 is the slope

(x_1,y_1) = (-2,-11) is the point the line goes through

Using point slope form, we can say,

y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

3 0
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What is the equation of the following graph?
ser-zykov [4K]

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

7 0
3 years ago
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