Two expressions that represent the sale price of the pillows are (p-0.05p) and 0.95p.
Step-by-step explanation:
Let,
Regular price of pillow = p
Mark down = 5% = 
Amount of mark down = 0.05p
Amount after mark down = Regular price - Mark down amount
Amount after mark down = p - 0.05p
Taking p common = p(1-0.05) = p(0.95) = 0.95p
Two expressions that represent the sale price of the pillows are (p-0.05p) and 0.95p.
Keywords: mark down, subtraction
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The estimate would be 1200.
We will set up a proportion for this. 10 out of 60 of the sample were tagged, so that is the first ratio. The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top). We do not know the total number so we use a variable:
10/60 = x/200
Cross multiply:
10*x = 60*200
10x = 12000
Divide both sides by 10:
10x/10 = 12000/10
x = 1200
Answer: It would be 4 trips with two people in the last trip up
Step-by-step explanation:
16+16+16=48
48+2=5
A) 5
Two sides of a triangle have to be the same size. IF we aren't talking about a scalene.
The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w.
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!