Sale price = $450
original price = 25%y
dicount = +20%
solution = $450 × 45%
= $202.5
= $652.5
i am a mathematics teacher. if anything to ask please pm me
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Answer:
51. A/P = (2.2t +25)/(2.6t +29)
52. A/P for t=0 is about 0.862
A/P for t=4 is about 0.858
Step-by-step explanation:
51. The ratio of the two given functions is ...
r(t) = A/P
r(t) = (2.2t +25)/(2.6t +29)
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52. Fill in the required numbers and do the arithmetic.
r(0) = (0 +25)/(0 +29) = 25/29
r(0) ≈ 0.862
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r(4) = (2.2·4 +25)/(2.6·4 +29) = 33.8/39.4
r(4) ≈ 0.858
The salary ratio is approximately flat at 0.86 over the 4-year period. It is declining slightly each year.
The decimal form of 2/4 is..... 0.5
Part a.
<span>The perimeter formula is: </span>
P = 2w + 2LYour answer for part A is
P = 2w + 2LPart b.
They tell us in part b, that:
w = 6L + 20
Substitute that into what we got for part a.
P = 2(6L + 20) + 2L
P = 12L + 40 + 2L
P = 14L + 40Your answer for partb is
P = 14L + 40Part c.
So we take what we got from part b, and solve for L.
P = 14L + 40
14L = P - 40

That is your answer for part 3 ^
part d.
Plug in w = 32 into what we first got in part b.
w = 6L + 20
32 = 6L + 20
6L = 12
L = 2Your answer for part d is
L = 2<span>:D</span>