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olga nikolaevna [1]
2 years ago
15

I don’t understand how to factor fractions :( can someone help me with this problem

Mathematics
2 answers:
tigry1 [53]2 years ago
5 0
First you take 8 common which is the highest number that can divide both the nimbers, then u can also take t common...now taking a negative common is up to you. so I did all this in the second step. Then you just set it equal to 0. t=0 and 15/2

True [87]2 years ago
3 0
If you want to learn to factor fractions, it's easy
for example
-16×(t²+15/2t)
now -16×t² is -16t² , but -16×15/2t, first you factor -16 with number that is above the line, it would be -16×15t, and then divide with a number below the line
so it's -16t²-(16×15)/2t= -16t²-120t
and next solve
0=-16t²-120t
0=8t²(2t-15)
8t²=0. 2t=15
t1=0. t2=15/2
there are two solutions
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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,
Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

                                                = 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than  = 10% × 5000

                                                                                         = 0.10 × 5000

                                                                                        = 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x²  + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}

x=\frac{-150\pm \sqrt{20500} }{-2}

x=75-5\sqrt{205} or x=75+5\sqrt{205}

x = 3.41089 ≈ 3.41 feet  or  x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

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