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Alenkinab [10]
3 years ago
12

the area of a rectangle city park is 25/54 sqaure miles. the length of the park is 5/9 mile. what is the width in miles of the p

ark?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0
A = lw

Plug in what we know:

25/54 = (5/9)w

Divide 5/9 to both sides or multiply by its reciprocal, 9/5:

25/54 * 9/5 = w

Multiply the numerators and denominators together:

225/270 = w

Simplify:

<span>w = 5/6</span>
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A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the recta
charle [14.2K]

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

7 0
3 years ago
4/5+ unknown number =14/15
prohojiy [21]

Answer:

The unknown number is 2/15.

Step-by-step explanation:

4/5+x=14/15

x=14/15-4/5

x=14/15-12/15

x=2/15

5 0
3 years ago
Read 2 more answers
Ax+bx-c=0 x= _/(a __)
Ulleksa [173]
Ax+bx−c=0

Step 1: Add c to both sides.

ax+bx−c+c=0+c

ax+bx=c

Step 2: Factor out variable x.

x(a+b)=c

Step 3: Divide both sides by a+b.

x(a+b)a+b=ca+b

x=ca+b

4 0
3 years ago
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2/7&gt; b+5/7 what is “B”
Masteriza [31]

Answer:

-3/7 > b

Step-by-step explanation:

2/7> b+5/7

Subtract 5/7 from each side

2/7-5/7> b+5/7-5/7

-3/7 > b

7 0
3 years ago
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