First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
Hey!
The area of the board is 60,000 centimeters.
1 meter = 100 centimeters
2 meters = 200 centimeters
3 meters = 300 centimeters
Area = length × width
300 × 200 = 60,000
One cup covers 1,000 centimeters. To cover 60,000 centimeters, divide 60,000 by 1,000.
That means Arella needs 60 cups
Answer:
A. 10cm
B. 8 times
Step-by-step explanation:
The question is on volume of a conical container
Volume of a cone= 
where r is the radius of base and h is the height of the cone
Given diameter= 12 cm, thus radius r=12/2 =6 cm
h=10 cm
B.
If height and diameter were doubled
New height = 2×10 =20 cm
New diameter = 2×12 = 24, r=12 cm
volume = 
To find the number of times we divide new volume with the old volume
Answer:
1/3.75
Step-by-step explanation:
Let:
Volume of sphere P = x
Volume Sphere Q = x + 150/100x
Volume of Q = x + 1.5x = 2.5x
Volume of R is 50% more than Q
Volume of R = (100 + 50)% of 2.5x
Volume of R = 150/100 * 2.5x
Volume of R = 1.5 * 2.5x = 3.75x
Volume of sphere P as a fraction of sphere R ;
Volume of P / volume of R
x / 3.75x
= 1/3.75
