Answer:
71.25 pounds
Step-by-step explanation:
I'd put it all in a ratio first
So it would look something like this :
WP : P
4. : 19
1. : 4. 75. ( I just divided them both by 4 so wp is 1)
15. : 71. 25. ( I multiplied them by 15 )
In x^3=64, X is equal to 4
Distance between p and a, PA is twice as distance between p and b, PB. a(â’2, 6, 3), b(5, 2, â’1), PA = 2PB
Square root of [(x + 2)^2 + (y - 6)^2 + (z - 3)^2] = 2 x Square root of [(x - 5)^2
+ (y - 2)^2 + (z + 1)^2]
Removing the square roots,
[(x + 2)^2 + (y - 6)^2 + (z - 3)^2] = 4[(x - 5)^2 + (y - 2)^2 + (z + 1)^2]
x^2 + y^2 + z^2 + 4x - 12y - 6z + 4 + 36 + 9 = 4(x^2 + y^2 + z^2 - 10x - 4y +
2z + 25 + 4 +1)
x^2 + y^2 + z^2 + 4x - 12y - 6z + 49 = 4x^2 + 4y^2 + 4z^2 - 40x -16y + 8z +
120
Hence the equation of sphere = 3x^2 + 3y^2 + 3z^2 - 44x - 4y + 14z + 71
Lynne ran farther and by 7/8 miles
You can tell Lynne ran further because she ran 3 whole miles while shelly only ran 2 whole miles. Now you have to subtract to see how much Lynne had ran more.
You found a common denominator between 8 and 4. 4 can turn into 8. so you multiply 4x2 and 1x2 to get a mixed number of 2 2/8
Now you have to turn 3 1/8 because you cannot subtract 2/8 from 1/8. You can turn the fraction into 2 9/8 because there are 8 pieces in a whole.
2 9/8 - 2 2/8 = 0 7/8
Hope this helps! :)
