Step-by-step explanation:
Set up the division problem in long division format.
Divide 16 by 3
. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (5) by the divisor
Subtract 15 from 16
The result of division of 163 is 5 with a remainder of 1
- Use the long division solution to convert the original fraction (163)
- to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction (5), and the fraction portion of the mixed number will be the remainder of the original fraction division (1) over the denominator of the original fraction (3)
513
answer: 5 and one third
Answer:
B. 28 inches
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem.
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse (diagonal)
16^2 + b^2 = 32^2
256 + b^2 =1024
Subtract 256 from each side
256-256 + b^2 =1024-256
b^2 = 768
Take the square root of each side
sqrt(b^2) = sqrt(768)
b = 27.7128129
Rounding to the nearest inche
b = 28 inches
Answer:
613.8 meters cubed
Step-by-step explanation:
6.2x11x9=exactly 613.8 meters cubed
5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
