volume = l x w x h
20.5 x 6 x 14 = 210 cubic inches
Slope-intercept form is y= mx+b, so all you have to do is to single out the y.
y= 3x+19 (added 3x to both sides to cancel and single itself from the y)
Answer:
The correct answer is B :)
Step-by-step explanation:
The number of k-combinations(5) from a given set S of n (24) elements
Calculating the number of combinations
Substituting our values for n= 24 and k= 5 we get
24C5 = 24!5!(24−5)!
Subtracting 5 from 24 is 19
24!5!(19)!
Expending factorial
24X23X22X21X20X19!(5X4X3X2X1)X19!
Cancelling common factors
24X23X22X21X205X4X3X2X1
Multiply numerator values and denominator values
5100480120
Divide the 5100480 by 120
Final Result :42504.0
There are 42504.0 combinations to choose 5 items out of a set of 24
<u>Answer:
</u>
Two required integers are 5 and 10.
<u>
Solution:
</u>
Given that a positive integer is twice another. The sum of the reciprocals of the positive integers is ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
We have to find the two integers.
Let assume that one integer = x
Since another integer is twice of first one, so second integer = 2x
Reciprocal of first integer = ![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
Reciprocal of first integer = ![\frac{1}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2x%7D)
Given that sum of reciprocal = ![\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%7D)
![\frac{1}{x}+\frac{1}{2 x}=\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7B2%20x%7D%3D%5Cfrac%7B3%7D%7B10%7D)
On solving above equation for x,
![\frac{2+1}{2 x}=\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B1%7D%7B2%20x%7D%3D%5Cfrac%7B3%7D%7B10%7D)
![\frac{3}{2 x}=\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%20x%7D%3D%5Cfrac%7B3%7D%7B10%7D)
2x=10
x=5
First integer = x = 5
Second integer = 2x = 10
Hence two required integers are 5 and 10.
Answer:
158
Step-by-step explanation:
17.55*9=157.95
157.95 estimated = 158