All Answers 356459 Answers

M - m = 58.

Ok Sorry. No idea why. It shows up alright on my end.

3/2 - 2/3 + 8/27 - 32/243 + ...

a + b + c = 2 + 11 + 8 = 21.

(2⁶)^x = (2⁴)^x-1         now equate the exponents

6x = 4x-4     and solve for 'x'

The least possible number of red balls is 32.

By stars and bars, the number of ways is C(12,3)*C*(11,3) = 36300.

Sorry, can't read your LaTex. Write it in plaintext.

Everyday the snail gains 5-4 = 1 foot    BUT toward the end the snail will be at the top before sliding back down:

  on day 71 before starting the climb, snail will be at 70 ft...... then climbs up 5 ft   and is at the top......71 days

Let a pound of espresso = E

Let a pound of Vanilla    = V

18E + 17V =306.50..............(1)

19E + 15V =298.50..............(2)

Now, you have 2 simultaneous equations. Can you solve them?

The area of each triangle is 1/2 • base • height 

                                             (1/2)(0.5)(0.4) =  0.1 

There are four triangles so their total area is 0.4  

Add this to the area of the square and the total area is 0.65  

_.

Hint:  If one side of an inscribed triangle passes through the center of a circle, the other two sides are the legs of the right-angled triangle.

7 / [7 + 5] * 96 =56 Females originally in the club.
96 - 56 =40 males originally in the club
96 + 58 =154 Total number of males and females.
6 / [5+6] * 154 =84 Total number of males
84 - 40 = 44 New males joined the club.
58 - 44 = 14 New females joined the club
Check: 56:40 =7:5. [56+14]=70:[40+44]=84 =5:6 

Expand (x+8)² in answer A. and obtain x² + 16x + 64 = 86 

When you subtract 64 from both sides, it is x² + 16x = 22 

So the correct answer is selection a. as in applesauce. 

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oh ok thx a lot ur the best

First calculate the numbers of males and females before more members joined. Per 7 females, there are 5 males. 96/12 is 8, and because every 12 people, there are 7 males, 5 males * 8 groups of twelve people is 40, so there were 40 males, and 96 - 40 = 56 females.The total numbers of males and females after the members  joined is 96 + 58 =154, and now for every 11 people, 5 are females and 6 are males. 154/11 = 14, so there are 14 groups of 11 people. 14 groups of eleven people * 5 females per group of eleven = 70. 70 females now - 56 females before more members joined = 14. The total numbers of members that joined is 58, so 58 - 14 is 44. The answer is 44 males have joined. I hope this helped! :)

AD^2 = 45.

The answer is A, because line UV:XY is 3:2, line TV:WY is also 3:2, and line UT:XW is equivalent to 3;2. If your unsure about how ratios work, a ratio is basically a fraction. 3:2 is also 3/2. So lets take UV:XY as an example. 18/12 after simplifying is to 3/2, and because ratio is also a way of writing a fraction, 3/2 = 3:2.I hope this helped! :)

There are 408 possible sequences.

I think you may have incorrectly posted the parameters in your question....

Angela = 10  8/14   y/o    now        Mom is now   19.71  y/o

5x+10       =   3x     +     4x+8              solve for 'x'    then   AC = 5x+10

Slope, m = (y1-y2)/(x1-x2) = 4/3

y-8 = 4/3(x-3)