Hello from MrBillDoesMath
Answer: + 4/7, 6 (13/14)
Discussion:
Let L be the larger of the two numbers and S the smaller of the two. Then the first sentence translates into this:
-6L - L = -4 =>
-7L = -4 => (divide both sides by -7)
L = - (-4)/(-7) = + 4/7 (*)
The second sentence translates to
2 (L + S) = 15 => (divide both sides by 2)
(L +S) = 15/2 => (subtract L from each side)
S = 15/2 - L = 15/2 - 4/7 (using (*) above)
So
S = 15*7/(2*7) - (4*2)/(7*2) (combine over common denominator of 14)
S = 105/14 - 8/14 = 97/14 = 6 13/14
Something is crazy here! While 2(L +S) = 15 -- check it out -- our larger number L ( =4/7) is actually smaller than the S number (6 13/14)! Maybe I should have called them Y and X, respectively, as you suggested!
Thank you,
Mr. B
Answer:
302 m³
Step-by-step explanation:
The volume (V) of a cone is calculated using the formula
V = 
πr²h
where r is the radius and h the height
Consider the right triangle from the vertex of the cone to the midpoint of the base and the radius
with hypotenuse = 10 cm
h² + 6² = 10²
h² + 36 = 100 ( subtract 36 from both sides )
h² = 64 ( take the square root of both sides )
h = 
= 8
Hence
V = π × 6² × 8
= π × 36 × 8
= 
≈ 302 m³
-3*-2=6+3=9 you got that part right
3*-4=-12+9=-3
therefore 9>-3
Answer:
A
Step-by-step explanation:
(m / 3) = (12 / 3) = 4
1/2 x 4 = 2
2 + n = 2 + 3/5 = 2 and 3/5 = 13/5
