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
He has 100 + 120 = 220 coins in his purse.
He has n + p coins if he has n nickels and p pennies.
8.5 minutes per mile is equivalent to
17 minutes
----------------
2 miles
and the reciprocal of that is
2 miles
-----------
17 min
Now multiply 26.2 miles by
17 min (17 min)* (26.2 mi)
------------ , obtaining ---------------------------
2 miles 2 mi
This simplifies to (17)(26.2)/2 minutes = 222.7 minutes,
or
222.7 minutes 1 hr
-------------------- * ------------ = 3.7 hours
1 60 min
Answer:
30
Step-by-step explanation:
Complementary angle to B = 90 - 60 = 30
Answer:
64°
Step-by-step explanation:
Angles in a straight line add up to 180° so 180° - 116° = 64°
