Answer:

Step-by-step explanation:
Let
x------> Lamar's collection of cards
The algebraic expression of the phrase "Lamar decreased his collection of cards by seven" is equal to subtract the number seven from Lamar's collection of cards
so

It becomes 7/40. To get it, you have to put 1/8 times 5/7. Then, flip the second fraction, (5/7), so that it becomes 7/5. Multiply 1/8 and 7/5, to get 7/40. You call this "reciprocal".
Answer:
11
Step-by-step explanation:
(y+5)-(y-6)
y+5-y+6(opening the bracket)
5+6
11
Answer:
Step-by-step explanation:
Apply the quadratic formula. The coefficients are {5, -5, 1}. The discriminant is b^2 - 4ac, which here works out to 25 - 4(5)(1), or 5. This positive result tells us that this quadratic has two unequal, real roots. These roots are:
-(-5) ± √5 5 ± √5
x = --------------- = -------------
10 10