Answer:
Follows are the solution to this question:
Step-by-step explanation:
In this question, we apply the associative property that calculates the given value, which can be defined as follows:
Rule:
Let,
put the value in the above rule:
Solve L.H.S part:
Solve R.H.S part:
So, L.H.S=R.H.S
Answer:
The statement is true because the set of rational numbers is a subset of the set of natural numbers.
Step-by-step explanation:
We just started learning this yesterday so i'm pretty sure i'm right but, I hope it helps.
With some simple rearrangement, we can rewrite the numerator as
Then factorizing the difference of squares, 
, we end up with
Answer:
-5
Step-by-step explanation:
or, f(x) = -x^2+10x+16
or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)
=49-70+16
=65-70
=-5
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
