We want to prove

which is akin to saying that, for any given
, we guarantee that

for all
exceeding some threshold
.
We want to end up with


which suggests that we guarantee that
is arbitrarily close to 1 if
. (Take the ceiling to ensure
is a natural number.)
Now for the proof: Let
be given. Then for
we have

QED
Answer:
10. 0.20
11. country
12. Hip-Hop and R&B, 3/10
13. Rock, 0.05
Step-by-step explanation:
10. for the boys, pop= 10% and country= 10%. add them together to get 20% and write that as a decimal, which is 0.20
11. 1/5 of 100% is 20%, and 20% of girls chose country as their favorite
12. Hip-Hop and R&B are the favorites for the most boys at 30% each. write that as a fraction of 100% which is 3/10
13. Rock is the least favorite among the girls at 5%, and 5% as a decimal is 0.05
Answer:
1) Equation's:
2) Number of guest and the charge:
- Cost is same for both at 50 meals. The cost is $1250.
<u>Part 1</u>
Turn sentences into equation's (Let 'y' be total cost and x per meal) :
(i) charges $500 and $15 per meal
(ii) charges $350 and $18 per meal
<u>Part 2</u>
y = y
500 + 15x = 350 + 18x
18x - 15x = 500 - 350
3x = 150
x = 150/3
x = 50
Charge at guest's 50 meal:
y = 500 + 15(50)
y = $1250
Point : (50, 1250)
Answer:
none of the above
Step-by-step explanation:
the answer is -3/4
Answer:
y = 60°
x = 12
Step-by-step explanation:
Because all sets of opposite sides are parallel, opposite angles are equal, and opposite sides have the same length.