Answer:
C
Step-by-step explanation:
Arc length is given by Ф/360 ×2×
r
where r =radius of circle =11 units
and Ф =97
Arc length = 97/360 ×2× × 11
18.63
Answer:
d = 127 + 25m
Step-by-step explanation:
We start with 127 dollars
We add 25 each month
127 + 25m
This is the amount of money in the account
d = 127 + 25m
Answer:
- 12x +15y = 4140; x + y = 300
- x = 120; y = 180
Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
__
Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
The answer is deductive reasoning. The deductive reasoning refers to a type of reasoning that starts from the general to go to the particular, deducting or inferring conclusions through certain premises. It is the type of reasoning most used in mathematics
Answer:
1020 seconds
Step-by-step explanation:
take the time of how long getting home to when food will be done which is 17 minutes
times that by 60 to get seconds and its 1020
