It would be the second anser: 15m+2n
ANSWER: 8/21
Step:
1. Find the GCF (Greatest Common Factor)
The two denominator which is the bottom number have to be the same ALWAYS when adding and subtracting the fraction. So to find the GCF, you keep multiplying until you see the same number, only use the bottom number to find the GCF
7: 7, 14, 21, 28
3: 3, 6, 9, 12, 15, 18, 21, 24, 27
GCF= 21
2. 5/7 -1/3
Multiple both to get 21
5/7 x 3/3 = 15/21
1/3 x 7/7 = 7/21
3. Sove
15/21 - 7/21
= 8/21
Using the Sine Rule:-
20 /sin 45 = BC / sin 30
BC = 20 sin 30 / sin45
= 20 * 1/2 / 1 / sqrt2
= 20 * 1/2 * sqrt2
= 10 sqrt2 answer
Answer:
the price per cup is $4.64
Step-by-step explanation:
so 1 gallon is 4 cups and so what you do is 4×3=12 then divide 12 to $55.68 and you'll get $4.64 and if you wanna double check just do $4.64×12 then divide 12 by 3 and you'll get 4 cups that which equal a gallon
Answer:

Step-by-step explanation:
We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.

For the price function be to continuous at
, the value of both functions at
must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.

Let us solve for k.


Therefore, the price function p is continuous at
, when k is equal to 6.