Answer:
480 different sandwiches
Step-by-step explanation:
To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.
Bread: 3 types -> combination of 3 choose 1 -> 3
Protein: 4 types -> combination of 4 choose 1 -> 4
Cheese: 4 types -> combination of 4 choose 1 -> 4
Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10
So the number of different sandwiches is:
3 * 4 * 4 * 10 = 480
Answer: 10.2
Step-by-step explanation: 64 x 0.16 = 10.24
Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "
Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
<span>We will use s for the cost of a small candle and m for the cost of a medium candle.
(a)
The candles and price for Jin can be written as:
3s+1m=$3.85
The candles and price for Trish can be written as:
4s+5m=$10.45
The system of equations that we have is:
</span>3s+1m=$3.85
4s+5m=$10.45
(b)
We will use substitution to solve this problem.
From the first equation we can find out m:
3s+1m=$3.85
1m=$3.85-3s
Now we insert this into second equation and we solve it for s:
4s+5($3.85-3s)=$10.45
4s+$19.25-15s=$10.45
-11s=-8.8
s=$0.8
Now we can find m:
m=$3.85-3*$0.8
m=$3.85-$2.4
m=$1.45
(c)
The candles and price for Jin can be written as:
2s+1m=price
We can insert values for s and m:
2*$0.8+$1.45=price
price=$1.6+$1.45
price=$3.05
4.3333333 :) hope this helps??
