1). y-3=-2(x+4)
2) slope = 3/4
y+2=3/4(x+4)
y=3/4x +1
3x-4y=4
looks like only the last one
Answer: 12.50$
Explanation: 5.25$ (per pound) and he wants 3 pounds so we multiply 5.25x3 which equals 15.75 and then we subtract 3.25 (because of the coupon) which makes your final answer 12.50$
Answer:
Total pints of cream will they need for the pasta = 7 pints
Step-by-step explanation:
Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.
To find - How many more pints of cream will they need for the pasta?
Solution -
10 people = 3 cups of cream
⇒80 people = 8×3 = 24 cups of cream
Now,
We know that,
1 cup = 0.5 pints
⇒24 cup = 24×0.5 = 12 pints.
Now,
Given that, The restaurant already has 5 pints of cream in the fridge.
So,
Total pints more needed = 12 - 5 = 7 pints.
∴ we get
Total pints of cream will they need for the pasta = 7 pints
Answer:
35,829,630 melodies
Step-by-step explanation:
There are 12 half-steps in an octave and therefore 
arrangements of 7 notes if there were no stipulations.
Using complimentary counting, subtract the inadmissible arrangements from to get the number of admissible arrangements.
can be any note, giving us 12 options. Whatever note we choose, 
must match it, yielding 
. For the remaining two white key notes, 
and 
, we have 11 options for each (they can be anything but the note we chose for the black keys).
There are three possible arrangements of white key groups and black key groups that are inadmissible:
White key notes can be different, so a distinct arrangement of them will be considered a distinct melody. With 11 notes to choose from per white key, the number of ways to inadmissibly arrange the white keys is 
.
Therefore, the number of admissible arrangements is:
