Answer:
38.25 packages
Step-by-step explanation:
Number of guests = 459
Each guest gets 1 muffin
Muffin comes in packages of 12
Hence,
The number of packages is calculated as:
459/12 = 38.25 packages
Hence, 38.25 packages are needed so there are enough muffins for every guest.
Answer:
C
Step-by-step explanation:
i think
Use trigonometry.
sin x = opposite ÷ hypotenuse
sin x = 7/9
Take the arcsin on both sides.
arcsin(sin x) = arcsin(7/9)
x = 51.057558731
Rounding to the nearest whole number means to round to the ones place.
Answer: x = 51 degrees
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.
1. 4p + 6
2. p+ p + p + p + 6
3. 6 + 4(p)
Each of these has four groups of p +6 represented.
Answer:
Laura is 30 years old and Maria is 18 years old.
Step-by-step explanation:
Let x be the present age of Laura and y be that of Maria.
Laura was 3 times older than Maria when Laura had Maria's present age.
Lets say Laura had Maria's present age(y) k years before.Then Maria's age at that time will be y-k where k=(x-y).
Then:
y=3(y-k)
y=3(y-(x-y))
y=3(2y-x)
3x=5y -------1
After two years Laura will become x+2 years old and 2 years ago Maria was y-2 years old. Then:
x+2=2(y-2)
x=2y-6--------2
Solving 1 and 2 we get:
x=30 and y=18
Hence Laura's present age is 30 and Maria's present age is 18.
