Answer:
-5x + 56
Step-by-step explanation:
Use distributive property to refine.
20 - 2x + 36 - 3x
Combine Like Terms
-5x + 56
Answer:
cos34°
sin56°
Step-by-step explanation:
Sin(2x+42)= sin90-(3x+13)
Sin(2x+42) = sin(90-13-3x)
Sin(2x+42) = sin(77-3x)
2x + 42 = 77-3x
5x. = 35
X = 7
If x = 7
cos(3x+13) = cos((3*7)+13)
cos(3x+13) = cos(21+13)
cos(3x+13)= cos34
And
sin(2x+42) = sin((2*7)+42)
sin(2x+42)= sin (14+42)
sin(2x+42) = sin56
Answer:
Therefore the maximum number of bouquets is 12.
Step-by-step explanation:
Given that, Angelina has 24 tulip and 36 roses.
To find the number bouquets, we need the find out the g.c.d (greatest common divisor) of 24 and 36.
24= 2×2×2×3
36=2×2×3×3
The common factors are = 2,2,3
The g.c.d of 24 and 36 is =2×2×3
= 12
Therefore the maximum number of bouquets is 12.
Answer: 150 degrees
Step-by-step explanation: 10+ 20 = 30
180-30 = 150 degrees.
2.75 cups were in the punch bowl before felicia refilled it .
<u>Step-by-step explanation:</u>
Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:
Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:
⇒ 
Now , After this 1.25 and 2 cups were served by guests themselves and remaining cups were 11.5 i.e.
⇒ 
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
Therefore , 2.75 cups were in the punch bowl before felicia refilled it .