The total amount raised is the sum of the amounts raised by the car wash and the dinner. The car wash raised 7c - 18. The dinner raised 6s - 45. We now add the expressions and combine like terms.
7c - 18 + 6s - 45
We need to combine like terms. Like terms are terms that have the same variables and the same exponents on the variables. 7c and 6s are not like terms since c and s are different variables. They cannot be combined together. Plain numbers, like -18 and -45 are lime terms because their variable parts are the same; they both have no variables.
7c - 18 + 6s - 45 =
= 7c + 6s - 18 - 45
= 7c + 6s - 63
Answer: C. 7c + 6s - 63
Answer:
opposite side of an angle
hypotenuse
4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
1. There are 6 green bulbs because
13+5=18*1/3=6 green bulbs
2. The probability of getting a red bulb is 15/8
Hope it helps you!!!!
Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0
