Answer:
See below (I hope this helps!)
Step-by-step explanation:
Let's call the number of $8, $10 and $12 as x, y and z respectively. Then, we can write the following system:
x + y + z = 360 (1)
8x + 10y + 12z = 3500 (2)
x + y = 5z (3)
5z + z = 360 (Substitute (3) into (1))
6z = 360
z = 60
x + y = 5 * 60 (Substitute z = 60 into (3))
x + y = 300 (4)
8x + 10y + 12 * 60 = 3500 (Substitute z = 60 into (2))
8x + 10y = 2780 (5)
8x + 8y = 2400 (6) -- (Multiply (4) by 8)
2y = 380 (Subtract (6) from (5))
y = 190
x + 190 = 300 (Substitute y = 190 into (4))
x = 110
Answer:
We know that:
Sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)
Then if we use this property in our expression:
sin(a-30)-sin(a+30)
We get:
sin(a)*cos(-30°) + sin(-30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
Now remember that:
sin(-x) = -sin(x)
and
cos(-x) = cos(x)
Then we can rewrite our expression as:
sin(a)*cos(30°) - sin(30°)*cos(a) - sin(a)*cos(30°) - sin(30°)*cos(a)
= -2*sin(30°)*cos(a)
and sin(30°) = 0.5
Then:
-2*sin(30°)*cos(a) = -2*0.5*cos(a) = -cos(a)
So we get:
sin(a-30)-sin(a+30)= - cos(a)
Answer:
Step-by-step explanation: when you are multiplying an equation how do you find like terms The ones that look alike. The numbers are like terms such as 4 or 8 or 10. The variables are like terms such as 4x or 9x or 3x but both of these like terms are different still from say 4x^2
when you are multiplying an equation how do you find like terms
The ones that look alike. The numbers are like terms such as 4 or 8 or 10. The variables are like terms such as 4x or 9x or 3x but both of these like terms are different still from say 4x^2 or 19x^3. Another way to look at it that numbers are one kind of like terms, all of the xs will be like terms, all of the ys will be like terms, all of the x^2 values will be alike, etc. I hope this helps.
like terms are the same like 3x and 8x are like, 8x^2 and 3x are not. the "X" must match and the power must match.
M=Maryann
s= Susan
Since you gave me no choice of equations, I will make up some equations that work:
s-32=m
s-m=32
m+32=s