Two angles that are supplements add up to 180°.
"The angle" is five times its supplement.
If I call the supplement 'S', then 'the angle' = 5S .
S + 5S = 180°
Combine like terms: 6S = 180°
Divide each side by 6 : S = 30°
The supplement of 'the angle' = 30°.
That's one of the choices.
"The angle" = 5S = 150°.
That's NOT one of the choices.
Answer:
2-[1, 2]
Step-by-step explanation:
From the graph, we can conclude the following things:
1. The graph is of degree 4 as it intersects the x axis at 4 points.
2. The graph tends to infinity for increasing the value of 'x' along positive or negative x-axis.
3. The graph has 3 turning points between the intervals [-1, 0], [1, 2] and [2, 3]
4. Local maximum: The top of mountain of the graph represents local maximum. So, during the interval [1, 2], there is a local maximum.
5. Local minimum: The lowest point or the valley of the graph represents local minimum.
So, during the intervals [-1, 0] and [2, 3], there are local minimums.
Thus, there is only one local maximum during the interval [1, 2].
Simplifying
7x + 2y = 16
Solving
7x + 2y = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
7x + 2y + -2y = 16 + -2y
Combine like terms: 2y + -2y = 0
7x + 0 = 16 + -2y
7x = 16 + -2y
Divide each side by '7'.
x = 2.285714286 + -0.2857142857y
Simplifying
x = 2.285714286 + -0.2857142857y
Answer:
A. 3 bags of oranges, 4 bags of apples
Step-by-step explanation:
If O is number of bags of oranges and A is number of bags of apples:
O + A = 7
5O + 3A = 27
We can solve this system of equations with either substitution or elimination. I like to use substitution, but you can use whichever you prefer.
O = 7 − A
5 (7 − A) + 3A = 27
35 − 5A + 3A = 27
35 − 2A = 27
8 = 2A
A = 4
O = 7 − A
O = 3
Teresa bought 3 bags of oranges and 4 bags of apples.
She earned 1,800$ in commission. Total=40,000$ multiply by the percentage which is 4.5% = 0.045
40,000 x 0.045=1,800$