Answer:
1 1/2 cups
Step-by-step explanation:
2/3 cup of almonds = 4 cups of trail mix
4 cups of trail mix = 2/3 cup of almond
4 cups of trail mix = 2/3 cup of almond
1 cup of trail mix = 2/3 ÷ 4 = 1/6 cup of almond
1 cup of trail mix = 1/6 cup of almond
9 cups of trail mix = 1/6 x 9 = 3/2 cup of almond
3/2 cups = 1 1/2 cups
We are given
The average income, I, in dollars is
(a)
now, we are given
average income is $275000
so, 
now, we can set them equal
and then we can solve for x
we will have to use quadratic formula
we get
we need to find youngest age
It means that we need to choose smallest value
so,
............Answer
(b)
we are given
x=40
so, we can plug it and find I
..............Answer
A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24
D because it has to be a chord due to being perpendicular to a diameter
