Answer:
120
Step-by-step explanation:
We let N be such that
9N = number pear juice bottles,
1N = number of pineapple juice bottles,
2N = number of grapefruit juice bottles.
Then, 20 = 2N, so that N = 10, and
The total number of juice bottles =
9N+1N+2N =
9(10)+1(10)+2(10)=
90+10+20=120
Where are the answer options
Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put 
into equation (1) to get,
Therefore the line passes through the point, 
.
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation
Answer:
X=18, Y=6
Step by Step Explanation:
This is a little long winded.. Let's solve for Y first.
First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.
Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.
Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.
So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.
