Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
The slope is 
Step-by-step explanation:
Take the general equation of a straight line 
Here 
is the slope of the line.
So let's get the equation of the line in the question in the same form.
Add 
to both sides: 
Add 
to both sides: 
Divide by 
to get it into the general equation: 
Now compare it to the general equation to find the value of . The value of is the coefficient of 
which we can see is
For the cut glass pieces to be rectangular in shape, the glass cutter should ensure:
- All four interior angles = 90° each.
- Opposite sides are parallel and equal to each other.
- Diagonals should be of the same length and should bisect each other.
<h3>Properties of a Rectangle</h3>
- All four angles of a rectangle are 90° each.
- There are two pairs of parallel sides that are equal in length.
- The diagonals bisect each other and are of equal length.
Thus, to ensure the cut glass pieces are rectangular in shape, he should ensure the following:
- Make the four interior angles 90° each.
- The opposite sides should be parallel and equal to each other.
- The diagonals should be of the same length and should bisect each other.
Learn more about properties of rectangle on:
brainly.com/question/2835318
The surface of the lake.
6
5
4
3
2
1
0 Here is the surface of the lake
-1
-2
-3
-4
-5 Here is the fish
-6
Answer:
Step-by-step explanation: the way to find missing anlges are to use trigrometery
