Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Answer:
x = 7/3
Step-by-step explanation:
3x - 2 =5
Add 2 to each side
3x-2+2 = 5+2
3x = 7
Divide by 3
3x/3 = 7/3
x = 7/3
The correct option is D for the placement of regular polygon and the rhombus.
<h3>What is defined as the
regular polygon?</h3>
- A polygon is a two-dimensional enclosed image created by connecting three or more straight lines.
- A rhombus is a special parallelogram because it meets the definition of a parallelogram, which is a quadrilateral to two pairs of parallel sides.
- A polygon is made up of three parts:
- Sides: A side is a line segment that connects two vertices.
- Vertices: A vertex is the point where two sides meet.
- Interior and exterior angles An interior angle is an angle formed by joining the sides of a polygon within its enclosed surface.
As, all the given figures comes under the regular polygon, all are placed in the left circle.
But the three diagram in white, orange and blue colour are regular polygon along with rhombus.
Thus, all three are placed in the intersection of the both circle of the vein diagram.
To know more about the regular polygon, here
brainly.com/question/1592456
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6x-3y=3
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.
Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)
Answer:
X+13=116
Step-by-step explanation:
