Let M = marker cost
Let P = pencil cost
3 markers and 2 pencils cost 1.80 ==> 3M + 2P = 1.80
4 markers and 6 pencils cost 2.90 ==> 4M + 6P = 2.90
Multiply the first equation by (-3) and add it to the second equation
-9M - 6P = -5.40
4M + 6P = 2.90
-5M = -2.50
M = 0.50
Plug this value for M into the 1st equation and solve for P
3*(0.50) + 2P = 1.80
1.50 + 2P = 1.80
2P = 0.30
P = 0.15
So a marker costs 50 cents and a pencil costs 15 cents
Answer:
The volume of the container is<u><em> 480</em></u> in.
Step-by-step explanation:
First, lets break the container into two figures, just to make it easier to calculate the volume or area.
The first figure is has the height of 10 in, length of 8 in, and width of 5 in.
10 × 8 × 5
10 × 8 = 80
80 × 5 = 400
The volume of the first figure is <em>400</em> in.
Next, lets calculate the volume of the second figure which has the height of 5 in, length of 4 in, and the width of also 4 in.
5 × 4 × 4
5 × 4 = 20
20 × 4 = 80
The volume of the second figure is <em>80 </em>in.
Now, lets add the volumes of the two figures to find the total volume, 400 in for the first figure, and 80 in for the second figure. v
400 + 80 = 480
The total volume of the figure is<u><em> 480 </em></u>in.
Answer:
7 + 7 = 14 and 20 - 2 = 18
The solution is: (6,0)
Step-by-step explanation:
Given equations are:
<u>Part A:</u>
The graph is made using the online tool Desmos.
The graph is attached as a picture
<u>Part B: Solution from graph:</u>
On the graph we can see that both lines intersect at (6,0)
So the solution is x=6 and y=0
<u>Part C: Algebraic Verification</u>
Putting y= 1/3x-2 in equation 1
Adding 12 on both sides
Dividing both sides by 3
Putting x = 6 in equation 2
Hence,
The solution is: (6,0)
Keywords: Graphing, linear equations
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