This is a simultaneous question.
To solve this, we have to make up 2 equations based on the info provided like so:
electricity = e
gas = g
600e + 100g = $412 ——(1)
400e + 150g = $293 ——(2)
In this case, it’ll be easier to use the elimination method where you eliminate a variable so you can calculate only one.
Here, we will be eliminating e so we can get the cost of gas.
To do this we need to get both equation’s e to 600, so we have to multiply equation 2 by 1.5:
(2) x 1.5:
400e + 150g = $293
600e + 225g = $439.50 ——(3)
Now we eliminate e by subtracting equation 1 from equation 3:
(3) - (1):
600e + 225g - 600e - 100g = $439.50 -$412
125g = $27.50
g = $0.22.
Therefore one unit of gas costs $0.22.
Hope it helps and have a good day ahead :D
Answer:
- 6 units left and 4 up (if figure K translated)
- 6 units right and 4 units down (if figure J translated)
Step-by-step explanation:
<em>It is not clear which of the figures is translated.</em>
<em>Assume it is figure K.</em>
Use one of the points and compare the corresponding point.
<u>If you take bottom-left point, then the difference is coordinates is:</u>
- -7 - (-1) = -6, this is translation left by 6 units (or right if the figure J is translated)
- 2 - (-2) = 4, this is translation up by 4 units (or down if the figure J is translated)
<u>So the answer is </u>
- 6 units left and 4 up or, (figure K translated)
- 6 units right and 4 units down (figure J translated)
Let the number of hats they sold be x and the number of t shirts they sold be 23-x.
12x + 10(23-x) = 246
x = 8
The number of hats they sold is 8.
23-8= 15
The number of t shirts they sold is 15.
Answer: x =2 and y= 1
Step-by-step explanation:2(2) + 1(1) =
4 + 1 = 5 which is true
hope this helps