The number of classes Anna can take so the total cost for the month will be the same is 5.
The monthly cost would be $37.50.
<h3>When would the total cost be the same?</h3>
When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10
In order to determine the value of x, take the following steps:
- Combine similar terms: 7.5x - 5.5x = 10
- Add similar terms: 2x = 10
- Divide both sides by 2 : 10 /2 = 5
Monthly cost when the cost is the same: 7.5 x 5 = $37.50
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Answer:
I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6
Answer:
part C. 3x + 2y <u>< </u>30, 5x + 7y <u><</u> 105
Step-by-step explanation:
Part 1:
spends 3 hours making each type X (3x)-each type x will take 3 hours so as the number of type x increases, the hours will increase by 3.
spends 2 hours making each type Y (2y)-each type y will take 2 hours so as the number of type y increases, the hours will increase by 2.
Part 2:
he can spend up to 30 hours each week making carvings. (<u><</u>30)-because he cannot spend more than 30 hours
Therefore, He has to spend 30 hours or less to make type X and type Y.
3x + 2y <u>< </u>30
Part 3:
His materials cost him $5 for each type X carving. (5x)-each type x will take $5 so as the number of type x increases, the cost will increase by 5.
His materials cost him $7 for each type Y carving, (7y)-each type y will take $7 so as the number of type y increases, the cost will increase by 7.
Part 4:
he must keep his weekly cost for materials to $105 or less (<u><</u>105)-total cost cannot be more than $105.
Therefore, the total cost of making x and y should be $105 or less.
5x + 7y <u><</u> 105
!!
Two lines are parallel if the gradient (i.e. the x coefficient) of them both is the same.
Two lines are perpendicular if the gradient has its sign changed
and has it's fraction flipped (i.e. a gradient of 2/3 would become -3/2, and a gradient of 10 would become -1/10)
THe first one is in the correct form already, with a gradient of -4.
Now we need to rearrange the second:
The second equation has a gradient of 1/4, which is indeed the negative and reversal of -4, therefore the two lines are
perpendicular.
If you already picked one wrong door then it is a 50/50 chance you will get the correct door or 1/2 or 1 of 2 or .5
