Part (a)
We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).
What's happening to x are these two things, in this exact order
- Multiply by 85
- Add 60
We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.
So,
C = 85x+60
C-60 = 85x
85x = C-60
x = (C-60)/85
In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.
<h3>Answer:
x = (C-60)/85</h3>
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Part (b)
How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).
Doing so gets us...
x = (C-60)/85
x = (315-60)/85
x = 255/85
x = 3
We can take 3 ski trips if we spent a total of $315
Repeat the same steps for C = 485
x = (C-60)/85
x = (485-60)/85
x = 425/85
x = 5
We can take 5 ski trips if we spent a total of $485
Note how plugging something like x = 5 into the original equation yields:
C = 85x+60
C = 85*5+60
C = 425+60
C = 485
Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.
<h3>Answers: 3 trips and 5 trips respectively</h3>
<h3>
Answer: D) 5/2</h3>
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Explanation:
The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.
Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2
Note: 5/2 = 2.5
737 people I’m pretty sure
I would say probably the top left im not posititive sorry if u get it wrong
Answer:
NO, It’s not a right triangle
Explanation:
Using the converse of Pythagoras’ theorem if the triangle is right then
Square on longest side = sum of square of the other sides
70^2= 4900
55^2 + 42^2 = 4789
Since 4900 ≠ 4789 not a right triangle
