20% = 3.20
8%=1.28
28%=4.48+16=20.48
The total cost would be $20.48
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>
===============================================================
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>
29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.
Answer:
−3(x+9)
Step-by-step explanation:
Answer:
To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this is (4x^2)^3 + 3^3
