I have these questions on my homework but I have no idea how the answer is how it is. Thank you for answering!
1. Solve this equation for C.
S=C+rC
I know that the answer is S/1+r= c
I do not know where the 1 comes from.
2. You have 36.75$ to spend on a sweathshirt. There is a 5% sales tax. What is the most the sweatshirt can cost?
How do you solve this?
3. Solve this equation for B1:
A=1/2h (b1 + b2)
The answer is 2a/h -b1
Whenever I do it, I get 2a-b1/h
I do not know what I am doing wrong.
4. A garden is 46 feet wide and 84 feet long. The garden has a path around it that is 10 feet wide. The cost of fencing is 9$ per foot. How much will it cost to put a fence around the path?
Here, I do not get how to draw a picture or get the equation.
Thank you so much to anyone who takes the time to answer all of my questions! I have a midyear on monday and I really need to know these answers for it.
2. You want the sweatshirt to cost, at most, x + .05x <= $36.75
Solve for x;
1.05x = 36.75
x = 35
Thus, you want the sweatshirt to cost, AT MOST, $35.
Check:
$35*(.05) = $1.75 (this is the sales tax)
$35 + $1.75 = $36.75;
If the sweatshirt is any more, the sales tax would be greater and thus would exceed this amount.
3. A = (1/2)*h*(b_1 + b_2)
Multiply by 2;
2A = h*(b_1 + b_2)
Divide by h;
2A/h = b_1 + b_2
2A/h - b_1 = b_2
Soroban, I am sure, will be able to draw you a nice picture. I am not sure how to, unfortunately. Any way;
The garden alone is 84 x 46;
But, since we have a path around it that is 10 feet wide, we have to include 5 feet on each side;
Thus, it's 89 feet long by 51 feet wide;
The question is asking for the perimeter;
2W + 2L = P
2(51) + 2(89) = 280 feet of fencing
But, we have that it is $9 per foot; thus,
280*9 = $2520
Stupid question if you ask me; two ways of interpreting it. They are interpreting it as follows:
The garden alone is 84 x 46;
Now, the path is 10 feet wide all around; thus, 10 at the top and 10 at the bottom, and 10 on each of the sides...
So 104, 104, 66, 66;
P = 2(104) + 2(66)
= 340
340*9 = $3060