Answer:
$9+j×0.5
Step-by-step explanation:
0.5$ each cup
Cup sold j
0.5×j= $9+j×0.5 or $9+j.05
If two variables are in direct proportion, then as one increases, the other increases, and as one decreases, the other decreases. An example: If you're working, the amount of money you make (variable y) is in direct proportion to how many hours you work (variable x). The more hours you work, the more money you make, and vice versa. You can put these into the equation y = kx, where k is a constant rate at which x and y are directly proportional.
<span>If two variables are in inverse proportion, then as one increases, the other decreases, and vice versa. For example: if you take unpaid vacation from work, the number of days taken off (variable x) is in inverse proportion to the amount of money you make (variable y). The more vacation you take, the less money you'll make, and vice versa. You can put these into the equation y = k/x, where k is a constant rate at which x and y are inversely proportional.</span>
Answer:
f(-3) = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 7
f(-3) is x = -3
<u>Step 2: Evaluate</u>
- Substitute: f(-3) = 2(-3) + 7
- Multiply: f(-3) = -6 + 7
- Add: f(-3) = 1
Ok assuming that when he buys the fabric, he cuts pieces off to make it fit, but doesn't sow them in other places to make up the lost area
so
first find the area of tablecloth he needs to buy
area=pir^2
diameter=32
d=2r
r=d/2
r=32/2=16
adds 5 inches extra
16+5=21
r=21
area of cloth=pi21^2
are of cloth=441pi
aprox pi=3.14
area=441 tmes 3.14
area=1384.74
buys cloth with width of 50 and legnth of x
so we need 2 things
1. area of cloth bought>area of tablecloth
2. legnth &width must both be greater or equal to the diameter of the tablecloth (so we can make a circle fit)
new diameter=32+5+5=42 (2 sides)
so
l and w must both be greater than or equal to 42
50l>1384.74
divide both sides by 50 to find legnth
l>27.6948
but the legnth must be also greater than or equal to 42
so make l=42 for min legnth
area of cloth bought=lw=42 by 50=42 times 50=2100
so we do
area wasted=area bought-area needed
area needed=area of tablecloth=1384.74
area bought=2100
area wasted=2100-1384.74
area wasted=715.26 in^2
answer is wasted area=715.26 square inches
With two equal sides it’s called isosceles triangle
