2/3=.6 repeating
12/.6 repeating = 18
13 balls of yarn would be used to make 18 scarves.
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7
2. (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR 3 1/5
3. (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11
4. (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x
Answer:
12 ; 12 dollars
Step-by-step explanation:
Data provided in the question:
Revenue function, R = 12x
R is in dollars
Now,
The slope can be found out by differentiating the above revenue function w.r.t 'x'
thus,
=
or
slope = 12
Now, for the second case of selling one more unit i.e x = 1, the revenue can be obtained by substituting x = 1 in revenue function
therefore,
R = 12 × 1 = 12 dollars
Perimeter is the sum of all the sides. So we can set up an equation:

Now solve for 'x', combine like terms:
When it comes to terms with variables it's just like normal addition but we keep the variable:


So we have:

Add:

Subtract 7x to both sides:

Subtract 4 to both sides:

Divide 5 to both sides:
Answer:
x = 14/9
Step-by-step explanation:
70 - 8x = 56 + x
- 8x - x = 56 - 70
- 9x = - 14
- x = - 14/9
x = 14/9