Answer:
What 108 represents here is that the total number of phones she has to fix each week is 108 phones
Step-by-step explanation:
The linear equation is
P = 108-23d
compare this with the general form;
y = mx + c
we have;
P = -23d + 108
We can see that 108 represents the y-intercept in this case
The x-value at the y-intercept is 0
So what this mean is that the number of phones she has to fix each week is 108
Answer:Paul should sell 3 paintings per hour to recover his cost.
Step-by-step explanation:
Total paintings = 32
Minimum amount to sale = 17
Paintings sold = 3
Paintings left = 17 - 3 = 14
Time left = 5 hours
Therefore, he needs to sell 14 paintings in 5 hours.
5 hours = 14 paintings
1 hour =
Rounding off to nearest whole number;
2.8 paintings = 3 paintings
We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
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You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
9514 1404 393
Answer:
- 132v^2, -v
- 24v^6, -2v^3
- 18v^12, 7v^6
- -56v^14, -15v^7
- 3v^20, -2v^10
Step-by-step explanation:
The product is the product of the numbers, multiplied by the product of the variable factors. The variable is the same in every term, so the product of the variable factors will have an exponent that is the sum of the exponents.
The difference will have a coefficient that is the difference of the coefficients.
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(11v)(12v) = 132v^2 . . . . 11v -12v = -v
(4v^3)(6v^3) = 24v^6 . . . . 4v^3 -6v^3 = -2v^3
(9v^6)(2v^6) = 18v^12 . . . . 9v^6 -2v^6 = 7v^6
(-8v^7)(7v^7) = -56v^14 . . . . -8v^7 -7v^7 = -15v^7
(-3v^10)(-v^10) = 3v^20 . . . . -3v^10 -(-v^10) = -2v^10
Is there any more details? Is the triangle an isosceles? Equilateral?
