Answer:
(-7x + 9)(x+2)
Step-by-step explanation:
-7x^2 - 5x + 18
Product = -126
Sum = -5
Factors (-14, 9)
-7x^2 - 14x + 9x + 18
-7x(x + 2) +9(x + 2)
(-7x + 9)(x + 2)
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
x = number of 1-cent stamps
y = number of 8-cent stamps
z = number of 12-cent stamps
We have 31 stamps all together, so x+y+z = 31.
"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.
You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x
-------------
x+y+z = 31
x+x-8+z = 31 ... y replaced with x-8
x+x-8+0.5x = 31 ... plug in z = 0.5x
2.5x-8 = 31
2.5x = 31+8
2.5x = 39
x = 39/2.5
x = 15.6
Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).
Answer:
$6,000
Step-by-step explanation:
The mean value of a sample is assumed to be the same as the mean of the population. The mean of a uniformly distributed variable between 0 and 160 is:
If the mean cost for each machine is $80, the mean aggregate cost for a sample of 75 machines is:
The mean aggregate maintenance cost is $6,000.
The answer is 5 (C)
This is because the triangle is an isosceles triangle meaning that both MN and ML are the same length and "5" would make them both 15.
