The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)
Answer:
$1,800
Step-by-step explanation:
If Mo pays 1/2 of the rent then he is paying 50%. Charlie is paying another 25%. This leaves the remaining 25% that Andy pays. Since Andy's payment amount is 450 then that means that 450 is equal to 25% of the total rent. Therefore, we simply need to multiply this amount by 4 to get the 100% of the overall rent.
450 * 4 = $1,800
Finally, we can see that the total rent amount is $1,800
Answer:
(6x + 5)(7x² - 6)
Step-by-step explanation:
Factor the first/second and third/fourth term
42x³ + 35x² - 36x - 30
= 7x²(6x + 5) - 6(6x + 5) ← factor out (6x + 5) from each term
= (6x + 5)(7x² - 6)
Answer:
5b+1c=3b+5c
Step-by-step explanation:
Let's use the variable c for the circles and b for the boxes.
The weights are the same on both sides, so count the boxes and circles on each side.
There are 5 boxes and 1 circle on the left side. The left side of the equation says 5b+1c.
There are 3 boxes and 5 circles on the right side. The right side of the equation says 3b+5c.
And since the 2 sides are equal, you split the 2 sides of the equation with =.
5b+1c=3b+5c
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5