Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
x² - 6 = -x
x² + x - 6= 0
Sum =1
Product = -6
Factors = 3 , (-2) { 3*(-2) = -6 & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
Answer:
A) $1.60
B) $13.60
C) 3 1/4 lb
Step-by-step explanation:
What we know:
A farmer uses the equation <em>c </em>= 1.6<em>p </em>to calculate the total cost, <em>c</em>, for <em>p </em>pounds of apples.
A) 1 pound would cost $1.60, as that is the unit rate.
B) 8.5 * 1.6
8.5 + (0.6 * 8.5)
8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.
C) 5.2/1.6
52/16
13/4 = 3 1/4 lbs of apple for $5.20
Answer:
10000 different numbers
Step-by-step explanation:
The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:
is the number of options, 
, and 
the number of times you have to place a digit, 
.
Answer:
Step-by-step explanation:
I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).
The area of a sector is:
where our angle is given as 34, pi is 3.1415, and the radius is 5:
and if you multiply and divide that all out you get that the area of the sector is:
A = 7.417
Now subtract from it the area of the segment, 2.209. to get the area of the triangle:
7.417 - 2.209 = 5.208
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
