X= first integer
21-x= second integer
(x)(21-x)= 108
multiply x by each term in parentheses
21x - x^2= 108
subtract 108 from both sides
21x - x^2 - 108= 0
-x^2 + 21x - 108= 0
multiply whole equation by -1 to eliminate the negative coefficient in the first term
(-1)(-x^2 + 21x - 108)= 0
x^2 - 21x + 108= 0
factor (remember we need #s to add to 21 and multiply to 108)
(x-12)(x-9)= 0
x-12= 0
x= 12
x-9= 0
x= 9
CHECK:
9 + 12= 21
9 * 12= 108
ANSWER: The two positive integers that add to 21 and multiply to 108 are 12 and 9.
Hope this helps! :)
Answer:
x = 72 / 85
Step-by-step explanation:
x -6/7=-x/84
x + x/84 = 6/7
84/84x + 1/84x = (12*6) / (12*7)
85/84x = ( 72 ) / ( 84 )
85/84x = 72 / 84
Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:
84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }
{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )
(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)
x = 6048 / 7140
x = 72 / 85
Answer:
System utilization = 0.7 or 70%
Step-by-step explanation:
Given arrival rate of customer = 15 customer/Hour
Servie rate =
Now, use the below formula to find the system utilization.
System utilization =
System utilization =
System utilization =
System utilization = 0.7 or 70%
Answer:
x = 85 Degrees
y = 85 Degrees
Step-by-step explanation:
20 Degrees + 90 Degrees -->
90 and 20 are <em>given</em> => 110 Degrees
e triangle angles sum = 180 Degrees
180 - 110 = 70 Degrees
=> Vertical angles so 25 + x + 70 = 180
x = 85
x + (z) = 180 e sum of half 360
85 + z = 180
z = 95 Degrees
--> z + (y) = 180 e same as above (sum of interior angles)
95 + y = 180
y = 85
<em><u>Hope this helps!</u></em>
Answer:
The answer is c, 783.67
Step-by-step explanation:
you add 850+832+669=2351
because it is for 3 months, you divide it by 3. 2351/3=783.6666666667
They say round to nearest cent, which is 783.67