Answer:
x = 5, y = 4
Step-by-step explanation:
x + 4y = 21
4x - 16 = y
x + 4(4x - 16) = 21
x + (16x - 64) = 21
(17x - 64) = 21
17x = 85
x = 85/17
x = 5
___________________
x + 4y = 21
5 + 4y = 21
4y + 5 = 21
4y = 16
y = 16/4
y = 4
___________________
6 x 9 = 54
He has a total of 54 pages to grade.
54 - 12 = 42 pages
He still has to grade 42 pages.
Hope I helped!!
Answer:
3x³ + 23x² + 63x + 55
Step-by-step explanation:
Given
(3x + 5)(x² + 6x + 11)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis
= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms
= 3x³ + 23x² + 63x + 55
First, look at the digits less than one one-hundredth (
, or .01):
0.00416
See if that number is closer to the higher or lower hundredth:
(if the first digit is 5 or greater, then higher;
if the first digit is 4 or lower, then lower)
Since 4 is closer to the lower hundred, round down
0.00416 -> 0.00000
Add this to the digits we didn't touch:
<span>17,546.32000 + 0.00000 = 17,546.32
</span>17,546.32416 rounded to the nearest hundredth is
C. <span>
17,546.32</span>
Y = 250x + 45
He is making 250 an hour, meaning that x would represent the hours worked. The 45 dollars is an initial pay meaning you would simply add that to the equation.