Answer:
values of x that makes the expression true are less than -2/23
Step-by-step explanation:
GIven the expression
23x + 7 ≤5
Subtract 7 from both sides
23x+7-7 ≤5 -7
23x < -2
x ≤ -2/23
Hence the values of x that makes the expression true are less than -2/23
Answer:
The difference is 3 papers per hour
Step-by-step explanation:
First, you make turn the 10 minutes to 60 minutes by multiplied by 6 and the same to three and you would get 18 paper per hour. Next, you simplify the 8 minute rate to 1 paper in 4 minutes then multiply the 4 by 15 = 60 minutes then the same to the 1 equal to 15 paper per hour. Finally, you subtract 18 - 15 = 3 paper.
X + y = 9 Subtract x from both sides.
y = 9 - x
x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
Answer:
0.625
Step-by-step explanation:
