Answer:
Layota
$47.5
Step-by-step explanation:
Let number of hours = x
Given that:
Oscar's charges :
First hour = $25
Additional hours = $15
Thus :
Total charge : 25 + 15(x - 1)
The piece wise equation given for Layota's charge rate :
First 3 hours = $30
Next 3 hours = $20
Hours greater Than 6 = $10
If total hours ; x = 5.5 hours
Oscar :
$25 + $15(5.5 - 1)
$25 + $15(4.5)
$25 + $67.5
= $92.5
Layota:
First 3 hours :
$30 * 3 = $90
Hours left :
$20 * (5.5 - 3)
$20 * 2.5 = 50
Total = $90 + $50 = $140
Layota charges more : 140 > 92.5
Difference :
$140 - $92.5
= $47.5
Eight decreased by six times the number k
The difference of eight and the product of six and the number k
Eight minus six times k
Six multiplied to k is less than 8
Answer:
She forgot to flip the sign in the last step.
Step-by-step explanation:
In inequality, if you multiply or divide by a negative number, you would have to reverse the inequality sign.
Marice forgot to do this in the final step. She had to divide '-8' to get x completely on one side. All other steps are correct.
The correct answer is x ≥ -1.
Hope this helps.
Answer:
1) The dependent variable is the monthly charge and the independent variable is the $110 to open the membership.
2)The dependent variable is the monthly charge because it will change depending on how many months you plan to keep your membership.
3)This relationship is linear because it will go up by $30 every month.
4)You could create a graph off of this information because all you would need to do is graph the cost each month.
5)I would need the number of month that I would keep the membership going and the amount that i have already paid.
Answer:
9 cm
Step-by-step explanation:
Given that angle Y = 90 means that the triangle is a right angle triangle
If angle X = 30 degrees and xz =18 cm
xz is the hypotenuse side while zy is the opposite side considering the angle at X
Hence using the notation SOH CAH TOA
SOH
Sin X = zy/xz
Substituting
Sin 30 = zy/18
cross multiply
zy = 18 sin 30
zy = 18 * 0.5
= 9 cm
