Alright, so we can start by dividing -2 from both sides, getting |5y-1|=20. Then, since 5y-1 is in an absolute value, 5y-1 is either 20 or -20.
In 5y-1=20, we can add one to both sides, getting 5y=21 and y=21/5. In
5y-1=-20, we can add one again, getting 5y=-19 and y=-19/5.
If you have any more equations, make sure to plug both numbers in to check, but otherwise y has two answers , which are -19/5 and 21/5.
For number 1)
you must first split the figure, so subtract the 8 mm from 12 mm to find the width.... = 4mm
so you use the numbers 10 x 2 x 4 = 80 mm
and 2 x 8 x 3 = 48 mm
80 mm + 48 mm = volume of the figure
<h3>
Answer: 9t+8(101-t)</h3>
Work Shown:
t = number of hours tutoring
101-t = number of hours working as a waiter
The expressions t and 101-t add to 101.
9t = amount earned as a tutor, at $9 an hour
8(101-t) = amount earned as a waiter, at $8 an hour
9t+8(101-t) = total amount earned from both jobs
This does not account for taxes or other fees. Optionally, you can distribute the 8 through the (101-t) terms, then combine like terms to simplify.
Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
You would end up having $12,000 at that rate since 54 divided by 9 is 6
