Answer:
$15.17
Step-by-step explanation:
First we calculate the value for the sales tax:

we then add the value for the sales tax ($1.07) to the initial bill:

We were instructed to calculate the tip after the sales tax was added so:

after we will add the value for the tip to the value that we have for the bill ( this is the new value that includes the sales tax) to find the total cost:

<em>Therefore</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>cost</em><em> </em><em>for</em><em> </em><em>his</em><em> </em><em>mean</em><em> </em><em>is</em><em> </em><em>$</em><em>15.17</em>
The equation of the line can be shown using the slope intercept form that is
y= mx+b
where m is the slope and b is the y intercept
So firstly we have to find the value of slope m
To find the value of slope m we apply the formula

So we can plug the values using the two given points
(-0.5,0.75) and (0.75,-0.5)

So m = -1
Plug m=-1 in the equation we get
y= -1x +b
Now we have to find the value of b
to find the value of b , we plug any one pint in the equation
0.75 = -1(-0.5) +b
0.75 = 0.5 +b
Subtract 0.5 from both sides
0.25 = b
or
b= 0.25
Now plug the value of b , in the equation
we get
y = -1x +0.25
hence the equation of the line is y = -1x +0.25
Answer:

Step-by-step explanation:
A fraction can be found be taking the current amount over the total amount:

Since Darlene has only typed 23 pages out of 59, her fraction is 23 over 59. Fractions must always be in simplest form, which means that both the numerator and denominator can no longer be divided by the same factor. Since the numbers 23 and 59 are both prime and have no other factors other than 1 and themselves, the fraction 23/59 is in simplest form.
Answer:
8b + 27 ≤ - 29
Step-by-step explanation:
Sum of a number can be written as x or in this case as b because it is an unknown number.
b is multipled by 8 so 8b
"and 27" indicates an addition so therefore, 8b + 27
"at most -29" This is a little bit tricky but ultimately it means 8b + 27 cannot be more than -29. Therefore, it must be lesser than.
However there is a line underneath that lesser than sign meaning lesser than or equal to. I believe that "at most" indicates equal to.
Other than the lesser than or equal to sign I'm unsure about, this inequality should be correct.