$18.00 total payment

$15.00 x .05(tax) =$ .75
$15.00 x .15(tip) =$ 2.25
________________________
   $ 3.00
       + $15.00
----------------------------------
   $18.00

7 0

4 years ago

What is the answer to |x-4|<13

VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

7 0

3 years ago

Thinking the perimeter of the rectangle is 3x + 2 + x + 3x + 2 + X.

givi [52]

They are both right because the first expression is the perimeter but expanded in terms of length.The second expression is shortened to be a factor expression but they both represent the length.
The benefit of the first one is you can see how it’s expanded and plug the numbers in and the second one is more easy to plug in the numbers with ease.

7 0

4 years ago

point a is at (-7 5) and point c is at (5 -1). find the coordinates of point b on line ab such that ab is 5 times as long as bc

WARRIOR [948]

Step-by-step explanation:

Let the coordinates of point b be (x,y).

Given the coordinates of a (-7,5) and c(5,-1)

Now according to question

ab = 5bc

using distance formula

$\sqrt{(x+7)^2+(y-5)^2} =5\sqrt{(5-x)^2+(-1-y)^2}$

Solving we can get

$x=-\frac{-11+\sqrt{-4y^2-10y+25}}{2},\:x=\frac{\sqrt{-4y^2-10y+25}+11}{2}$ '

However, we do need either x or y coordinate of point b to find the other.

5 0

3 years ago