To get this answer basically you have to play with the numbers, till you find ones that match. It may get irritating but if you keep trying you'll eventually find the right ones.
So...
If he is only able to purchase $450.00 worth of gift cards, and a total of 15,
begin by.

Doing simple math.
Take
$50.00 * 5 (You know he can purchase one 50 card for sure because of the $50. in $450
$50.00 * 5 = $250.00
Next take 15-5 = 10 (Amount of gift cards left to purchase)
Finally Take $20 * 10 = $200

When you add your restaurant give card and movie gift card amount you will receive the answer of $450.00 (to double check your answer)

When you add 5 + 10 you will receive the answer of 15 (to check the amount he has to purchase)

The correct answer would be
Mr. Thomas can purchase a total of 5 restaurant gift cards and 10 movie gift cards to give to his employees.

3 0

4 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

katrin2010 [14]

Greetings and Happy Holidays!

1) Perpendicular to $-x+5y=14$
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and $\frac{-1}{5}$

First, rearrange the equation into slope y-intercept form:
$-x+5y=14$

$5y=x+14$

$\frac{5y}{5}=\frac{x+14}{5}$

$y=\frac{1}{5}x+\frac{14}{5}$

The slope of the equation is: \frac{1}{5}

The negative reciprocal formula: $(m_{1})(m_{2})=-1$

Solve for the negative reciprocal:
$\frac{1}{5}m_{2}=-1$

Divide both sides by $\frac{1}{5}$
$\frac{\frac{1}{5}m_{2} }{ \frac{1}{5}} = \frac{-1}{ \frac{1}{5}}$

$m_{2}=(-1)(\frac{5}{1})$

$m_{2}=(\frac{-5}{1})$

$m_{2}=-5$

The slope of the new line is: -5

2) Passes through (-5,-2)

Create an equation with the slope discovered in slope y-intercept form.
$y=-5x+b$

Input the point the line passes through.
$(-2)=-5(-5)+b$

Solve for b (the y-intercept).
$-2=-5(-5)+b$

Multiply.
$-2=25+b$

Add -25 to both sides.
$(-2)+(-25)=b$

$-27=b$

The y-intercept is equal to -27

The Equation of the line is:
$y=-5x-27$

I hope this helped!
-Benjamin

6 0

4 years ago

What is the slope of the line through the points (–3, 5) and (4, 5)?

kicyunya [14]

The slope is 0.
Using the formula (y2-y1) / (x2-x1), we wee that when subtracting y2 from y1 we get zero in the numerator and 7 in the denominator.

0/7 = 0

Another way to determine this is by plotting the two points and seeing that they form a horizontal line, indicating that there is a slope of 0.

6 0

3 years ago