You have a coupon good for $5 off the price of any large pizza. You also get a 15% discount on any pizza if you show your student ID. How much more would you pay for a large pizza if the cashier applies the coupon first?

Answers

Answer 1
Answer: Below is the solution for the problem above:

Given: 
Let x be the price of the pizza 
$5 for the coupon 
15% discount 

Solution 
x is the price of the pizza. If coupon is applied before:
 (x-5)0.85=0.85x-0.85*5
 
if it is applied after: 0.85x-5
 
Therefore, the difference between the two is 0.15*5=0.75

The answer is USD 0.75

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Solve the system of equations; x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

y=(28)/(11)
x=(3)/(11)

Working;
Start by forming a matrix as shown below;
\left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] ( \left[\begin{array}{ccc}x\ny\end{array}\right])= ( \left[\begin{array}{ccc}2\n9\end{array}\right])

Step II
Finding the inverse of the matrix as shown below;
Determinant;
(1*5)-(3*(-2)=11
Inverse;
(1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}1&-2\n3&5\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right]= (1)/(11) \left[\begin{array}{ccc}5&2\n-3&1\end{array}\right] \left[\begin{array}{ccc}2\n9\end{array}\right]

Evaluating further;
(1)/(11) \left[\begin{array}{ccc}11&0\n0&11\end{array}\right] \left[\begin{array}{ccc}x\ny\end{array}\right] = (1)/(11) \left[\begin{array}{ccc}28\n3\end{array}\right]

x=(28)/(11) and y = (3)/(11)

Pablo drove 23.1 miles to his aunt’s house, then drove 19.24 miles to his friend’s house. Which estimate can Pablo use to determine the distance he drove altogether?

Answers

Answer:

I think the answer is 42.

Step-by-step explanation:

I estimated 23.1 to 23 miles then I estimated 19.24 to 24 and added 23+19=42. But I don't know if that is correct because there was no specification if we round to the whole number.

Find the slope for y = -x - 5 in slope intercept form

Answers

Answer:

Use the slope-intercept form to find the slope and y-intercept.

Slope: −1   y-intercept: (0,−5)

Step-by-step explanation:

How many real-number solutions does the equation have? 1. –7x² + 6x + 3 = 0
a.one solution
b.two solutions
c.no solutions
d.infinitely many solutions

2.–8x² – 8x – 2 = 0
a.one solution
b.two solutions
c.no solutions
d. infinitely many solutions

Answers

If the discriminant is negative no real solution exists.
If the discriminant is equal to 0 only one real solution exists.
If the discriminant is positive 2 real solutions exist.
The discriminant:
D = b² - 4 a c
1 ) - 7 x² + 6 x + 3 = 0
D = 6² - 4 · ( - 7 ) · 3 = 36 + 84 = 120  > 0
Answer: b) two solutions
2 ) - 8 x² - 8 x - 2 = 0
D = ( - 8 )² - 4 · ( - 8 ) · ( - 2 ) = 64 - 64 = 0
Answer: a ) one solution

I need my homework done in about the next hour. i just need someone to find X

Answers

Answer: x=62

Step-by-step explanation: Using the definition of supplementary angles, 118+x=180, or 180-118=x. This is because a straight line is 180 degrees.

In which quadrant is the abscissa positive and the ordinate negative? A) I
B) II
C) III
D) IV

Answers

Answer:

Quadrant IV.

Step-by-step explanation:

Abscissa is the value of the x coordinate while ordinate is the y coordinate. In quadrant I, the ordered pair is (positive abscissa, positive ordinate.

Quadrant II has negative abscissa and positive ordinate.

Quadrant III is both negative abscissa and negative ordinate.

Lastly, Quadrant IV has positive abscissa and negative ordinate.