Answer:
$18 is the cost per ticket ordered
Step-by-step explanation:
We proceed as follows;
Let the cost per ticket be $x while the fixed fee be $y
For the person that ordered 5 tickets, we can have his mathematical representation as;
5(x) + y = 93 •••••••••(i)
For the person that ordered 3 tickets, we can have his mathematical representation as;
3(x) + y = 57 ••••••••(ii)
From the first equation, we can have;
y = 93 - 5x
Let’s plug this into ii
3x + 93 - 5x = 57
-2x = 57 -93
2x = 36
x = 36/2
x = $18
This means that the cost per ticket ordered is $18
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
San Antonio
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
(1)
Andra
(2)
Emily
(3)
a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is, .
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
Answer:
25
Step-by-step explanation:
Find factors of:
25: 1, 5, 25
50: 1, 2, 5, 10, 25, 50
100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Reduce possibilities to only <u>common</u> factors
25: 1, 5, 25
50: 1, 5, 25
100: 1, 5, 25
The greatest of these factors is 25
Greatest Common Factor (GCF) = 25
Hope this helps :)
Answer:
The discrimant of this equation is 144.
Step-by-step explanation:
First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :
9x² + 14x + 13 = 8x²
9x² + 14x + 13 - 8x² = 8x² - 8x²
x² + 14x + 13 = 0
It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :
x² + 14x + 13 = 0
D = b² - 4ac
= 14² - 4(1)(13)
= 196 - 52
= 144