Ruiz would get back 55 dollars 0 cents
Answer:
∅
Step-by-step explanation:
The solution to the system of equations is the points of intersection of the 2 graphs.
Since the 2 graphs have no points of intersection there is no solution.
This is represented by the empty set ∅
Answer:
50% of rolling an even number.
33.33% of rolling a number greater than 4.
Step-by-step explanation:
<h2><em>Even Number Probability: </em></h2>
There're three possibilities to roll an even number: 2, 4, and 6. If it's a six sided dice, there're a total of six rolling possibilities, so the ratio is 3:6, 1:2, or 50% chance of rolling an even number.
<h2><em>
Greater Than Four Probability:</em></h2>
There're only two number greater than four on a traditional six sided dice: 5 and 6. There're, again, six sides on a six sided dice, so the ratio of rolling a number greater than four is 2:6, 1:3, or 33.33%.
Answer:
x = 18 , y = 45
Step-by-step explanation:
The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.
Same- side interior angles sum to 180° , then
6x + 7 + 4x - 7 = 180 , that is
10x = 180 ( divide both sides by 10 )
x = 18
Then
6x + 7 = 6(18) + 7 = 108 + 7 = 115
6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so
3y - 20 = 115 ( add 20 to both sides )
3y = 135 ( divide both sides by 3 )
y = 45
Answer:
5/2
Step-by-step explanation:
