The amount of change he’ll receive is $4.416
Answer:
Yes
Step-by-step explanation:
Plug in the coordinate (5,9) into the equation
9=3(5)-6
9=15-6
9=9
Answer:
Step-by-step explanation:
Give the ratio of red to green to blue marbles to be 3:5:7
Total ratio = 3+5+7 = 15
Total marbles = 600marbles
Amount of red = ratio of red/total ratio × 600
Amount of red marbles = 3/15 × 600
Amount of red marbles = 3×40 = 120marbles
Amount of green marbles = 5/15×600
Amount of green marbles = 5×40 = 200marbles
Amount of blue marbles = 7/15×600
Amount of blue marbles = 7×40 = 280marbles
Answer:
2(x + 2)² - 5
Step-by-step explanation:
Given
2x² + 8x + 3
To obtain the required form use the method of completing the square.
The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x
= 2(x² + 4x) + 3
add/subtract ( half the coefficient of the x- term)² to x² + 4x
= 2(x² + 2(2)x + 4 - 4) + 3
= 2(x + 2)² - 8 + 3
= 2(x + 2)² - 5
with p = 2 and q = - 5
The probability that a student participates in both sports and music is 108/1376
<u>Explanation:</u>
Let x be the number of students participating in both sports and music
According to the question:
P(A or B) = P(A) + P(B) - P(A and B)
P(sports or music) = P(sports) + P(music) - P(sports and music)
P(sports and music) = 
Therefore, the probability that a student participates in both sports and music is 108/1376
