-16x+40 is the solution of this problem.
Answer:
x = 2 1/3
y = 14 / (2 1/3) = 14 / (7/3) = 14*3/7 = 42/7 = 6
y = 6
x = 4 1/5
y = 14 / (4 1/5) = 14 / (21/5) = 14*5/21 = 70/21 = 3 7/21 = 3 1/3
y = 3 1/3
x = 7/6
y = 14 / (7/6) = 14*6 / 7 = 12
y = 12
Step-by-step explanation:
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
(-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Step-by-step explanation:
Given the inequality
substituting (-1, -5) to check whether it satisfies the inequality or not
TRUE
Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.
From the attached figure, it is clear that (-1, -5) is below the line.
Therefore, the correct option is:
''Yes, because 1-1, 5) is on the line''.
Answer:
First score is 90
Step-by-step explanation:
Let A represent the first score
Let B represent the second score
Let C represent the third score
A+B+C=217 equation 1
If the first score A is 30 points more than the second,B
A=B-30 equation 2
Lastly,sum of A&B is 16 more than 2C
A+B=2C+16 equation 3
From equation 1
A+B=217-C equation 4
substitute for A+B in equation 3
217-C=2C+16
217-16=2C+C
201=3C
C=67
substituting C in equation 4
A+B=217-67
A+B=150
if the first score more than the first,then the first 90 while second 60 since A+B=150
