Answer:
I cant see the image it doesnt seem to be loading but here is how to do the problem-->.
Add both the x coordinates and divide by 2 (this is the new x coordinate for the midpt)
next:
Add both y coordinates and divide by 2(this is the new y coordinate for the midpt)
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
First equation:
5(x+1)=20 —— distribute the 5 to the x and 1
5x+5=20 ——- subtract 5 from 20
5x=15 ———— divide by 5 from both sides
X=3 ————— answer
Second equation:
5x+1=20——— subtract 1 from 20
5x=19 ———— divide by 5 from both sides
X=19/5———— answer in fraction form
X=3.8————- answer in decimal form
Consider the suggested option:
1) if in 20 gr. of 50% solution given, then pure salt in this mix is 0.5*20=10 gr., and pure water is 0.5*20=10 gr.
2) after Maya added 5 gr. pure salt is 10+5=15 gr. Total mass of mix is 15(pure salt)+10(pure water)=25 gr.
3) new solution is 15/25=0.6 or 60%.
Answer: 25 gr. of 60% salt solution.
P=45,000−1,000mspace, P, equals, 45, comma, 000, minus, 1, comma, 000, mPeople start to leave the stadium at the end of a footba
nexus9112 [7]
Answer:
45,000 people
Step-by-step explanation:
Let
P -----> the number of people, that are left in the stadium
M ----> the time in minutes
we have
This is a linear equation in slope intercept form
where
The slope is
----> is negative because is a decreasing function
The P-intercept is
Remember that the P-intercept is the value of P when the value of M is equal to zero
That means
For M=0 min
P=45,000 people (number of people that were present when the game ended but before people started to leave)
