Answer:
C. 120 students
Step-by-step explanation:
10 + 15 + 20 +30 = 75%
100 - 75 = 25%
25% chose football which is 100 students
30% chose swimming
setup proportion:
25/100 = 30/x
25x = 100(30)
25x = 3000
x = 120
Answer:
(2, 1)
Step-by-step explanation:
The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:
3(-9x + 2y = -16)--> -27x + 6y = -48
-2(19x + 3y = 41)--> -38x - 6y = -82
Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:
-65x = -130 so
x = 2
Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:
19(2) + 3y = 41 so
38 + 3y = 41 and
3y = 3. Therefore,
y = 1
The solution set then is (2, 1)
Let's say the first truck weighs x tons
Then, the weight of 2nd truck = x+2 tons
The weight of 3rd truck = (x + 2) + 2 = x+4 tons
The weight of 4th truck = (x + 4) + 2 = x+6 tons
Total weight of 4 trucks:
x + (x+2) + (x+4) + (x+6) = 32
which can be solved easily to give x = 5
Answer:
<h2>12</h2>
Step-by-step explanation:
Hi!
Here is your answer,
I will explain in step by step,

Here we can simplify this further using this law,

So we will get,

Since the powers are same we can cancel it out and we will get,

(Hope this answer helped :))
Answer:
The answer is 80 because 10x8 is 80 and the nearest 10 means it need to have a 0 behind so it is 80