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Let's solve this inequality.
First of all, let's move all the numbers to the right, using the 
:
Now, let's move the variables to the left:
Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.
Thus, there are no values of x that make the inequality true, and the inequality has
Hope you find it helpful.
Feel free to ask if you have any doubts.
Answer:
The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150
Step-by-step explanation:
Let
x ----> number of liters of 50% antifreeze solution
y ----> number of liters of 90% antifreeze solution
we know that
50%=50/100=0.50
90%=90/100=0.90
80%=80/100=0.80
x+y=200
x=200-y ------> equation A
0.50x+0.90y=0.8(200) -----> equation B
substitute equation A in equation B and solve for y
0.50(200-y)+0.90y=160
100-0.50y+0.90y=160
0.40y=160-100
0.40y=60
y=150 liters
Find the value of x
x=200-y
x=200-150=50 liters
therefore
The number of liters of 50% antifreeze solution is 50
The number of liters of 90% antifreeze solution is 150
Answer:
18/25
Step-by-step explanation:
If this answer helped you then please mark it as brainliest so I can get to the next rank
By using two arbitrary points on the line, we can find the slope using the slope formula:
We'll use the points (0, 4) and (5, 1) for this.
1 - 4 / 5 - 0
-3 / 5
The slope of the line is -3/5.
<span>M can have a coordinate of (-9) or (1)
There are potentially 3 different places for point M to go. It can be placed to the left of point A, between points A and B, and to the right of point B. Let's check those three possibilities.
1. Left of point A. This works if the distance between M and A is the same as the distance between A and B. So
distance between A and B = 6 - (-1.5) = 6 + 1.5 = 7.5
So the location for M would be
-1.5 - 7.5 = -9
So point M can have the value of -9.
2. Between A and B.
This would also work. Since we want a 1:2 ratio, place M one third of the way from A to B. Since we already know the distance between A and B to be 7.5, that means that we should add 7.5/3 = 2.5 to the value of A. So
-1.5 + 2.5 = 1
So point M can also have the value of 1.
3. To the right of point B
This won't work. Point B will always be closer to M than point A will be. So it's impossible to get a ratio of 1:2.</span>
