30% of 20 is equal to 6 so your answer would be 6.
If there are 3 liters of 50% acid solution, there must be 1.5 liters of pure acid and 1.5 liters of another liquid.
As it is, 1.5/x = 1/2, where x = total liters of both liquids (here, 3). We use 1.5 because that's how much we have of the other liquid.
If we set 1.5/x = 1/4, x = 6. This is 3 liters more than our original solution, and we only added pure acid.
Our answer is 3 liters of pure acid.
Answer:
2. A, the first option
3. A, first option
Step-by-step explanation:
A segment is the part of a line that connects two points. It is the shortest distance between the two points. It has a length.
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray. A ray is named using its endpoint first, and then any other point on the ray
I hope this helps!!! Have a wonderful day!!!
Answer:
p = 5/7
Step-by-step explanation:
The given function is:
for -4 ≦ x < 1
for 1 ≦ x ≦ 5
Part a)
A continuous function has no breaks, jumps or holes in it. So, in order for g(x) to be continuous, the point where g(x) stops during the first interval -4 ≦ x < 1 must be equal to the point where g(x) starts in the second interval 1 ≦ x ≦ 5
The point where, g(x) stops during the first interval is at x = 1, which will be:

The point where g(x) starts during the second interval is:

For the function to be continuous, these two points must be equal. Setting them equal, we get:
3 = 7p - 2
3 + 2 = 7p
p = 
Thus the value of p for which g(x) will be continuous is
.
Part b)
We have to find p by setting the two pieces equal to each other. So, we get the equation as:

Substituting the point identified in part (a) i.e. x=1, we get:

This value agrees with the answer found in previous part.
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