Please I think the question is not complete
Answer:
A is the correct answer
Step-by-step explanation:
Mathematically if we have lengths a, b and c
For a triangle to occur, let us say that the third side is c
then a + b must be greater than or equal to c
Hence c must be equal to (4 + 8) or greater than (4 + 8)
With the options given , A is the correct answer
Answer:
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Liters of 60% acid solution needed = 10
x = Number of liters of the 50% solution
y = Number of liters of the 90% solution
2. Which equation represents the total liters of acid that are needed?
There are two equations needed:
The first one related to the total liters needed, 10 in this case:
x + y = 10
The second one related to the acid concentration of the 10 liters:
0.5x + 0.9y = 10 * 0.6
0.5x + 0.9y = 6
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Solving for x and y in the 2nd equation, we have:
0.5 (10 - y) + 0.9y = 6
5 - 0.5y + 0.9y = 6
0.4y = 6 - 5
0.4y = 1
y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)
The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.
Correct is A through C,, so B. Just took the quiz
Answer:
Some k's that will work:
1/2
1/3
1/4
(There are infinitely many answers.)
Step-by-step explanation:
Obviously 5 won't work because 25<5 is not true.
What about a negative? -5?
25<-5 is not true.
How about 1/3? 1/9<1/3 is true so 1/3 works.
Note: Think of a number between 0 and 1.
1/4<1/2 is true and (1/2)^2=1/4.
1/16<1/4 is true and (1/4)^2=1/16.
You can solve k^2<k.
Subtract k on both sides.
k^2-k<0
Factor.
k(k-1)<0.
So k^2-k is a parabola with x-intercepts (k-intercepts) at k=0 and k=1.
The parabola is open up so any number between 0 and 1 will satisfy k^2<k since between 0 and 1 the parabola is less than y=0 ( the x-axis).
