Answer:
Step-by-step explanation:
discriminant=5²-4×1×7=25-28=-3<0
no real number solution.
1*n-10 = (5/6)*n-((1/3)*n)-7 // - (5/6)*n-((1/3)*n)-7
1*n-((5/6)*n)+(1/3)*n-10+7 = 0
n+(-5/6)*n+(1/3)*n-10+7 = 0
1/2*n-3 = 0 // + 3
1/2*n = 3 // : 1/2
n = 3/1/2
n = 6
That's just in case you had to show your work lol^^
Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So

They can make 10 different groups of three.
Answer:
x + 1/4
Step-by-step explanation:
You can cross multiply to find the answer. Start by setting up your equation:
45/30 = 60/x (30 represents half an hour)
Next, cross multiply, 45 times x, and 60 times 30:
45x = 1800 you must isolate the "x" value by using the opposite operation it is involved in. Here we have 45x (x is multiplied to 45) so we must divide 45, which will cancel itself out, leaving us with "x."
What you do on one side of the equation, you must do on the other, so divide 1800 by 45 as well, which will leave you with 40.
Working it out on paper, your equation should now look like this: x=40, which represents the amount of time it will take to fill a 60 gallon tube.
Answer: It will take 40 minutes to fill a 60 gallon tube.