Answer:
find common denominator
1/5
2/3
common denominator is 15
convert 2/3 into a fraction with a denominator of 15
1/5 —> 3/15
2/3 —> multipky numerator and denominator by 5 —> 10/15 (toddlers)
infants = total - toddlers - preschoolers
infants = 15/15 - 10/15 - 3/15 = 2/15
multipky the fractions by 60 (the total number of students) to find for the number in each age group
(10/15)*60 = 40
(3/15)*60 = 12
(2/15)*60 = 8
Answer:
5.76 inches. You can round this if you want.
Step-by-step explanation:
14.4 divide by 2 is 5.76
I believe it would be A 0to 5
Answer:
No real solution exists.
Step-by-step explanation:
Hi there!
We have the following system of equations:
3x² + 3y² = 6
x-y = 3
Let´s take the second equation and rewrite it:
x-y = 3
-y = 3 -x
y = x - 3
Now, let´s replace y in the first equation and solve for x:
3x² + 3(x-3)² = 6
divide by 3 both sides of the equation
x² + (x-3)² = 2
x² + (x-3)(x-3) = 2
x² + x² -6x + 9 = 2
2x² - 6x + 9 = 2
subtract 2 from both sides
2x² - 6x +7 = 0
Now, let´s apply the quadratic formula to solve this quadratic equation:
(-b±√(b² - 4ac))/2a
a = 2
b = -6
c = 7
(6±√(36 - 4·2·7))/ 4
Since the term inside the root is negative (36 - 4·2·7 = -20), the quadratic equation has no real solution.
Then, the system has no real solution.
Graphically, you can see that both curves don´t intersect.
Have a nice day!
Answer:
416
Step-by-step explanation: