61:
I think thats what it would be
Answer:
X>3
Step-by-step explanation:
X+9<4X
x-x+9<4x-x
9<3x
3<x
Answer:
1 / 31
Step-by-step explanation:
Given that:
Yellow (y) ; Blue (b) ; Green (g)
b = 5y
g = 5b
Assume :
Number of yellow cube = 1
y = 1
b = 5
g = 5*5 = 25
Probability = (required outcome / number of total possible outcomes)
P( picking a yellow) = number of yellow / total number of cubes
Total number of balls = (1 + 5 + 25) = 31
P(picking a yellow) = 1 / 31
Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)
Answer:
Let's define:
A = # of students in group A
B = # of students in group B
C = # of students in group C.
"The total number of students who could attend a field trip is represented by the variable t."
This can be written as:
A + B + C = t.
"The number of students in Group A is less than the number in Group B."
Here we have a strictly "less than", then this is written as:
A < B.
"Group A has 6 students more than 1/4 the total number of students"
A = t/4 + 6
"Group B has 3 less than the total number of students"
B = t - 3.
Then we have the equations:
A + B + C = t.
A = t/4 + 6
B = t - 3.
A < B.
We could replace the second and third equatio in the fourth one, to get:
t/4 + 6 < t - 3.
t/4 + 9 < t
9 < t - t/4
9 < t*(4/4 - 1/4)
9 < t*(3/4)
(4/3)*9 < t
12 < t.
Then we found an inequality that defines the minimum possible value of t,
