Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is 
Answer: There are 32 students who like brussels sprouts but dislike beans.
Step-by-step explanation:
Since we have given that
Number of students eat in the cafeteria = 120
Fraction dislike lime beans = 
Fraction who dislike lime beans and brussles sprouts both = 
Fraction who dislikes lime beans but not brussles is given by
So, Number of students who like brussels sprouts but dislike lima beans is given by
Hence, there are 32 students who like brussels sprouts but dislike beans.
Answer:
(0, -14)
Step-by-step explanation:
The y intercept of the graph of the function is at (0, -14)
In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).
We can also find the y intercept by setting x equal to 0, then solving for y.
Substitute 0 for x:
y = -7x - 14
y = -7(0) - 14
y = 0 - 14
y = -14
So, the y intercept is at (0, -14)
Terminating decimal:
-0.45
Repeating decimal:
-2/9 = -0.22222222... or -0.2 with an overline over the 2(that's how you notate a repeating decimal)
Answer:
465
Step-by-step explanation:
Let the number of girls at the festival be--------- g
Let the number of boys at the festival be---------b
The conditions are;
2/7 g = 3/5 b ---------------(i)
g-b= 165 ---------------------(ii)---------make g the subject of the expression
g= 165 +b---------------------(iii)--------use this equation in (i)
2/7 (165 +b)= 3/5 b -------multiply both sides by 7
7*2/7(165+b) =3/5*7 b
2(165+b)=21/5 b ------multiply both sides by 5
5*2(165+b) = 21/5*5*b
10(165+b) = 21 b -------open brackets
1650 +10 b = 21 b------collect like terms
1650 = 21 b- 10 b
1650 = 11 b -----divide both sides by 11
1650/11 = 11b/11
150 = b = number of boys
Using equation (ii) where g-b =165 ; g-150 =165 , g= 165+150 =315 number of girls
Total number of children at the festival = 150+315 =465
