Answer:
View Image
Step-by-step explanation:
4.
Solve for either of the variable. I solved for c because it looked easier.
Set c = 0 to solve for the x-intercept so that you can graph it. c is just your y-value in this case and m is your x-value.
I got m=90 which means it crosses the x-axis at 90. I also know it cross the y-axis at 90 because c = 90 - m is in the form of slope-intercept formula. The 90 in there is the y-intercept.
The sign is a > so it's a dotted line shaded above the graph.
5.
Same process as part 4. Set c=0 to find the x-intercept. I got m=100 which means it cross the x-axis at 100.
The y-intercept is in the equation itself c = 80 - 4/5m. The y-intercept is 80.
The sign is a ≥ so it's a solid line shaded above the graph.
Answer: 65.94
Step-by-step explanation:
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
Answer:
7,140
Step-by-step explanation:
Given the following :
Total Number of majors = 120
To obtain a double major, any to majors are combined) 2
Hence, maximum number of double majors available by obtaining 120C2.
Recall :
nCr = n! / (n-r)! r!
120C2 = 120!/(120-2)!2!
120! / 118! × 2!
= (120 × 119) / 2 * 1
= 14280 / 2
= 7140 ways.
Hence, there are a maximum of 7,140 ways of combining two majors