Answer:
There are 12 male teachers.
Step-by-step explanation:
Ratio of male teachers to female teachers in a school is 1 to 5.
For every 1 male teacher, there is one female teacher.
There are 60 female teachers.
Divide 60 by 5 = 12.
12 times 1 = 12
There are 12 male teachers.
Answer:
See graph below for answer
Step-by-step explanation:
Step 1) Change to y-intercept form
6y = 2x - 12
y = 1/3x - 2
Step 2) Graph.
See graph below for answer
Answer:
15 hip hop performances
12 ballet performances
Step-by-step explanation:
5:4 (multiply by 3)
15:12
Answer:
(see image)
bottom right image
Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9 3(0) ≥ (0) - 9
3 ≥ - 9
yes 3x + y > - 3 3(0) + (0) > - 3
3 > - 3
yes so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5
yes3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3
yesSo the graph is the bottom right one since (4, 2) is included in that shaded region.
Answer:
60 marbles in total
Step-by-step explanation:
Find how many marbles there are in total by dividing 42 by 0.7:
42/0.7
= 60
So, there are 60 marbles in total