Answer: 3x+8y=100
x+y=20
x=12
y=8
Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))
Answer:
Step-by-step explanation:
Similar figures have the same shape but the same size.
Moving from left to right:
The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.
The second figure is not similar because of shape
The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7
The fourth figure is similar because it is rotated
The fifth figure is not similar because of shape
The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7
Well, we can set up these equations like this-
Deborah- 2+3w
Kai- 12+2w
w=number of weeks that pass
Now, we set them equal to each other:
2+3w=12+2w
Solve for w
2-12=2w-3w
-10 = -1w
w = 10
10 weeks. Hope this helped!
Answer:
Step-by-step explanation:
All the sides are complete, hence we can use the information given to find just 1 triangle
Triangles
From the given information, we have that:
m<B = pi/6 = 30 degres
c = 10
b = 5
This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle
Answer:
Step-by-step explanation:
well you start at origin 0 because there is no y-intercept so you would do rise over run up 1 over 4, 1/4 is your slope