Answer:
y = 7.5
Step-by-step explanation:
given y is directly proportional to then the equation relating them is
y = k ← k is the constant of proportion
to find k use the condition y = 75 , x = 100 , then
75 = k
= 10k ( divide both sides by 10 )
7.5 = k
y = 7.5 ← equation of proportion
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48
Answer: 
Step-by-step explanation:
<u>Use trigonometry (shown in image below) to find the 3 side-lengths:</u>
- The side opposite of θ =
- The base side adjacent to θ = 11
- The hypotenuse = 12
<u>According to right triangle trigonometry:</u>
cos θ = 
<u>Substitute in the values:</u>
cos θ =
A ratio can be written in three different ways: 3 to 4, 3:4, and 3/4
What does this mean? It means that for every group of 7 students (3+4) there are 3 boys and 4 girls. And how many groups do we have? We have:
245/7= 35 We have 35 groups, and we just said that each group has 3 boys and 4 girls:
35*3= 105 boys
35*4= 140 girls
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#2. There are 10 tally marks for recess, and 7 for gym. Add 10 and 7 to get 17 friends.
#3. Corey sorts out his flowers. How many flowers did Corey sort?
#4. He has 16 friends. We are going to subtract the total amount of friends from responded friends. There are 6 friends coming, and 3 who are not, which is a total of 9. Subtract 9 from 16 to get 7. You can write this as 16-9=7
