Answer:
2 , 3 ,4
Step-by-step explanation:
to find the right triangle use the pythagorian method
A^2+B^2= C^2
3x + 2y = 4
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2
x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2
When Kimai is making blankets for charity, the proper form of the unit rate is 4 hats per hour.
<h3>How to calculate the value?</h3>
From the information given, it was stated that Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour.
Therefore, the proper form of the unit rate will be:
= Amount of hats / Time
= 3/5 ÷ 1/8
= 3/5 × 8/1
= 4.8
Therefore, the proper rate will be 4 hats per hour.
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Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.
Step-by-step explanation:
Since we have given that
Total number of students and teachers = 409
Let the number of vans be x
Let the number of buses be x+5
Number of students and teachers each bus transported = 55
Number of students and teachers each van transported = 12
According to question,
![55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2](https://tex.z-dn.net/?f=55%28x%2B5%29%2B12x%3D409%5C%5C%5C%5C55x%2B275%2B12x%3D409%5C%5C%5C%5C67x%3D409-275%5C%5C%5C%5C67x%3D134%5C%5C%5C%5Cx%3D%5Cfrac%7B134%7D%7B67%7D%5C%5C%5C%5Cx%3D2)
Total number of students and teachers who rode to the zoo in buses will be
![55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385](https://tex.z-dn.net/?f=55%28x%2B5%29%5C%5C%5C%5C%3D55%282%2B5%29%5C%5C%5C%5C%3D55%5Ctimes%207%5C%5C%5C%5C%3D385)
Total number of students and teachers who rode to the zoo in vans will be
![12x\\\\=12\times 2=24](https://tex.z-dn.net/?f=12x%5C%5C%5C%5C%3D12%5Ctimes%202%3D24)
Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.