Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
Answer:
i need to see all the problem
Answer:
The slope in simplest form is
![- \frac{1}{2}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Step-by-step explanation:
Remember:
![slope \: = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=slope%20%5C%3A%20%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
We just plug in and solve.
![slope = \frac{ - 2 - ( - 3)}{ - 5 - ( - 3)} = \frac{ \: \: 1}{ - 2} = - \frac{1}{2}](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B%20-%202%20-%20%28%20-%203%29%7D%7B%20-%205%20-%20%28%20-%203%29%7D%20%20%3D%20%20%5Cfrac%7B%20%5C%3A%20%20%5C%3A%201%7D%7B%20-%202%7D%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%20)