Answer:
6/35
Step-by-step explanation:
![\frac{2}{5} *\frac{3}{7} =\frac{2*3}{5*7} =\frac{6}{35}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20%2A%5Cfrac%7B3%7D%7B7%7D%20%3D%5Cfrac%7B2%2A3%7D%7B5%2A7%7D%20%3D%5Cfrac%7B6%7D%7B35%7D)
Answer:
y = -7/2x + 17/2
Step-by-step explanation:
Slope = (-9 - - 2)/(5 - 3)
= -7/2
y-intercept: -2 - (-7/2)(3)
= -2 + 21/2 (-2*2+21)/2
= 17/2
Answer:
Option D.
Step-by-step explanation:
It is given that a satellite is composed of 30 modular units. Each unit contains the same number of non-upgraded sensors.
Let x be the total number of upgraded sensors on the entire satellite.
The number of non-upgraded sensors on one unit is 1/5 the total number of upgraded sensors on the entire satellite.
Non-upgraded sensors on one unit = ![\frac{1}{5}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7Dx)
Non-upgraded sensors on 30 unit = ![30\times \frac{1}{5}x=6x](https://tex.z-dn.net/?f=30%5Ctimes%20%5Cfrac%7B1%7D%7B5%7Dx%3D6x)
Total number of sensors on the entire satellite is the sum of upgraded and non-upgraded sensors
![Total=x + 6x = 7x](https://tex.z-dn.net/?f=Total%3Dx%20%2B%206x%20%3D%207x)
We need to find the fraction of the sensors on the satellite have been upgraded.
![Fraction=\frac{\text{Upgraded sensors}}{\text{Total sensors}}](https://tex.z-dn.net/?f=Fraction%3D%5Cfrac%7B%5Ctext%7BUpgraded%20sensors%7D%7D%7B%5Ctext%7BTotal%20sensors%7D%7D)
![Fraction=\frac{x}{7x}](https://tex.z-dn.net/?f=Fraction%3D%5Cfrac%7Bx%7D%7B7x%7D)
![Fraction=\frac{1}{7}](https://tex.z-dn.net/?f=Fraction%3D%5Cfrac%7B1%7D%7B7%7D)
Therefore, the correct option is D.
The constant is the 480 added to the end .
Since the area of the gym is 4x^2 ft^2, the 480 is the area of the weight room.