Answer:
16 lamps
Step-by-step explanation:
we know that
96 lamps represent the 100%
so
using proportion
Find out how many lamps represent 16 2/3%
but first convert to an improper fraction
![16\frac{2}{3}\%=\frac{16*3+2}{3}=\frac{50}{3}\%](https://tex.z-dn.net/?f=16%5Cfrac%7B2%7D%7B3%7D%5C%25%3D%5Cfrac%7B16%2A3%2B2%7D%7B3%7D%3D%5Cfrac%7B50%7D%7B3%7D%5C%25)
Apply proportion
![\frac{96}{100\%}=\frac{x}{\frac{50}{3}\%} \\\\x= (\frac{50}{3})(96)/100\\\\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B96%7D%7B100%5C%25%7D%3D%5Cfrac%7Bx%7D%7B%5Cfrac%7B50%7D%7B3%7D%5C%25%7D%20%5C%5C%5C%5Cx%3D%20%28%5Cfrac%7B50%7D%7B3%7D%29%2896%29%2F100%5C%5C%5C%5Cx%3D16)
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let y represent the ice sheet's thickness ( in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks.
Answer:
y = 2 - 0.25x
Step-by-step explanation:
From the question, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet reduced to 1.25 meters
Hence, the difference in the thickness in 3 weeks is calculated as:
2m - 1.25m = 0.75m
The amount of changes that occurred in 3 weeks is given as:
= 0.75/3 = 0.25 meters,
We are told that, the ice is melting with the constant rate.
Therefore, the equation for the relationship between the thickness and number of weeks is given as:
y = 2 - 0.25x
Answer:
A. ![-7i-j](https://tex.z-dn.net/?f=-7i-j)
Step-by-step explanation:
To find the position vector, subtract the initial point vector P from the terminal point vector Q.
Answer:
(0,-5)
Step-by-step explanation:
Hope this helps :)
Answer:
8.87
Step-by-step explanation:
The square means "right angle"
![\sin(\alpha ) = \frac{x}{13} \\ \\ \sin(43) = \frac{ x }{13} \\ \\ x = \sin(43) \times 13 \\ x = 8.86597868081 \\ x = 8.87](https://tex.z-dn.net/?f=%20%5Csin%28%5Calpha%20%29%20%20%3D%20%20%5Cfrac%7Bx%7D%7B13%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Csin%2843%29%20%20%3D%20%20%5Cfrac%7B%20x%20%7D%7B13%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Csin%2843%29%20%20%5Ctimes%2013%20%5C%5C%20x%20%3D%208.86597868081%20%5C%5C%20x%20%3D%208.87)