Answer: for 9 attendees it would cost $18
Step-by-step explanation: First you have to find the unit rate. So for every 7 attendees it costs $14, divide them both by the GCF which is 7. 14÷7=2
7÷7=1
So for every 1 attendee it is $2.
Now to figure out how much it would cost for 9 attendees, figure out what you have to do to 1 to get 9. Multiply it by 9.
And whatever you do to one number you have to do for the other. So $2 • 9 = $18
So for every 9 attendees it costs $18.
If you would like to solve the equation 3 * (3 * x - 1) + 2 * (3 - x) = 0, you can calculate this using the following steps:
3 * (3 * x - 1) + 2 * (3 - x) = 0
3 * 3 * x - 3 * 1 + 2 * 3 - 2 * x = 0
9 * x - 3 + 6 - 2 * x = 0
7 * x + 3 = 0
7 * x = - 3 /7
x = - 3/7
The correct result would be - 3/7.
Answer:
The length of rectangular is increasing at a rate 0.5714 meters per hour.
Step-by-step explanation:
We are given the following in the question:
Initial dimensions of rectangular box:
Length,l = 10 m
Width,w = 7 m
![\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdt%7D%20%3D%208%5Ctext%7B%20square%20meters%20per%20hour%7D%5C%5C%5C%5C%5Cdfrac%7Bdw%7D%7Bdt%7D%20%3D%2040%5Ctext%7B%20centimeters%20per%20hour%7D%20%3D0.4%5Ctext%7B%20meters%20per%20hour%7D)
We have to find the rate of increase of length.
Area of rectangle =
![A = l\times w](https://tex.z-dn.net/?f=A%20%3D%20l%5Ctimes%20w)
Differentiating we get,
![\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bdl%7D%7Bdt%7Dw%20%2B%20%5Cfrac%7Bdw%7D%7Bdt%7Dl)
Putting values, we get,
![8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714](https://tex.z-dn.net/?f=8%20%3D%20%5Cdfrac%7Bdl%7D%7Bdt%7D%287%29%20%2B%20%280.4%29%2810%29%5C%5C%5C%5C%5Cdfrac%7Bdl%7D%7Bdt%7D%287%29%20%3D%208%20-4%5C%5C%5C%5C%5Cdfrac%7Bdl%7D%7Bdt%7D%20%5Capprox%200.5714)
Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.
Answer:
4800 miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope =(x2-x1/y2-y1)
=(3-7/2+3)
-4/5
slope =-4/5