Answer:
The usually speed of the bus is 50 miles/h.
Step-by-step explanation:
Let the usual speed of the bus be x mile/hour.
We know that
The bus travels 200 miles.
To reach its destination it takes time 
h
This week however the bus leaves at 5:40.
The bus late 40 minutes 
Now the speed of the bus is = (x+10) miles/h
The new time to reach the destination is 
h
According to the problem,
![\Rightarrow 200[\frac{x+10-x}{x(x+10)}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7Bx%2B10-x%7D%7Bx%28x%2B10%29%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
![\Rightarrow 200[\frac{10}{x^2+10x}]=\frac{2}{3}](https://tex.z-dn.net/?f=%5CRightarrow%20200%5B%5Cfrac%7B10%7D%7Bx%5E2%2B10x%7D%5D%3D%5Cfrac%7B2%7D%7B3%7D)
⇒2(x²+10x)=200×10×3
⇒x²+10x = 3000
⇒x²+10x -3000=0
⇒x²+60x-50x-3000=0
⇒x(x+60)-50(x+60)=0
⇒(x+60)(x-50)=0
⇒x= -60,50
∴x=50 [since speed does not negative]
The usually speed of the bus is 50 miles/h.
(2,2)
Step-by-step explanation:
You have to add them together and minus the negatives
We have the equation for company 1: y = 3x + 5. That means it costs $3 to rent a movie with a $5 fee no matter how many movies you rent. It would benefit us to have the equation for company 2, so we need to find it using 2 points on the line. I picked the points (2,14) and (0,12). Find the slope of this by using the slope formula:
which gives us a slope of 1. Now we can use that slope and the slope-intercept form of a line to find the y-intercept, which serves as the fee for renting from company 2. 14=1(2)+b and 14 = 2 + b and b = 12. The equation then for company 2 is y=1x+12. This means it costs $1 to rent movies, but your fee to rent, no matter how many movies you pick, is $12. The "rate of change" in the choices refers to the slope. The slope in company 1's equation is 3 and the slope in company 2's equation is 1. The best description is the first choice that says "There is a higher rate of change at Company 1".
Answer:
the answer is one over eight
the formula says required outcome divided by sample space
the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails
9514 1404 393
Answer:
area = x(3x +10)
Step-by-step explanation:
The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.
horizontal unmarked = (2x+15) -x = x +15
vertical unmarked = (2x -5) -(x -5) = x
The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.
The whole area is ...
x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)
