Answer: 20%
Step-by-step explanation:
The 150 students in the marching band and 30 of the students play the trumpet. To get the percentage of students that play the trumpet, we divide 30 by 150 and then multiply by 100. This can be written as:
= 30/150 × 100
= 0.2 × 100
= 20%
The percentage of students that play the trumpet is 20%
Answer: Abraham could run 8 miles each day for 3 days and get 24. He could run 6 miles each day for 4 days and get 24.
Abraham can run 10 miles each day for 3 days and get 30 or he could run 7.5 miles a day for 4 days and get 30.
Not sure if this is the answer it wants or not
Step-by-step explanation:
Just graph it and see if the descriptions fit the graph
(see attached)
A. We can see from the graph that the possible x-values are -∞ ≤ x ≤ +∞ . Hence limiting to domain to x≤ -2 this is obviously not true.
B. We can see from the graph that the vertex is y = 6 and that the entirety of the graph is under this point, hence range y<6 is true
C. We can see that the vertex is located at x=-2. Every part of the graph to the left of this point has a positive slope, hence the function is increasing for negative infinity to this point x=-2 is true
D) We can see that for the interval -4<x<∞, the graph actually increases between -4<x<-2, and then decreases after that. Hence this statement is not true.
E. it is obvious that the y intercept is y=2 which is positive. Hence this is true.
Answer:
x∈R
Step-by-step explanation:
2(3x+4)=6x+8
Use the distributive property to multiply 2 by 3x+4.
6x+8=6x+8
Subtract 6x from both sides.
6x+8−6x=8
Combine 6x and −6x to get 0.
8=8
Compare 8 and 8.
True
This is true for any x.
x∈R
Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So,
........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So,
........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)