Answer:
84 different lineups are possible
Step-by-step explanation:
The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
6 musics from a set of 9. So
84 different lineups are possible
Answer:
The question is asking which combinations of make different types of equations. y=2x^2 makes a quadratic equation, y=-4x+1 makes a linear equation, and y=1 makes a horizontal line
Answer:
Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.
Step-by-step explanation:
Given:
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.
If the total trip to the park took 7 hours and it was 52 miles away.
Now, to find the time Julio travel at each speed.
The speed travelled by the bike = 8 mph.
The speed travelled by the walking = 7 mph.
Let the time Julio travel with bike be
And the time Julio travel by walking be
As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,
Thus, the total time taken:
So, the distance travelled by bike:
Speed × time
And, the distance travelled by walking:
Speed × time
Now, the total distance travelled by Julio:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 49 we get:</em>
<em>The time Julio travelled with bike = 3 hours.</em>
Now, to get the time Julio travelled by walking by substituting the value of :
<em>The time Julio travelled by walking = 4 hours.</em>
Therefore, Julio travel 3 hours by biking and 4 hours by walking.
