Answer:
x = 5 and y = 6; that is the (5, 6) (x, y) pair.
Step-by-step explanation:
The graph shows two lines that cross at the point (5, 6) on the plane (see attached image).
This means that the point x=5 and y=6 belongs to both lines (is a solution for both equations representing the lines) and therefore this pair of values is the solution to both equations in the system.
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
Using the table, the slope is 1/2
Answer:
x = 30
Step-by-step explanation:
-2x + 10 +4x=70
-10 -10
-2x + 4x = 60
2x = 60
/2 /2
x = 30
Answer: 137.17 miles
Step-by-step explanation: To know the driven miles, we will have to find the extra money paid divided by the unitary price of each driven mile.
Extra money=$29.46-$25=$4.46
Miles=
=31.17 miles
However, this price per mile is only charged after 100 miles, therefore we will have to sum the extra miles driven and the 100 miles for the basis
Total=100 miles+31.17 miles=137.17
