Answer: 12x-4, 14 counters, 8 more counters
Step-by-step explanation: There are 2x yellow, 4x+6 red, and 6x-10 blue counters. We need to add all of this up to get the total number of counters. We first add the x's : 2x+4x+6x = 12x. Then we add the numbers. 6+ (-10) is -4. So, our expression is 12x-4. Next, we need to find out how many blue counters are in the bag. We know that there are 44 total counters and we need to find x because all the counters have x in them. 12x-4 = 44. We first add 4 to both sides to get 12x= 48 and x = 4. blue has 6x-10 counters so, blue has 24-10 = 14 counters. Red has 16+6 = 22 counters. 22-14 = 8 more counters
M=3
You would begin by cross multiplying and then solving it from there:
5(m-3)=4(m-3)
5m-15=4m-12
5m-4m=-12+15
m=3
Solution :
Equation for Malcom's family travels after t hours is d = 65 t
From the graph, equation for Theo's family travels after travels after t hours is


For Malcom's family, speed
= 65 miles per hour
For Theo's family, speed
= 50 miles per hour
Malcom's family traveled faster than Theo's family by
= (65-50) miles per hour
= 15 miles per hour
So,
3x + 14 + 3x + 10
Let's put the placeholders together to make it simpler.
3x + 3x + 14 + 10
Collect Like Terms
6x + 24
This is simplified.
Option D, when multiplied, gives 6x + 24. So that is the correct option.