Answer:
m = -4
Step-by-step explanation:
First, you should distribute -8 into m + 8 to get -8m - 64. Then, you should combine -4m and -8m together to get -12m as a result. Your equation should now be -24 - 2m = -12m - 64. Add 12 on both sides to get -24 + 10m = -64. Add 24 on both sides to get -40 on the right side. Finally, divide 10 on both sides to get your m value which is -4.
The question asks for the unit rate when 1/4 of a kilometer is covered in 1/3 of an hour.
Recall that rate is the quotient of two quantities. In our case the numerator is the distance (1/4) of a kilometer, and the denominator is the time: 1/3 of an hour.
So, we perform the following division of fractions:
1/4 diided by 1/3 which is the same as: 1/4 times 3/1 = 3/4
and since we are asked for the UNIT rate, we do the actual division:
The unit rate is 0.75 km per hour.
Answer:
Step-by-step explanation:
We have given that:
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp
Part A:
According to the above mentioned statement the function for representing the number of alligators and crocodiles in the swap throughout the year is:
Alligators = y=20(1.25)^x (x represents years)
crocodiles: y=10x+25
Part B:
Number of alligators after 4 years in the swap = y=20(1.25)^x
Number of alligators after 4 years in the swap = y=20(1.25)^4
Number of alligators after 4 years in the swap=48.82
This shows that about 48 to 49 alligators will be there in the swap after 4 year
Number of crocodiles after 4 years in the swap = y= 10(4)+25 = 65
Part C:
We will use the graph method to solve this part:
After approximately 7 years, the number of animals of each type will be the same, 95.