Answer:
Relationship between distance and time in simplified form as a unit rate is; ![\frac{47}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B47%7D%7B1%7D)
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity of 1, such as 5 feet per second or 3 miles per hour, they are called unit rates.
Unit rate = ![\frac{distance}{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%7D%7Btime%7D)
From the given table:
Take any
time = 4 hours and distance= 188 miles
then, by definition of unit rate;
Unit rate = ![\frac{188}{4} =\frac{47}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B188%7D%7B4%7D%20%3D%5Cfrac%7B47%7D%7B1%7D)
Since, this is the constant rate.
Therefore, the relationship between distance and time in simplified form as a unit rate is; ![\frac{47}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B47%7D%7B1%7D)
Answer:
Step-by-step explanation:
The equations would look like this:
x + 8x + x + 100 = 840
Combine like terms.
10x + 100 = 840
Subtract 100 from each side.
10x = 740
Divide both sides by 10.
x = 74
So, that makes one of the numbers 74.
Now, we're gonna substitute 74 into 8(x) to find the second number.
8(74) = 592
So, the next number is 592.
592 + 74 = 666
840 - 666 = 174
So, the numbers are 74, 592, and 174
If you'd like to check the answer, plug the numbers back into the equation:
74 + 8(74) + 74 + 100 =
840.
Answer:
81.2 feet (nearest tenth)
Step-by-step explanation:
Answer:
25 more boxes is needed
Step-by-step explanation:
12000 batteries require 50 boxes. Let's find the unit rate.
That is, how many batteries are in each box??
That's 12,000/50!
12,000/50 = 240 batteries per box
Now, to find how many boxes we would need for 18,000 batteries, we will have to divide the total (18000) by 240(number of batteries per box). That is:
18,000/240 = 75 boxes
We would need 75 boxes to pack 18,000 batteries.
We want "how many MORE boxes needed", so we will the excess:
75 - 50 = 25 more boxes is needed