Answer:
![14878.04878miles/hours^2](https://tex.z-dn.net/?f=14878.04878miles%2Fhours%5E2)
Step-by-step explanation:
Let's find a solution by understanding the following:
The acceleration rate is defined as the change of velocity within a time interval, which can be written as:
where:
A=acceleration rate
Vf=final velocity
Vi=initial velocity
T=time required for passing from Vi to Vf.
Using the problem's data we have:
Vf=65miles/hour
Vi=6miles/hour
T=14.8seconds
Using the acceleration rate equation we have:
, but look that velocities use 'hours' unit while 'T' uses 'seconds'.
So we need to transform 14.8seconds into Xhours, as follows:
![X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)](https://tex.z-dn.net/?f=X%3D%2814.8seconds%29%2A%281hours%2F60minutes%29%2A%281minute%2F60seconds%29)
![X=0.0041hours](https://tex.z-dn.net/?f=X%3D0.0041hours)
Using X=0.0041hours in the previous equation instead of 14.8seconds we have:
![A=(65miles/hour - 6miles/hour)/0.0041hours](https://tex.z-dn.net/?f=A%3D%2865miles%2Fhour%20-%206miles%2Fhour%29%2F0.0041hours)
![A=(61miles/hour)/0.0041hours](https://tex.z-dn.net/?f=A%3D%2861miles%2Fhour%29%2F0.0041hours)
![A=(61miles)/(hour*0.0041hours)](https://tex.z-dn.net/?f=A%3D%2861miles%29%2F%28hour%2A0.0041hours%29)
![A=61miles/0.0041hours^2](https://tex.z-dn.net/?f=A%3D61miles%2F0.0041hours%5E2)
![A=14878.04878miles/hours^2](https://tex.z-dn.net/?f=A%3D14878.04878miles%2Fhours%5E2)
In conclusion, the acceleration rate is ![14878.04878miles/hours^2](https://tex.z-dn.net/?f=14878.04878miles%2Fhours%5E2)
Answer: 800 miles
Step-by-step explanation:
Let the actual distance between City C and City D be represented by x.
The information given in the question can be formed into an equation as:
1.8 feet / 2.88 feet = 500 miles / x
Cross multiply
1.8 × x = 500 × 2.88
1.8x = 1440
x = 1440/1.8
x = 800
Therefore, the actual distance between City C and City D is 800 miles.
Answer:
Step-by-step explanation:
27 degrees
1/2 : 1
2 : 4
3 : 6
Notice that every ratio consists of a number and double the number.
For 1/2 cup lemon juice, use 1 cup sugar.
The amount of sugar is twice the amount of lemon juice.
The ratio is 1:2
Since you are told the ratio is 1:r, that means r is 2.
The unit rate is 2 cups sugar per cup of lemon juice.