Answer:
333.3 meters per minute
Step-by-step explanation:
<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>
<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>
<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>
<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>
= (20*1000*1)/(1*1*60) m/min
= 333.3 meters per minute
Answer:
379.94 mi²
Step-by-step explanation:
The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).
We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.
The equation now becomes
3.14(11²)
11 squared is 121.
3.14(121)
I recommend splitting the 121 into 100, 20, and 1.
(3.14 * 100) + (3.14 * 20) + (3.14 * 1)
Multiply 3.14 by 100, 20, and 1.
314 + 62.8 + 3.14
Add 314 and 62.8.
376.8 + 3.14
Add 376.8 and 3.14
379.94 mi² is the area of a circle with a 22-mile diameter.
Answer:
I think that answer is 6men an 6women
Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
