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.
        
             
        
        
        
Answer: 5,720
Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.
Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.
Finally, we fill in the missing positions with zeros.
Therefore, 5.72 × 10³ written in standard notation is 5,720.
 
        
             
        
        
        
Answer:
Start on 8 the floor
 Up 6 floors
 Descend 10
 Above 2
 Increase 15
 Down 3
 Ascend 7
 Lessen 5 floors
 Up 2
 The opposite of -2 floors
 Drop 15
 Descend 8
 Ascend 10
 Rising 6 floors
 Decrease 2
 Drop 3
 Sink 2 floors
 The opposite of -13
 Decrease 7
 Lower 14
 Advance 1 floor
 Increase 4
It is time for the crew to clock out for the day. What floors do they still have to finish? Draw a visual representation of the problem. Explain how you solved it.
Answer:
Step-by-step explanation:
Step-by-step explanation:
 
        
             
        
        
        
First square each term to rid of the root sign:
x^2 + 1^2 + 3^2 = 0^2
x^2 + 1 + 9 = 0
x^2 = -10
x = root -10
        
             
        
        
        
Answer:
The length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.
Step-by-step explanation:
Given that,
Area of trampoline, 
Jeena wants to buy a cover to put around the edge of the trampoline. We need to find the length of the cover that will wrap around the edge of the trampoline. First of all, lets find the radius of trampoline. Let is is r. So,

To find the length of  the cover that will wrap around the edge of the trampoline we will find circumference of the trampoline as :

So, the length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.