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Alla [95]
3 years ago
9

Over a 3/12 year period, 27/12 inches of snow fell in Jackson City. What was the average yearly snowfall in Jackson City?

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

9 inches per year

Step-by-step explanation:

We are told that in a 3/12 year period, the amount of snowfall was 27/12. Therefore, we can find the amount of snowfall in one year by using the following proportion:

\frac{3}{12}:\frac{27}{12}=\frac{12}{12}:x

where 12/12 represents one year, and x the amount of snowfall in one year. Solving for x, we find

x=\frac{\frac{27}{12}\cdot \frac{12}{12}}{\frac{3}{12}}=\frac{\frac{27}{12}}{\frac{3}{12}}=\frac{27}{3}=9

So, the average yearly snowfall is 9 inches per year.

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Find the angle measures given the figure is a rhombus.
WITCHER [35]

Answer:

1 = 90°, 2 = 66°

Step-by-step explanation:

Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.

5 0
3 years ago
PLEASE TELL ME!!!!!!<br><br> What is the solution to the equation 4/5n-1/5=2/5n
Mashutka [201]

Answer:

4/5n-1/5=2/5n  

One solution was found :

                  n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/5*n-1/5-(2/5*n)=0  

Step by step solution :

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

   4    1   2

 ((—•n)-—)-(—•n)  = 0  

   5    5   5

Step  2  :

           1

Simplify   —

           5

Equation at the end of step  2  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  3  :

           4

Simplify   —

           5

Equation at the end of step  3  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4n - (1)     4n - 1

————————  =  ——————

   5           5    

Equation at the end of step  4  :

 (4n - 1)    2n

 ———————— -  ——  = 0  

    5        5  

Step  5  :

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4n-1) - (2n)     2n - 1

—————————————  =  ——————

      5             5    

Equation at the end of step  5  :

 2n - 1

 ——————  = 0  

   5    

Step  6  :

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2n-1

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2n-1  = 0

Solving a Single Variable Equation :

6.2      Solve  :    2n-1 = 0  

Add  1  to both sides of the equation :  

                     2n = 1

Divide both sides of the equation by 2:

                    n = 1/2 = 0.500

One solution was found :

                  n = 1/2 = 0.500

4 0
4 years ago
Can someone help? Don’t need any working out
Novay_Z [31]
Volume= 301.6
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7 0
3 years ago
If the sales tax in Alabama is 4 percent and a $20.00 purchase is made. What is the sales price? What is the total purchase pric
mihalych1998 [28]
Hello there! So first off, let's find the tax. In order to find the tax of an item, all you have to do is multiply the price by the percentage, because the tax is the portion of the price. The tax is 4%. Let's solve. 20 * 4% (0.04) is 0.8. The tax is $0.80. Let's add that to the purchase price. 20 + 0.80 is 20.80. That's the total purchase price. Here are the answers easier to read.

Sales tax: $0.80
Total price: $20.80
8 0
3 years ago
A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.
DerKrebs [107]
Oranges+apples+pears = 4+9+3=16

oranges = 4/16
pears = 3/16
4/16 + 3/16 = 7/16
4 0
3 years ago
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