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ziro4ka [17]
2 years ago
10

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:

x = 0.1515...

100 x = 15.1515...

100 x - x = 15.1515... - 0.1515...

99 x = 15

x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33

0.1515... = 5 / 33

Step-by-step explanation:

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You need 2 3/4 wheelbarrows of sand to make 8 wheelbarrows of concrete. how much sand will you need to make 248 cubic feet of co
horsena [70]
8 ÷ (2 3/4) = 32/11

248 ÷ (32/11) = B. 85 1/4 cubic feet
6 0
3 years ago
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Fei Yen's dog eats 8 ounces of dog food each day.Fei Yen's bought a 28 pound bag of dog food.How many 8 ounce servings are in a
joja [24]

Answer:

56

Step-by-step explanation:

Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.

Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:

28 lb

--------------------- = 56 8-oz servings

1/2 lb/ serving

8 0
2 years ago
What does it equal? Because I'm really confused
ruslelena [56]
It equals to 3/13
this is easy to solve because the denominator is already the same. all you'll need to do is add the the numerators:
2+1=3
and your answer will be 3/13
5 0
3 years ago
Cindy earns a 15% commission on all sales. On Saturday, she sold $980 worth of merchandise. What was the amount of commission sh
Eduardwww [97]

Answer:

147

Step-by-step explanation:

980 x 15%

=147

7 0
3 years ago
[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation
irina1246 [14]

Answer:

y=-\frac{158}{579}

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]

And the vector B is formed with the solution of each equation of the system:b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called A_{2}.

A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]

The value of y using Cramer's rule is:

y=\frac{det(A_{2}) }{det(A)}

Find the value of the determinant of each matrix, and divide:

y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}

y=-\frac{158}{579}

7 0
3 years ago
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