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emmasim [6.3K]
3 years ago
10

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb

weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has? 3x – 10y = 50 3x = 50 – 10y 50 + 10y = 3y 50 + 3y = 10y
Mathematics
1 answer:
olga2289 [7]3 years ago
3 0

Answer:

3x = 50 - 10y

Step-by-step explanation:

Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,

So, total weight of 3 lb weights = 3x

And, the weight of 10 lb weights = 10y

Total weight of all his weights = 3x + 10y

According to the question,

Total weight = 50 lb,

⇒ 3x + 10y = 50

Or 3x = 50 - 10y

Which is the required equation.

Second option is correct.

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Constructing a brick staircase: A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive
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b) The total staircase will need: 100 + 98 + 96 + ... +  44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
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[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:

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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:

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the difference from 240 to 120 is 50%

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