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Andru [333]
3 years ago
15

Joe spends $8 on lunch and 6.50 on dry cleaning.He also buys 2 shirts that cost the same amount. Joe spends a total of $52.What

is the cost of each shirt?
Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
Each shirt cost's $18.75
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The Kentucky Derby distance is 20 furlongs. How far is the Kentucky Derby in​ rods and fathoms?
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Answer:

The distance is equivalent to 800 rods and 2200 fathoms.

Step-by-step explanation:

Given:

The distance of the Kentucky Derby in furlongs is 20 furlongs.

Now, in order to convert the distance in rods and fathoms, we use the conversion factor for each.

We know that,

1 furlong = 40 rods.

Therefore, the conversion factor is \frac{40\ rods}{1\ furlong}

So, 20 furlongs is equivalent to rods =20\ furlongs\times \frac{40\ rods}{1\ furlong}=800\ rods

Therefore, 20 furlongs is equivalent to 800 rods.

Now, we also know that,

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Put the equations in standard form and then use matrices to solve the system of equations.

5x+4y=1,3x−6y=2

Write the equations in matrix form.

(53​4−6​)(xy​)=(12​)

Left multiply the equation by the inverse matrix of (53​4−6​).

inverse((53​4−6​))(53​4−6​)(xy​)=inverse((53​4−6​))(12​)

The product of a matrix and its inverse is the identity matrix.

(10​01​)(xy​)=inverse((53​4−6​))(12​)

Multiply the matrices on the left hand side of the equal sign.

(xy​)=inverse((53​4−6​))(12​)

For the 2×2 matrix (ac​bd​), the inverse matrix is (ad−bcd​ad−bc−c​​ad−bc−b​ad−bca​​), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy​)=(5(−6)−4×3−6​−5(−6)−4×33​​−5(−6)−4×34​5(−6)−4×35​​)(12​)

Do the arithmetic.

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Multiply the matrices.

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Extract the matrix elements x and y.

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