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3 years ago

What is the ratio as a fraction in lowest term for $300 to $450 ?

Mathematics

1 answer:

Advocard [28]3 years ago

5 0

Just divide 300 by 450, to get 0.66667, which can be expressed as a fraction by 2/3

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Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

tatuchka [14]

Answer:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation
a column for the values of y in each equation
a column for the independent values of each equation

since our system of equations is:

$3x-5y=12\\ 4x-2y=15$

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

$\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]$

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

$\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]$

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

$\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]$

usually there is a line separating the columns for the values of x and y, and the independent values:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

this is the matrix of the system of equations

6 0

3 years ago

Make a table of ordered pairs in which the x-coordinate represents the number of quarts and the y-coordinate represents the numb

Irina-Kira [14]

Answer:

One quart is the same as two pints. Make a table of ordered pairs in which the x-coordinate represents the number of quarts and the y-coordinate represents the number of pints in 1, 2, 3, and 4 quarts.

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4 years ago

Help with this polynomial problem.

Anastasy [175]

Answer:

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Step-by-step explanation:

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3 years ago

What is the greatest common factor (gcf) for 26 and 78? 6 13 26 3 2

saul85 [17]

For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:

26: 1,2,13,26

78: 1,2,3,6,13,26

Thus, the GCF of both numbers is 26

Answer:

Option C

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3 years ago

What is the length of the base if the area is 32 cmand the height is 4 cm

vovikov84 [41]

Answer:

128,8,28,36

Step-by-step explanation:

if u multiply 32 times 4 u get 128 but if u subtract them u get 28

but if u divide them then u get 8 but if u also add them u get 36

7 0

3 years ago