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ycow [4]
3 years ago
9

Henry has a new album for his baseball cards. Some of the pages hold 6 cards and the other pages hold 3 cards. If Henry has 36 c

ards, how many different ways can he put them in his album?
Mathematics
1 answer:
azamat3 years ago
8 0
He can have 6 pages with 6 cards each
12 pages with 3 cards each
3 pages with 6 cards each and 6 with 3 cards each
so 6 6 page
5 6 page 2 3 pages
4 6 page 4 3 pages
so 7 ways
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Solve each system by substitution. Check your answers.<br> 4x+2y=7 , y = 5x
Kazeer [188]

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7     (equation 1)

y = 5x     (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7     (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

To learn more about solving systems of equations: brainly.com/question/25869125

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Bridgette made a graph of her neighborhood on a coordinate grid. The points A(-2, 3), B(-2, -2), C(2, -2), and D(2, 3) represent
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Answer:

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Answer:

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Step-by-step explanation:

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