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3 years ago

sketch and label all possible rectangles with a perimeter of 30 cm and sides whose lengths are whole numbers

Mathematics

2 answers:

GalinKa [24]3 years ago

6 0

For example, you can draw a rectangle that has two opposite sides of 8, and the other two sides of 7. So they'll add up to be 8+8+7+7, which equals 30 (because the perimeter is all the lengths of the sides added up).

Ivahew [28]3 years ago

3 0

Its asking you to draw rectangles with sides that equal 30 cm for example

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y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

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$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

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Then:

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$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

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