3 years ago

Ella uses 3 inches of ribbon for each key chain she makes. How many key chains can she make with 4 yards of ribbon?

Mathematics

1 answer:

Marina CMI [18]3 years ago

8 0

Answer:

Step-by-step explanation:

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3/5x + 1/4y = -1/2 in standard form

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Step-by-step explanation:

The standard form:

$Ax+By=C$

A, B and C are the integer.

We have:

$\dfrac{3}{5}x+\dfrac{1}{4}y=-\dfrac{1}{2}$

Find the common denomintaor of given fractions.

We have 5, 4 and 2. The common denominator of 2, 4 and 5 is 20.

20 = 2 · 10 = 4 · 5 = 5 · 4

Thereofre multiply both sides by 20:

$20\!\!\!\!\!\diagup^4\cdot\dfrac{3}{5\!\!\!\!\diagup_1}x+20\!\!\!\!\!\diagup^4\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=20\!\!\!\!\!\diagup^{10}\cdot\left(-\dfrac{1}{2\!\!\!\!\diagup_1}\right)\\\\(4)(3x)+(5)(1y)=(10)(-1)\\\\12x+4y=-10$

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