if 6 units = 10 cm then what does 9 units equal

Question

if 6 units = 10 cm then what does 9 units equal

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Rylee 1 week 2021-10-06T18:36:02+00:00 2 Answers 0

Answers ( )

    0
    2021-10-06T18:37:22+00:00

    Answer:

    9 units = 15 cm

    Step-by-step explanation:

    \bold{METHOD\ 1:}\\\\6\ units=10\ cm\to1\ unit=\dfrac{10}{6}\ cm=\dfrac{5}{3}\ cm\\\\9\ units=9\times1\unit=9\times\dfrac{5}{3}\ cm=\dfrac{9\times5}{3}\ cm=\dfrac{45}{3}\ cm=\boxed{15\ cm}\\\\\bold{METHOD\ 2:}\\\\\begin{array}{cccc}6\ units&-&10\ cm&\text{divide both sides by 2}\\\\3\ units&-&5\ cm&\text{multiply both sides by 3}\\\\9\ units&-&\boxed{15\ cm}\end{array}

    \bold{METHOD\ 3:}\\\\\begin{array}{ccc}6\ units&-&10\ cm\\\\9\ units&-&x\ cm\end{array}\qquad\text{cross multiply}\\\\\\(6)(x)=(9)(10)\\\\6x=90\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}=\dfrac{90}{6}\\\\\boxed{x=15\ (cm)}

    0
    2021-10-06T18:37:32+00:00

    First, divide the total centimeters to units.

    10 / 6 = 5/3

    Second, multiply by 9 (9/1).

    5/3 * 9/1 = 45/3 = 15

    Therefore, 9 units is equal to 15cm.

    Best of Luck!

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45:7+7-4:2-5:5*4+35:2 =? ( )