3 years ago

What is the GCF of 24 30 and 42

1 answer:

4 0

To find the Greatest Common Factor of these numbers, write down their factors
24=2 times 2 times 2 times 3
30=2 times 3 times 5
42=2 times 3 times 7
 find the numbers common to all of them and group likewise
24=(2 times 3) times 2 times 2
30=(2 times 3) times 5
42=(2 times 3) times 7
the common one among all of them is 2 times 3=6 
 the GCF=6

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3 years ago

4a/3-b/4=6 5a/6+b=13 Solve linear system by elimination

kondor19780726 [428]

$\bf \cfrac{4a}{3}-\cfrac{b}{4}=6
\qquad \qquad 
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\\\\\\
\textit{let us remove the denominators off those folks}\\
\textit{by multiplying the first one by 12, both sides}\\
\textit{and the second one by 6, both sides, thus}
\\\\\\
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\\\\\\
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$\bf \textit{now, let's do the elimination}
\\\\

\begin{array}{llll}
16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\
5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\
&&--------\\
&&58a+0\quad=372
\end{array}$

solve for "a", once you get "a", plug it back into either equation to get "b"

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3 years ago

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and th

Usimov [2.4K]

A 1/8.
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3 years ago

A store pays $72 for a crystal vase. The store marks up the price by 50%. What is the amount of the mark-up?

Assoli18 [71]

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Step-by-step explanation: