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3 years ago

Pls help working this out step by step: Simplify fully (4+√12)(5-√3)

Mathematics

1 answer:

Airida [17]3 years ago

4 0

Answer:

14 + 6 $\sqrt{3}$

Step-by-step explanation:

(4 + $\sqrt{12}$ )(5 - $\sqrt{3}$ )

Each term in the second factor is multiplied by each term in the first factor

4(5 - $\sqrt{3}$ ) + $\sqrt{12}$ (5 - $\sqrt{3}$ ) ← distribute parenthesis

= 20 - 4 $\sqrt{3}$ + 5 $\sqrt{12}$ - $\sqrt{36}$

= 20 - 4 $\sqrt{3}$ + 5(2 $\sqrt{3}$ ) - 6

= 20 - 4 $\sqrt{3}$ + 10 $\sqrt{3}$ - 6 ← collect like terms

= 14 + 6 $\sqrt{3}$

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Answer:

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2 years ago

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4 years ago

They sell cakes for $4 each and spent $45 for advertisement if each cake costs 80 cents to make, how many cakes do they need to

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Answer:

They need to sell 14 cakes to break even.

Step-by-step explanation:

The selling price of each cake = $ 4

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Let us assume the number of cakes sold to BREAK EVEN = m

⇒ For m cakes: TOTAL COST = TOTAL EARNED

Now, if the cost of 1 cake = $0.8

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So, the cost of selling m cakes = m X ( Sell cost of 1 cake)

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3 years ago