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3 years ago

Square root 5 x square root 5 x square root 2 x square root 2 Answer left in surds

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

5 0

Answer:

10 or $\sqrt{100}$ (in surds)

Step-by-step explanation:

$\sqrt{5}$ × $\sqrt{5}$ × $\sqrt{2}$ × $\sqrt{2}$ = 5×2 = 10 or $\sqrt{100}$

When the same square root multiply each other, they equal to the number in the square root. E.g. $\sqrt{5}$ × $\sqrt{5}$ = 5 because $\sqrt{5}$ × $\sqrt{5}$ also equals to $\sqrt{25}$ , which is 5.

Hope this is helpful :)

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Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages

frozen [14]

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

$\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)$

In 10 years sum of their ages is 90

$\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)$

On solving (i) and (ii) we get

$\Rightarrow x=25,y=45$

So, the current age of victor is 45 and his daughter is 25

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2 years ago

Casey wants to buy a gym membership. One gym has a $150 joining fee and cost $35 per month. Another Jim has no joining fee and c

Katyanochek1 [597]

Answer:

After 6 months, Casey would pay $360 to join either gym.

Step-by-step explanation:

At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 35x + 150

At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:

c = 60x

Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:

35x + 150 = 60x

Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x

Divide both sides by 25: 150/25 = 25x/25 or x = 6

So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.

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2 years ago

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Mekhanik [1.2K]

Answer:

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Step-by-step explanation:

Of means multiply

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Scorpion4ik [409]

Answer:

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200,000*10

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Gala2k [10]

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