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hram777 [196]
2 years ago
12

Do you know the answer to this

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0

Answer:

4x^2y\sqrt[4]{3y}

Step-by-step explanation:

\sqrt[4]{768x^8y^5} =

= \sqrt[4]{256 \times 3(x^2)^4y^4y}

= \sqrt[4]{4^4 \times 3(x^2)^4y^4y}

= 4x^2y\sqrt[4]{3y}

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A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs
NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0
3 years ago
A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
Kay [80]

Answer:  The required number of quarters in the collection is 11.

Step-by-step explanation:  Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05,   1 dime = $ 0.10   and    1 quarter = $0.25.

Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

7 0
3 years ago
What is the answer? 8 x 4 + 9^2
Anuta_ua [19.1K]
8 x 4 is equal to 32 and 9^2 is 81. You add them together and get 113.
6 0
3 years ago
Find the next four terms in the arithmetic sequence. a - 6, a - 2, a + 2, ...
labwork [276]
The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
5 0
3 years ago
So, I'm NOT a beginner on brainly. And i havent been able to chat with ANYONE I'm friends with. Including one of my friends that
Sauron [17]

Answer:

Same here !

My guess is when  you reach Genius on Brainly, you MAY be able to chat.

That's is my guess.

I have had many many different accounts on Brainly and, no chat.

.................weird....................

8 0
3 years ago
Read 2 more answers
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