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Arte-miy333 [17]
3 years ago
12

A chicken weighs pounds and needs to be cooked 20 minutes per pound plus an extra 15 minutes used expression 20+15 to find how l

ong will take to cook a 5 pound chicken
Mathematics
1 answer:
Svetach [21]3 years ago
7 0

Answer:

20m

Step-by-step explanation:

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This week laptops are 25 percent off if a laptop cost $340 what is it's sale price
Nata [24]
The sale price is 255 dollars.
To get the answer you find out that ten percent of 340 is 34 dollars. then you double the percentage which brings you to 68 dollars. but you still have 5 percent left over. Half of the ten percent is 17 dollars. finally you add 68 plus 17 which gives you 84 dollars. Lastly subtract 84 dollars from 340 which gives you 255

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Prove that $5^{3^n} + 1$ is divisible by $3^{n + 1}$ for all nonnegative integers $n.$
Viktor [21]

When n=0, we have

5^{3^0} + 1 = 5^1 + 1 = 6

3^{0 + 1} = 3^1 = 3

and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)

Suppose this is true for n=k, that

3^{k + 1} \mid 5^{3^k} + 1

Now for n=k+1, we have

5^{3^{k+1}} + 1 = 5^{3^k \times 3} + 1 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k}\right)^3 + 1^3 \\\\ ~~~~~~~~~~~~~ = \left(5^{3^k} + 1\right) \left(\left(5^{3^k}\right)^2 - 5^{3^k} + 1\right)

so we know the left side is at least divisible by 3^{k+1} by our assumption.

It remains to show that

3 \mid \left(5^{3^k}\right)^2 - 5^{3^k} + 1

which is easily done with Fermat's little theorem. It says

a^p \equiv a \pmod p

where p is prime and a is any integer. Then for any positive integer x,

5^3 \equiv 5 \pmod 3 \implies (5^3)^x \equiv 5^x \pmod 3

Furthermore,

5^{3^k} \equiv 5^{3\times3^{k-1}} \equiv \left(5^{3^{k-1}}\right)^3 \equiv 5^{3^{k-1}} \pmod 3

which goes all the way down to

5^{3^k} \equiv 5 \pmod 3

So, we find that

\left(5^{3^k}\right)^2 - 5^{3^k} + 1 \equiv 5^2 - 5 + 1 \equiv 21 \equiv 0 \pmod3

QED

5 0
1 year ago
Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so
Fofino [41]

Answer:

33.3 % (Approx) percent of fish that Tom’s caught  of the number of fish his son caught .

25% is the percent of the total amount Tom caught.

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ values}

Part First

As given

Tom caught 4 fish and his son caught 12 fish.

Here

Part value = 4

Total value = 12

Put in the formula

Percentage = \frac{4\times 100}{12}

Percentage = \frac{400}{12}

Percentage = 33.3 % (Approx)

Therefore the 33.3 % (Approx) percent of fish that Tom’s caught  of the number of fish his son caught .

Second Part

As given

Tom caught 4 fish and his son caught 12 fish.

Total number of fish caught = 4 + 12

                                              = 16

Part value = 4

Total value = 16

Put in the formula

Percentage = \frac{4\times 100}{16}

Percentage = \frac{400}{16}

Percentage = 25%

Therefore the 25% is the percent of the total amount Tom caught.



8 0
3 years ago
X = 6 y = - 3 A. Neither B. Parallel C. Perpendicular
9966 [12]

the answer is (a)neither

8 0
3 years ago
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
masya89 [10]

(2, -4) → x = 2, y = -4

Put the coordinates of the point to the inequality.

y < x - 2 → -4 < 2 - 2 → -4 < 0   TRUE

y ≥ -x -4 → -4 ≥ -2 - 2 → -4 ≥ -4  TRUE

Answer:

\left\{\begin{array}{ccc}y


You can check other systems.

(2) y > x - 2 → -4 > 2 - 2 → -4 > 0   FALSE

(3) y ≤ -x - 4 → -4 ≤ -2 - 4 → -4 ≤ -6    FALSE

(4) y > x - 2 → -4 > 2 - 2 → -4 > 0   FALSE

6 0
3 years ago
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