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Difficult Math Question Help Needed

Need help with difficult Math Question?

I'm beating my head against the wall trying to figure this math problem out, maybe I'm trying to hard, any help or guidance would be greatly appreciated.

It is Better to Give Than Receive

One spring day as fowers were blooming on the ground of Grandfather Pennywise's large mansion, he called to all his grandchildren to gather round his easy chair in his den. Excitement was in the air, because they knew what was coming. The tradition was about to be enacted for another year. Dear old "rich" Grandfather "Moneybags" (as the children called him) always gave money to them on HIS birthday.

And he always did so in an unusual and unique way. (some adults called it eccentric). You see, he gave to each of his grandsons as many dollars as there were grandsons, and to each of his granddaughters as many dollars as there were granddaughters.

Now years ago when there were fewer offspring, the monetary value of each gift was rather low. But as years have brought more children, the amount each child receives has likewise grown. And much to the delight of each child, I might add.

This year the girls were especially happy due to the birth of twin girls just a month earlier. They would receive more per person than the boys for the first time in quite some spell.

After all the envelopes containing each child's portion were handed out, Linda exclaimed, "Grandpa, you've just given out $841 this year! Thank You."

Of course, every grandchild (except the newborns) rushed to grandfather to give him a hug and wish him a Happy Birthday.

How many hugs did the kind gentleman receive?

Math Help again. 4 difficult questions. Please help?

1. The diameter of a circular flower garden is 12m. The cemented walk around the garden is 2m. What is the area covered by the flower garden together with the walk?

Ok you are going to use the forula for the area of a circle: a= pi(r^2)
12m is diameter so 6m is the radius. Use 3.14 for pi
a=3.14(6^2) or a=3.14 x 6 x 6
a=113.04...now add the 2m walkway= 115.04m
A. 115.04 m(Exponent 2)


2. The area of Mr. Smith's farmland is 1 1/2 hectares. He planted 1/2 of the land with fruit trees. How many square meters of land did he plant fruit trees?

1 hectare = 10,000m^2 so 1 1/2 hectares = 15,000m^2
15,000m^2 / 2 = 7500m^2
=7500m^2 of land he planted trees on


3. Lenny prepared 2.4 liters of juice which she served her 6 friends. How many milliliters of juice did each friend receive?

1 liter = 1000ml so 2.4 liters = 2400ml
2400ml / 6 friends = 400ml
=400ml of juice each friend recieved


4. An aquarium that measures 20 cm long, 15 cm wide and 0.3 m high is half-filled with water. How much water does the aquarium contain?

Just get all the units to cm and multiply the sides
1m = 100cm so .3m= 30cm
20cm x 15cm x 30cm= 9000 cm^3 (total volume)
9000cm^3 / 2(because its half full)= 4500cm^3
=4500cm^3 or 45m^3

Difficult math question, help needed?

Selling 12 Candies at a price of $10 yields a loss of a%. Selling 12 Candies at a price of $12 yields a profit of a%. What is the value of a?

Thanks in advance.

Difficult tricky math questions, please help?

1. When any number is repeatedly multiplied by itself, the resulting number in the units place is the modulo 10 remainder of squaring the units digit. In this case, the unit digit is 7. The successive powers of 49327 have unit digit:
49327^1: 7
49327^2: 9
49327^3: 3
49327^4: 1
49327^5: 7 etc.
Now since we can write 1783 = 1782+1 = 3*594 +1, this means that the 1782nd power has units digit 3, and so the 1783rd has units digit 1.

2. The pattern is called the factorial sequence, i.e.
1!= 1= 1
2!= 1x2 = 2
3!= 1x2x3 = 6 etc.
So the 101st term is 101! = 9.42594776 x 10^159

Difficult math question : trigonometry Please help me?

I've been attempting this question for and hour now and can't seem to solve it please help me

. .|. . .Q
. .|. . ./\<-------- 90°
. .|2cm \
. .|. / . . .\
.P|/ . . .8cm
. .|. . . . . .\
.O|______θ\R

The diagram shows and L-shaped rod PQR leaning against a vertical wall. Given that PQ =2cm ,QR=8cm and angle ORQ =θ .Show that

OR= (2sinθ + 8cosθ)cm

Thank you deeply

I need help with this difficult math problem/ Independent events?

Half of a deck is black, so G = 26/52 = 1/2
For H, there are 3, 6 and 9 being valued, and each appears 4 times, so
3*4/52 = 12/52 = 3/13

I'm not sure what H ! G means, I apologize.

I do know that H and G are not independent. Exaclty 1/2 of the 3, 6 and 9 cards are black.

It's best to think of these all in fractions of 52s, since we can then substract one for every time a condition is met more than once.

Black cards: 26/52
3, 6, 9: 12/52
Two each of 3, 6, 9 are black = 6/52. They are counted twice so we subtract this from the sum of the two events.

26/52 + 12/52 - 6/52 = 32/52 = 8/13 that a card is black or in set (3, 6 or 9)

If P(H ! G) means probability of H not G, then the answer is 6/52 or 3/26, since 6 of the twelve 3, 6, 9 cards are also black.

Difficult math problem help please?

I've been working on this problem forever and can't seem to figure it out. Any help would be much appreciated! Here's the problem:

The Seats 'R Us factory produces chairs with 4 legs and stools with 3 legs. The style of seats and legs are the same. This year, if all the leftover legs were put with the leftover seats to make chairs, one seat would be left over without any legs. However, if all the leftover legs were put on the leftover seats to make stools, one leg would be left. How many more legs than seats are in the leftover inventory?

Difficult Math Question! Please Assist!?

L W = 450

( L - H ) ( W + H ) = 450

Working with the second equation...

L W + L H - W H - H² = 450

Using L W = 450,

L H - W H - H² = 0

L - W - H = 0

H = L - W

So now we know the restriction on H; it must be the difference bewteen the original length and width. When added to the width, the new width becomes the old length; when subtracted from the length, the new length becomes the old width. This holds for all rectangles, not just those with the given area.

Why do teachers make students do difficult math and science problems by hand, when in real life technology can handle the hard problems and get the answer right in a matter of seconds?

I’ve got some bad news and some worse news. The bad news is that those problems that can be done by hand aren’t really difficult, they’re only difficult for you. The worse news is that the problems that technology can solve for you from start to finish aren’t actually difficult either.Difficult problems are the ones you have to invent a solution for because no one else has figured out how to solve them before. They are the kind of problems that, even if you understand exactly what you want to know, you have no idea how to ask a computer to help you know it.The good news is, if you get really good at solving the hard-for-you-right-now problems by hand (and later with technological tools), then maybe some day when you tackle an actual hard problem, you may be able to make enough progress by hand to simplify the problem to the point where it is easy enough for technology to give you the answer. When that day comes, you will realize that all the time you now feel like you are wasting doing problems by hand is actually an investment in your future as a real-world problem solver. If that day comes for you, be sure to write nice thank you notes to the teachers you now resent. They are usually under-paid and under-appreciated so your note will remind them why they decided to teach in the first place.

Weird/Difficult Math problems..Please help?

I tried to do them, but i don't get them? Can you please help? Thank you, any help appreciated!

71. A machine makes 640 fl oz of yogurt. Each serving is 8 fl oz. The amount left after x servings is described by the function
f(x) = 640 - 8x. What is the value and meaning of each intercept?

70. An apartment in Fresno, California, rents for $600 per month with a $1000 deposit. The rental is month-to-month, but you must stay at least one month. The function f(x) = 600x + 1000 gives the cost of renting for x months.

58. A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x + 5y = 100 describes the number of cans x and bottles y that you need to earn $1.00. What is the value of each intercept, and what does each represent?


16. Trey’s mechanic said he could fix Trey’s car at a rate of $20 per hour, plus $400 for the cost of a part. Trey’s neighbor said he already has the needed part, and will fix his car for only $70 per hour. For how many hours will the cost of getting his car fixed by either person be the same?

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