3 years ago

Identify the coefficient of term gº in the expression:

Mathematics

1 answer:

zvonat [6]3 years ago

5 0

Answer: Coefficient is 9

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Erin wants to carpet the floor of her closet. A floor plan of the closet is 4ft x 10ft x 3ft x 6ft. How much carpet does Erin ne

yKpoI14uk [10]

1720 ft^2 you just need to times all the numbers together.

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3 years ago

Calculate gcd(77, 30) by using the Euclidean algorithm. Find also integers u and v such that 49u + 30v = 1. Furthermore, find su

VladimirAG [237]

Answer:

1. gcd(77,30)=1

$77=2*30+17\\30=1*17+13\\17=1*13+4\\13=3*4+1\\4=4*1+0$

Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.

2. u=-11, v=18

Using the Euclidean Algorithm we have that

$49=1*30+19\\30=1*19+11\\19=1*11+8\\11=1*8+3\\8=2*3+2\\3=1*2+1\\2=1*2+0$

Now, we express the remainder as linear combinations of 49 and 30.

$1&=3-2\\ &=3-(8-2*3)=3-8+2*3\\&=(11-8)-8+2(11-8)=3*11-4*8\\&=3*11-4(19-11)=7*11-4*19\\&=7(30-19)-4*19=7*30-11*19\\&=7*30-11(49-30)=\\&=18*30-11*49$

Then $1=(-11)49+18*30$

3. x=18

If $30x\equiv 1\text{mod 77}$ then

$30x=k*77+1$ for some $k\in \mathbb{Z}$ .

Then, if k=7,

$30x=7*77+1=540\\x=\frac{540}{30}=18$

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3 years ago

Huixian needs to pack 171 pens 63 pencils and 27 erasers find the number of each item in a gift bag

Natasha2012 [34]

Answer:

19 pens, 7 pencils, 3 erasers

Step-by-step explanation:

Huxian needs to pack 171 pens

63 pencils

27 erasers

Hence the items can be divided in 9 bags

171/9

= 19

63/9

= 7

27/9

= 3

They can be packed in each bags as follows

19 pens

7 pencils

3 erasers

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3 years ago

Which of the following are not affected by the others outcomes

tankabanditka [31]

Whats not affected by the
others outcome

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3 years ago

Russell's uncle buys a 7.5-pound bag of candy for Russell's birthday party. He puts 1 2 of the candy into a piñata. If Russell g

Amanda [17]

Answer:

7.5/2 = 3.75

3.75/5 = .75

he gets .75 pounds of candy

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3 years ago