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Ivanshal [37]
3 years ago
6

Item 8 a teacher is making identical activity packets using 92 crayons and 23 sheets of paper. what is the greatest number of pa

ckets the teacher can make with no items left over?
Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
<span>23 identical packets, consisting of 1 sheet of paper and 4 crayons. The maximum number of packets the teacher can make from 92 crayons and 23 sheets of paper is the greatest common factor of 92 and 23. And for the values of 92 and 23, the GCF is 23. First, calculate the list of prime numbers that when multiplied together, get each number. 23 = 23 92 = 2 * 2 * 23 Look for the largest set of prime factors in common to both numbers. In this case, it's 23. So the teach can make 23 identical activity packets. Each packet will contain (92 / 23 = 4) crayons, and (23 / 23 = 1) sheet of paper.</span>
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I need help with this problem and would really appreiciate a short explanation too.<br> 15 PTS
inysia [295]

okay. the point has an x and y value. place them into the equation.

1=m(1)+b

m=slope, and theequation tells you that slope is 7.

1=7(1)+b

now you need to figure out what b is.

1=7(1)+b

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1= 7 +b

-7 -7

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-6=B

b is 6. now place it into the equation, replacing the x and y values back.

y=7x-6.

write 7 and 6 in the boxes (the negative for the six has already been provided)

8 0
3 years ago
A chord has ___________ endpoint(s) on a circle.<br> A. Three<br> B. None<br> C. One <br> D. Two
AveGali [126]

Answer:

The answer is D - Two

Step-by-step explanation:

a chord has two endpoints on a circle

5 0
3 years ago
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
serious [3.7K]

Answer:

The correct answer is D. 360,360.

Step-by-step explanation:

Number of cities as stopovers available for selection for an European tour = 15

A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.

Therefore the number of ways the traveler plan such a tour is given by \left[\begin{array}{ccc}15\\5\end{array}\right] = 3003.

Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.

6 0
3 years ago
An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21

Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6

Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30

Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
4 years ago
In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this
sweet [91]

Step-by-step explanation:

3.38 × 10^{6} is the scientific notation of 3,380,000

7 0
3 years ago
Read 2 more answers
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