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3 years ago

Hannah needs 350 colored pencils for the craft kits for summer camp.

2 answers:

5 0

Hannah would need 4 boxes

8x12 to find out how many colored pencils in each box you would get 96 then divided that by 350 to see how many boxes you would need you would get 3.645... and so on you would need to round up since Hannah needs 350 she can’t have less but she can have more therefore Hannah needs 4 boxes of pencils

nexus9112 [7]3 years ago

3 0

12 x 8=96 and 350/96= 3.64 so she would need 4 boxes

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Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

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1 year ago

The pie chart is best because pie charts are a good way to portray percentage based data. B. The Pareto chart is best because it

konstantin123 [22]

Answer:

The pie chart is best because pie charts are a good way to portray percentage based data.

Step-by-step explanation:

Pie charts are used for graphical representation of data. The data can be shown in percentages or numbers. It is easy for the user to understand the data in the pie chart because it clearly represents the data in circular graphical form.

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3 years ago

Solve for X, 132 is an exterior angle. Show work please!

Darina [25.2K]

Answer:

105/9

Step-by-step explanation:

180 - 132 = 48 degrees

180 - 48 - 45

= 180 - 93

= 87 degrees

<2 = 180 - 87

= 93 degrees

=> 9x - 12 = 93

=> 9x = 105

=> x = 105/9

6 0

2 years ago

Read 2 more answers

5x – 24 > 26 <br> what is the solution to the inequality?

ozzi

Answer:

x > 10

Step-by-step explanation:

5x - 24 > 26

Add 24 on both sides.

5x -24 + 24 > 26 + 24

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Divide by 5 on both sides.

x > 50 ÷ 5

Find x.

x > 10

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3 years ago

Fully simplify ( 3 x + y 4 ) 2

Ainat [17]

Answer:

2/4-5

Step-by-step explanation:

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3 years ago

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