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boyakko [2]
3 years ago
12

Use compatible numbers to estimate the quotient. 412 divided by 5

Mathematics
2 answers:
katen-ka-za [31]3 years ago
6 0
412 divided by 5 is 82.4
SpyIntel [72]3 years ago
6 0
Round 412 to 400. We automatically know that 40 divided by 5 is 8, so that tells us that 400 divided by 5 is 80. So the estimate would be 80 and the compatible numbers would be 400 and 5
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Ratling [72]

Step-by-step explanation:

x^2+x-6006=0

x^2+78x-77x-6006=0

x(x+78)-77(x+78)=0

(x-77)(x+78)=0

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7 0
3 years ago
^ need help !!!!!!!!!!!!!!!!!!!!
elena-14-01-66 [18.8K]
First set up the equation to find answer: y=7-x. Then add it to the variable. 3x-1(7-x)=1. So that makes it 3x+-7+-1=1. Add like terms -7+-1=-8, so 3x+-8=1. Now to find x just switch the 8 to the other side. So you end up with 3x=9 since when you take away a number from one side you need to use the opposite value so adding 8 to -8 will cancel it out, then add it to the other, then just divide. 9/3=3, from here just substitute to find y. y=7+3. y=10. The answer is x=2 and y=5. I hope I helped!

5 0
3 years ago
Read 2 more answers
Find the number of ways of arranging the numbers
Doss [256]

First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).

So, we can think of our numbers as

\begin{array}{c|c}x&x\mod 3\\0&0\\1&1\\2&2\\3&0\\4&1\\5&2\\6&0\\7&1\\8&2\\9&0\end{array}

In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

For example, we could arrange our numbers following the pattern

0,1,2,0,1,2,0,1,2

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0,1,2,0,1,2,0,1,2

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3,1,2,6,4,5,9,7,8

In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).

This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have

3\cdot 3\cdot 3\cdot 2 \cdot 2 \cdot 2 = 216

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216\cdot 6 = 1296

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7 0
3 years ago
Read 2 more answers
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Mandarinka [93]

Answer: i think it's b

Step-by-step explanation:

4 0
3 years ago
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40 points | Sierra and Alek each have five cousins. Their ages are listed below.
faust18 [17]

Find the mean for both:

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A: The medians do not equal the mean.

B: Sierra's are more spread out, ( no identical ages and a greater range ).

C: Sierra's mean is less than Alek.

D. Sierra has an outlier (2).

The answer would be B

8 0
3 years ago
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