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NISA [10]
3 years ago
8

A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster est

imation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8 Explain why this reasoning is not accurate.
Mathematics
2 answers:
Alenkinab [10]3 years ago
5 0

Answer with explanation:

We have to estimate the sum of

→7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When Rounded to nearest tens

7.95 → 8.00

8.11→ 8.00

78.5→79

8.05→8.00

79.4→79.0

0.815→1

So,estimation of the above rational numbers with addition as an operation is done,the result is

→8 + 8 + 80 + 8 + 80 + 0.8 = 184.8, is not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

for example ,79.4 when rounded to nearest tens → 79,but in the expression 80 is written,which is not correct.

Similarly,when rounded to nearest tens, 0.815 → 1, but in the expression 0.8 is written,which is confusing.

Similarly,when rounded to nearest tens ,78.5 →79 , but in the expression 80, is written,which is incorrect.

CaHeK987 [17]3 years ago
3 0

The numbers are not clustered around a common number. Two of the numbers are very large and one is very small.

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Solve for x:
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Subtract 5 from both sides:
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Raise both sides to the power of two:
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Expand out terms of the right hand side:
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Subtract 16 x^2 - 96 x + 144 from both sides:
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-4 (x - 9) (x - 4) = 0

Divide both sides by -4:
(x - 9) (x - 4) = 0

Split into two equations:
x - 9 = 0 or x - 4 = 0

Add 9 to both sides:
x = 9 or x - 4 = 0

Add 4 to both sides:
x = 9 or x = 4

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(4) + sqrt(3×4 - 11) = 4:
So this solution is incorrect

5 - sqrt(x) + sqrt(3 x - 11) ⇒ 5 - sqrt(9) + sqrt(3×9 - 11) = 6:
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Answer:

Part A: Kimberly

Part B:

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Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

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Therefore:

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y = 4.5x

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Speed (k) = y/x

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Equation for Kimberly would be:

y = 5x

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Part B:

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Thus:

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y = 5*5 = 25 miles

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