Use benchmarks to estimate 2.81+3.73

Mathematics

1 answer:

love history [14]3 years ago

5 0

The benchmarks are: 0, 0.25, 0.50, 0.75 and 1.
2. 81 → 2.75
+
3.73 → 3.75
------------
2.75 + 3.75 = 6.50

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The tens digit of a certain number is five more than the units digit. The sum of the digits is 9. Find the number.

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Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

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Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

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So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$