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3 years ago

Write a proportion for: a test is worth 50 points; test score of 40%

2 answers:

7 0

The proportion for a test of 50 points with a test score of 40%:

You need to multiply 0.4 and 50. Which is 0.4 • 50 = 20

Hope this helps! :)

stepladder [879]3 years ago

3 0

It would be 50:20 or 25:10 or 5:2

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How do the values compare? Order the values from least to greatest

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hope it helps

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3 years ago

30 : 48 as a ratio in simplest form

umka21 [38]

The answer is either 10:16 or 5:8

5 0

3 years ago

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Enter the value of b when the expression 14.1x - b is equivalent 4.7(3x-3.5)?

3241004551 [841]

Answer:

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3 years ago

7). John had 9 pieces of gum at the

Dmitry_Shevchenko [17]

Answer:

9-1=8

Step-by-step explanation:

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2 years ago

Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago