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Salsk061 [2.6K]
3 years ago
12

Evaluate the expression 5^2(72-45) / 5

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

135

Step-by-step explanation:

Order of Operations: Parentheses first, then power, then division!

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Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25
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Answer:

option b

Step-by-step explanation: cause i know it.

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During the first year, ABC's stock price starts at $ \$100 $ and increases $ 100\% $. During the second year, its stock price go
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Answer:

Step-by-step explanation:

During the first year, ABC's stock price starts at $100 and increases by 100%. This means that the amount by which the stock increased would be

100/100 × 100 = $100

The new price of the stock would be 100 + 100 = $200

During the second year, its stock price goes down 25% from its price at the end of the first year. This means that the amount by which the stock reduced is

25/100 × 200 = 0.25 × 200 = $50

Therefore, the price of the stock, in dollars, at the end of the second year is

200 - 50 = $150

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3 years ago
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A rectangle has a length of 6 inches and a width of 3 inches.
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C
6*3=18
6*8= 48 and 3*8=24
24*48= 1152
1152/18=64

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3 years ago
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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

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3 years ago
Marco Drew 20 pictures he drew 3/4 of them in art class how many pictures did Marco draw in the art class.
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He drew 15 in the art class.                     
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