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shutvik [7]
3 years ago
13

The large rectangle shown represents one whole . Which division expression does the purple shaded area in the model represent

Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer: The answer is (d)~\dfrac{1}{3}\div 4.


Step-by-step explanation:  Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares. So, in the last row, the fraction of  purple shaded square is

r_p=\dfrac{1}{3}.

And if consider the figure vertically, then there are 3 columns of 4 squares.

Therefore, the final fraction represented by the purple shaded area is

f_p=\dfrac{1}{3}\div4.

Thus, the correct option is  (d)~\dfrac{1}{3}\div 4.


Scilla [17]3 years ago
7 0

Answer:1/3÷4

Step-by-step explanation:

Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares.

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Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.
vlabodo [156]

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}

Substituting into the equation, we have;

x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1}

x = \frac {43 \pm \sqrt {1849 - 1224}}{2}

x = \frac {43 \pm \sqrt {625}}{2}

x = \frac {43 \pm 25}{2}

x_{1} = \frac {43 + 25}{2}

x_{1} = \frac {68}{2}

x_{1} = 39

x_{2} = \frac {43 - 25}{2}

x_{2} = \frac {18}{2}

x_{2} = 9

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

4 0
3 years ago
Quick and easy math questions
maw [93]

Answer:

32/68

Step-by-step explanation:

32+36 = 68

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Matt would be now 15
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4/3 b + 2 equals 4 - 1/3 be​
DIA [1.3K]

I do not understand what you are asking but I am going to assume that you are trying to simplify the equation.

First, write the equation.

(4/3)b + 2 = 4 - (1/3)b

Add (1/3)b to each side.

(5/3)b + 2 = 4

Subtract 2 on each side.

(5/3)b = 2

Divide by (5/3) on each side

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Answer:

x = 145

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x = 145

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3 years ago
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