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3 years ago

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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What Is the percent equal to 3/10

lianna [129]

30 %
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3 years ago

The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis

Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

For the Martinez family;

2a + 3c = $60

For the Wright family;

3a + 5c = $95.5

Thus, the simultaneous equations are;

$2a + 3c = $60$ ..........equation 1

$3a + 5c = $95.5$ .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

Substituting the value of "a" into equation 1, we have;

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

Substituting the value of "c" into the equation, we have;

$2a + 3(11) = 60$

$2a + 33 = 60$

$2a = 60 - 33$

$2a = 27$

$a = \frac{27}{2}$

a = $13.5

Therefore, the cost of an adult movie ticket is $13.5.

5 0

2 years ago

When and how do you use logarithms to solve exponential equations? give an example of an exponential equation that does not requ

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