Mathematics, 16.12.2019 04:31 mariagoldgames

The dimensions of a blackboard are 9/10 of a meter. in a drawing of a blackboard given below, 1/2 of an inch represents 2 meters.

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Answer from: plutoaliko99

16m² per in²

Step-by-step explanation:

Here is the complete question: The dimensions of a blackboard are 9/10 of a meter by 7/10 of a meter. In a drawing of a blackboard given below, 1/2 of an inch represents 2 meters. What is unit rate of area in square meters of the blackboard per square inch of area in drawing?

Given: Dimension of blackboard= $(\frac{9}{10} \times \frac{7}{10} ) of a meter$

In a drawing, 1/2 of an inch represents 2 meters.

Now, finding scale of drawing

As given; 1/2 of an inch represents 2 meters

∴ $\frac{1}{2}\div 2= \frac{1}{4} \frac{in}{m}$

Fraction shows that 1 inch represent 4 meter in drawing.

Next, converting the unit of dimensions of the blackboard.

$\frac{9}{10}\ m= \frac{9}{10} \div 4$ = $\frac{9}{40}$ in

$\frac{7}{10}\ m= \frac{7}{10} \div 4= \frac{7}{40}$ in

Now, finding area of blackborad in m²

Area of blackboard= $(\frac{9}{10} \times \frac{7}{10} )∴ Area of blackboard= [tex]\frac{63}{100} \ m^{2}$

Next, Area of blackboard in drawing

Area of blackboard in drawing= $\frac{9}{40}\times \frac{7}{40}= \frac{63}{1600} in^{2}$

∴ Unit rate of area in square meters of the blackboard per square inch of area in drawing:

$\frac{63}{100}\div \frac{63}{1600}$

To divide the fraction take the reciprocal of divisor and multiply the dividend.

$\frac{63}{100} \times \frac{1600}{63}= \frac{1600}{100}$

∴ 16 $\frac{m^{2} }{in^{2} }$ is the unit rate of area in square meters of the blackboard per square inch of area in drawing.

Answer from: Quest

answer set (b) 0.5, 3/4 80% is in order from least to greatest.

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form. typically, the best form in which to evaluate rational numbers is in decimals. in order to convert a percent to a decimal, you would divide the given percentage by 100. you can also accomplish the conversion by moving the decimal point over two places to the left. for example, the decimal value of 80% is 80/100, or 0.8. in order to convert a fraction to a decimal, you need to divide the numerator by the denominator. for example, 3/4 is 0.75. so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.

Answer from: Quest

step-by-step explanation:

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The dimensions of a blackboard are 9/10 of a meter. in a drawing of a blackboard given below, 1/2 of...

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