The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A line plot named "Pumpkin Weights" shows data from 6 to 14 pounds in intervals of 1 pound. 6 has 3 dots. 8 has 5 dots. 9 has 1 dot. 10 has 7 dots. 12 has 4 dots. 13 has 2 dots. 14 has 1 dot. A baker purchases all of the pumpkins to make pies. If she uses a $100 bill to pay for the pumpkins, how much change will she receive? Enter your answer in the box. $

The answer is 32.5

Step-by-step explanation:

First start with (6x3) + ( 8 x 5 ) + ( 9 x 1 ) + ( 10 x 7 ) + ( 12 x 4 ) + ( 13 x 2 ) + ( 14 x 1 ). This equals 225 pounds for all of the pumpkins. The baker buys all of them so multiply 225 by 0.30 since each pound costs 0.30. 225 x 0.30 = 67.5 and the baker pays a 100 dollars so 100 - 67.5 = 32.5. The answer is 32.5.

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°