Mrs. Neville is baking five batches of cookies. She will need 2 \frac{1}{2} 2 1 ​ cups of flour for each batch of cookies. If she begins with a 20 cup bag of flour, what is the resulting change in the amount of flour in the bag?

12.5 cups used

7.5 cups left

Step-by-step explanation:

Number of batches = 5

Cups of flour per batch = 2 1/2 cups

Initial amount of flour = 20 cup bag

After 5 batches ; number of cup used :

5 * 2 1/2 = 12.5 cups of flour

Change in amount of flour in bag :

(20 cups - 12.5 cups) = 7.5 cups

stops on an even number.

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°