At competing grocery stores, bananas are 80 cents a pound at the first store and 85 cents a pound at the second store. Apples are 3 dollars a pound at the first store and 2.50 dollars a pound at the second store. Suppose you buy x pounds of bananas and y pounds of apples at each store. You end up spending 10 dollars at the first store and 12 dollars at the second store.

Which system of equations represents the amount of money you spend on bananas and apples at each store?

0.8x + 3y = 10

0.85x + 2.50y = 12

Step-by-step explanation:

Given :

Spending at first store :

Cost of Banana = 80 cent per pound = 0.80

Cost of apple = $3 per pound

Total amount spent = $10

Pounds of banana = x

Pounds of apple = y

0.8x + 3y = 10 - - - (1)

Spending at second store :

Cost of Banana = 80 cent per pound = 0.85

Cost of apple = $2.50 per pound

Total amount spent = $12

Pounds of banana = x

Pounds of apple = y

0.85x + 2.50y = 12 - - - - (2)

1/5^2 = 7.56/45

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°