If you can, explain the step by step process into finding the answer.

$6 per lb.

Step-by-step explanation:

Given :

1 lb of blend > costs $7

Assume that we make 3 lbs of blend :

3 lbs of blend > costs $7 x 3 = $21

we are also given that blend is made from a ration of 2: 1 of arabica: robusta,

hence 3 lb of blend will be made out of 2 lbs of arabica and 1 lb of robusta.

Considering the costs:

Cost of 3 lb of blend = cost of 2 lb of arabica + cost of 1lb of robusta

we are given that robusta is $9 for 1 lb,

hence substituting what we know into this equation

$21 = cost of 2 lb of arabica + $9

cost of 2 lb of arabica = $21 - 9 = $12

cost of 1 lb of arabica = $12 / 2 = $6 per lb.

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°

there is no grid

step-by-step explanation: