Kevin is responsible for delivering sacks of grains to a grocery shop on the tenth floor of a departmental store. each sack weighs 364 pounds and kevin weighs 150 pounds. the capacity of the elevator is 2,000 pounds. if six sacks are to be taken at a time, what should be the weight of each sack? question 6 options: at the most 308 pounds at least 308 pounds exactly 308 pounds at the most 803 pounds

At most 308 pounds

Step-by-step explanation:

Let x pounds be the new weight of the sacks,

⇒ The weight of 6 sacks = 6x,

Now, the weight of Kevin = 150 pounds,

Thus, the total weight Kevin and 6 sacks = 150 + 6x,

Given,

The capacity of the elevator is 2,000 pounds,

⇒ 150 + 6x ≤ 2000

⇒ 6x ≤ 2000 - 150    ( Subtraction property of inequality )

⇒ 6x ≤  1850

⇒ x ≤ 308.33 ≈ 308

Hence, the weight of each sack is approximately atmost 308 pounds.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.