Adelivery truck can transport packages weighing at most 3,800 pounds(lbs) and with a volume of no more than 400 cubic feet (ft^3). the truck transports only two sizes of packages: a small package weighing 30 lbs with a volume of 4ft^3 and a large package weighing 65 lbs with a volume of 9ft^3. let x represent the number of small packages and y represent the number of large packages. which system of inequalities describes the possible numbers of packages the truck can transport at one time? a. 6x+13y≥760 and 4x+9y≥ 400 b. 6x+ 13y ≤ 760 and 4x+9y≤400 c. 15x+2y≤ 1,900 and 65x + 9y≤ 400 d. 15x +12y≥ 1,900 and 65x+9y≥ 400

The possible numbers of packages the truck can transport at one time is determined by 6x + 13y ≤ 760 and 4x + 9y ≤ 400

Let x represent the number of small packages and y represent the number of large packages.

Since the truck can transport packages weighing at most 3,800 pounds(lbs), hence:

30x + 65y ≤ 3800

6x + 13y ≤ 760   (1)

Also, the volume of no more than 400 cubic feet (ft^3), hence:

4x + 9y ≤ 400   (2)

Hence, the possible numbers of packages the truck can transport at one time is determined by 6x + 13y ≤ 760 and 4x + 9y ≤ 400

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none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

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