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Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

your answer is 180 in³

The original toolbox is 180 in³

Nataliya [291]3 years ago

7 0

Answer:

Volume of original toolbox = 180 in³

Yes, doubling one dimension only would double the volume of the toolbox.

Step-by-step explanation:

Volume = L x W x H

10 x 6 x 3 = 180 in³

proof:

double length = 20 x 6 x 3 = 360 in³, which is double the original

double width = 10 x 12 x 3 = 360 in³, which is double the original

double height = 10 x 6 x 6 = 360 in³, which is double the original

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Problem PageQuestion Customers of a phone company can choose between two service plans for long distance calls. The first plan h

kenny6666 [7]

Answer:

The answer is below

Step-by-step explanation:

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal

Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x

The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x

For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:

$19 + $0.13x = $24 + $0.08x

Solving for x:

$$19 + $0.13x = $24 + $0.08x\\0.13-0.08=24-19\\0.05x=5\\x=5/0.05=100\\x=100\ minutes$