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zavuch27 [327]
3 years ago
10

Betty Learned how to play a total of 14 songs over the course of 7 weeks of piano lessons.In all, how many weeks of piano lesson

s will Betty need before she be able to play a total of 36 songs? Solve using unit rates.​
Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

18 weeks

Step-by-step explanation:

14 songs / 7 weeks

2 songs per week

36 songs * 1 week/ 2 songs

36 /2 weeks

18 weeks

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Step-by-step explanation:

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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B.)Yes, because the total will be $52
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Amultivitamin tablet contains 16.5 mg calcium.How much calcuim does a bottle of 20 tablet contain?
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16.5 mg of calcium per tablet × 20 tablets=

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