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4 years ago

If the weight of the package is multiplied by 3/7 the result is 24. find the weight of the package

Mathematics

1 answer:

Allisa [31]4 years ago

4 0

W × ( 3 / 7 ) = 24 ;
w = ( 24 × 7 ) / 3 ;
w =168 / 3 ;
w = 56 is the weight of the package ;

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Answer:

9 weeks

Step-by-step explanation:

5 x 9= 45

45+16=61

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3 years ago

What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

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Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

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3 years ago

How many solutions are there for the system of equations shown on the graph?

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Answer:

Step-by-step explanation:

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3 years ago

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babymother [125]

The surface area of the composite shape is 1560 square inches

<u>Step-by-step explanation:</u>

The surface area of the top cardboard is,

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Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.

SA = 5 ( 10 x 10)

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Given that,

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= 2(580) - 100

= 1160-100

= 1060 square inches

Total surface area = SA + A

= 500 + 1060

= 1560 square inches

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4 years ago

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