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umka2103 [35]
2 years ago
8

Luigi is an urban planner. As an independent contractor, he charges $140 fee plus $25 per hour for each contract with the city.

Write an equation that represents this scenario where y represents the total amount he charges for a project and x represents the number of hours worked on a project. I need help, please!!!!!!!
A. x = 25y + 140
B. x = 140y + 25
C. y = 140x + 25
D. y = 25x + 140
Mathematics
1 answer:
Bess [88]2 years ago
4 0

Answer:

D. Y = 25x + 140

Step-by-step explanation:

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Answer:

The equivalent expression for the given expression \sqrt[3]{256x^{10}y^{7} } is

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Step-by-step explanation:

Given:

\sqrt[3]{256x^{10}y^{7} }

Solution:

We will see first what is Cube rooting.

\sqrt[3]{x^{3}} = x

Law of Indices

(x^{a})^{b}=x^{a\times b}\\and\\x^{a}x^{b} = x^{a+b}

Now, applying above property we get

\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y   )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})

∴ The equivalent expression for the given expression \sqrt[3]{256x^{10}y^{7} } is

4x^{3} y^{2}(\sqrt[3]{4xy} )

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