Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

Question

22-05-2018
Mathematics

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Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

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11beehshahbaz 11beehshahbaz · Answer 1 · 2018-05-31T21:47:33+02:00

Amount of shampoo in a bottle = [tex]30 \frac{1}{2} [/tex] ounces
Amount of shampoo Nico uses in one bathe for his dog = [tex]1 \frac{1}{4} [/tex]

Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = [tex]27 \frac{1}{2} [/tex]

If Nico can Bathe his dog x times using this bottle, the value of x can be written as:

[tex]x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } [/tex]

Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.

Thus, Nico can Bathe his dog 22 times using the bottle

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-03-22T05:53:00+01:00

Hence if Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces then Nico can bathe his dog using this one bottle 22 times .

What is linear equation ?

A equation of degree one is known as linear equation.

Here given that Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces.

Number of times Nico can bathe his dog using this one bottle=x

Hence we write it in equation form as

[tex]x= \frac{30\frac{1}{2}-3 }{1\frac{1}{4} } \\\\x= \frac{27\frac{1}{2} }{\frac{5}{4} } \\\\x=\frac{\frac{55}{2} }{\frac{5}{4} } \\\\x= \frac{55}{2} \times\frac{4}{5} \\\\x= 11\times2\\\\x=22[/tex]

Hence if Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces then Nico can bathe his dog using this one bottle 22 times .

To learn more about linear equation visit : https://brainly.com/question/14323743