Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have

Answers

Answer 1

Harry has 49.792 units.

Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:

1) Carrie has 0.125 more than Larry:

[tex]y = x + 0.125[/tex] (1)

2) Larry has 0.75 more than Harry:

[tex]x = z + 0.75[/tex] (2)

3) In total, they have 151:

[tex]x + y + z = 151[/tex] (3)

Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:

[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]

[tex]3\cdot x -0.625 = 151[/tex]

[tex]3\cdot x = 151.625[/tex]

[tex]x = 50.542[/tex]

And the remaining solutions are, respectively:

[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]

Harry has 49.792 units.

We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892


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Answers

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Answer:

y = - [tex]\frac{3}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Answers

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Step-by-step explanation:

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Answer:

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Answer:

7.0 m/s

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

The amount of minutes of calls in which the costs of the two plans equal is 325.

Step-by-step explanation:

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Answer:

The ration of the number of gallons of green paint to the number of  tan paint Collins used is 1 is to 2

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Answers

D 80

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Answer:

D) 80

Step-by-step explanation:

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Answer:

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Answers

Answer:

102.6°F.

Step-by-step explanation:

Aakash body temperature during the day = 99.2°F.

If by evening his body temperature increases by 3.4°F, then his body temperature in the evening will be expresses as the sum of his temperature in the day and the increment.

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Answers

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Step-by-step explanation:

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