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Tamiku [17]
2 years ago
6

Ana can finish a certain job in 10 hours. Together, Ana and Nina can finish the same job in 3 hours. How many hours can Nina fin

ish the job alone?
Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:   4.5 hours

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

Ana: \dfrac{1}{10}\ \text{job per hour}\\\\Nina: \dfrac{1}{x}\ \text{job per hour}\\\\Together: \dfrac{1}{3}\ \text{job per hour}\\\\\\Ana + Nina = Together\\\dfrac{1}{10}\quad +\dfrac{1}{x}\quad =\quad \dfrac{1}{3}\\\\\\\dfrac{1}{10}(30x)+\dfrac{1}{x}(30x) =\dfrac{1}{3}(30x)\\\\\\\rightarrow\quad 3x+30=10x\\\\.\quad 3x+30=10x\\\underline{-3x\qquad \quad -3x\quad}\\.\qquad \quad 30=7x\\\\.\qquad \quad \dfrac{30}{7}=\dfrac{7x}{7}\\\\\\.\qquad \quad \dfrac{30}{7}=x

.\qquad \quad 4.5=x

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Y=-3x+5 <br> 5x-4y=-3<br> Trying to solve this problem
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3 years ago
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
igor_vitrenko [27]

Step-by-step explanation:

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8 0
3 years ago
(NEED THE ANSWER AS SOON AS POSSIBLE)
Naya [18.7K]

Answer: 42 - 8x

Step-by-step explanation:

Here is the complete question:

Jessica had $15. She bought 3 apples for x dollars each. Levi had $27 and bought 5 apples for x dollars each. Which expression represents how much money both Jessica and Levi have left altogether?

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42 – 8x

12 – 2x

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From the question, Jessica had $15. She bought 3 apples for x dollars each. This means she had:

15 - (3 × x) = 15 - 3x

Levi had $27 and bought 5 apples for x dollars each. Levi will have:

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The amount they'll have altogether will be the addition of their amount left. This will be:

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3 years ago
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Answer:

Step-by-step explanation:

=x^2-x+3+3x^2-3x+2

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6 0
2 years ago
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Sav [38]

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3 years ago
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