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4vir4ik [10]
3 years ago
5

Write 29/5 as a mixed number in simplest form.

Mathematics
2 answers:
Alborosie3 years ago
8 0
\bold{ \frac{29}{5} } = 29 \div 5  \\  \\ = \boxed{\boxed{\boxed{5 \frac{4}{5} }}}

Try dividing 29 by 5. It gives you 5 then the remainder would be the numerator (4) while the denominator remains the same.
boyakko [2]3 years ago
4 0
\frac{29}{5} = 5 \frac{4}{5}

When attempting to turn an improper fraction into a mixed number, always see how many times the denominator can go into the numerator (in this situation "29÷5" is 5 times). Now with 29-25 (25 from 5 times 5) equals 4.So 4 will be the remainder as well as the numerator. So your answer is above! Hope this helps!
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Four times a number, decreased by 2, is 8 more than the product of six and the number.
Svetradugi [14.3K]

Answer:

-5

Step-by-step explanation:

4x -2 = 8 + 6x

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x = -5

3 0
2 years ago
A man starts walking north at 5 ft/s from a point P. Five minutes later a woman starts walking south at 6 ft/s from a point 500
aev [14]
Check the picture below.

the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.

by the time she started walking, he already had been walking for 5 minutes, or 300 seconds, since he's going 5 f/s, then he had already covered 1500 feet by then.

after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the  picture.

since he's going North and she's going South, dy/dt is the combined rates, as you see there.

now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.

\bf r^2=x^2+y^2\stackrel{chain~rule}{2r\cfrac{dr}{dt}}=0+\stackrel{chain~rule}{2y\cfrac{dy}{dt}}\implies \cfrac{dr}{dt}=\cfrac{2y}{2r}\cdot \cfrac{dy}{dt}
\\\\\\
\cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}

so, what is "r" value 15 minutes later anyway?

\bf r=\sqrt{(1500+4500+5400)^2+500^2}\implies r=\sqrt{11400^2+500^2}
\\\\\\
r=\sqrt{130210000}\implies r=100\sqrt{13021}

then we just plug those folks in the derivative,

\bf \cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}\qquad 
\begin{cases}
r=100\sqrt{13021}\\
\frac{dy}{dt}=11\\
y=11400
\end{cases}\implies \cfrac{dr}{dt}=\cfrac{11400}{100\sqrt{13021}}\cdot 11
\\\\\\
 \cfrac{dr}{dt}=\cfrac{114\cdot 11}{\sqrt{13021}}\implies  \cfrac{dr}{dt}=\cfrac{1254}{\sqrt{13021}}\implies  \cfrac{dr}{dt}\approx 10.99~\frac{f}{s}

7 0
4 years ago
What percent of 88 is 2
pychu [463]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Factor the common factor out of each expression.
jasenka [17]

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

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5 0
3 years ago
True or False? A convenience sample is always valid and reliable.
Alexxandr [17]

Answer:

a convenience sample is always valid and reliable  is  true not false

Step-by-step explanation:

7 0
3 years ago
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