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Westkost [7]
3 years ago
5

A student completes 2/5 of a science project in 3/4 hour. At this rate, what fraction of the project can the student complete pe

r hour?
Mathematics
1 answer:
kvasek [131]3 years ago
4 0

The fraction of the fence completed in one hour at a rate of  \frac{2}{5} of the

fence in  \frac{3}{4} hours is  \frac{8}{15}.

<h3>How can the fraction completed in one hour be found?</h3>

The fraction of the fence completed in \mathbf{\frac{3}{4}} of an hour = \frac{2}{5}

Required:

The fraction of the fence the student completes per hour;

Solution;

The time \mathbf{\frac{2}{5}} of the fence is completed =  \frac{3}{4} of an hour

Therefore;

The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}}  = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour}  = \dfrac{8}{15} \ per \ hour

The fraction of the fence completed per hour = \underline{\frac{8}{15}}

Learn more about fractions here:

brainly.com/question/21339546

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What is the solution to the following system?
leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]

Now I will shift rows to make my pivot point (top left) a 1 and so:

\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]

\frac{R_2}{9}=R_2


\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]


4R2+R1=R1 , -14R2+R3=R3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]


-\frac{9}{20}R_3=R_3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]


-\frac{4}{9}R_3+R_2=R2 , -\frac{7}{9}R_3+R_1=R_1


\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]


Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to".  Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0
3 years ago
What is 5/8 expressed as a decimal?​
Lelu [443]

Answer:

The answer would be 0.625

6 0
4 years ago
Read 2 more answers
Please help me ASAP, thanks!
jenyasd209 [6]
The answer is option c
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6 0
3 years ago
Rectangle JKLM is rotated 90° clockwise about the origin.
shusha [124]

Answer:

Clockwise rotation 90 &deg; about origin

R_{90, clockwise, origin}(x,y) -> (y,-x)

J(-4,1) therefore

R_{90, clockwise, origin}J(-4,1) -> J'(1,+4)  this answer was form other person credits to him/her

Step-by-step explanation:

4 0
3 years ago
I just need someone to answer these:
VladimirAG [237]

Answer:

7x4/8=3.5

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(i dont know this one or the next, hope it helps! ❤

Step-by-step explanation:

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3 years ago
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