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Daniel [21]
3 years ago
6

What percentage of one hour is fifteen minutes?

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

 1 hour = 60 minutes

15 minutes = (60/15) = 1/4th of an hour

1/4 = 0,25

<span>15 minutes is 25% of an hour</span>

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Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
4 years ago
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Is this a multiple choice

4 0
3 years ago
Whatt are some inportant rules to dividing and multipling positives and negitives.
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Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn

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The same rules apply for division as multiplication.
4 0
3 years ago
Dario increased his savings from $350 to $413. What is Dario's percent increase in<br> savings?
Nady [450]

Answer:

18%

Step-by-step explanation:

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Paul and his friends average their test grades and find that the average is 95.The teacher announces that the average grade of a
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The averages did not match because of the number of grades calculated into the total average.  Let's say for example that the teacher in this case has 25 students in her class.  She would take the average of all 25 students' test grades.  Let's say that Paul has 4 friends with whom he averaged his test grade.  He has taken the average of 5 tests, whereas the teacher has calculated the total amount of student test scores (25).  Paul and his friends may have done better on that particular test than the other 20 students in the class, explaining the average of 95 that he got.  Other students who got B's or C's on that test pulled the total class average down, explaining the teacher's average of 83.    
6 0
3 years ago
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