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Yuki888 [10]
3 years ago
15

If the sales tax is 8.5% about how much will an 89.95 pair of sneakers cost including sales tax?

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0
8.5% = 0.085 x 89.95 = 7.64675 + 89.95 = 97.59575 rounded to the nearest hundredth is $97.60
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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge
Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

5x+4y+5z=-1

x+y+2z=1

2x+y-z=-3

Firs we find determinant of system of equations

Let a matrix A=\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right] and B=\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]

\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}

\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply R_1\rightarrow R_1-4R_2 and R_3\rightarrow R_3-2R_2

\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]

ApplyR_2\rightarrow R_2-R_1

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]

Apply R_3\rightarrow R_3+R_2

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]

Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0
3 years ago
Hector has 3/4 hour to spend his homework. He wants to spend 1/3 of this time on math homework, 10 minutes of his time on readin
DENIUS [597]

Answer:

20 minutes

Step-by-step explanation:

Remember that

1\ h=60\ mi

we know that

Hector has 3/4 hour to spend his homework

Convert to minutes

\frac{3}{4}(60)=45\ min

so

1) He wants to spend 1/3 of this time on math homework

To find out the time on math homework, multiply 45 minutes by 1/3

45(\frac{1}{3})=15\ min

2) He wants to spend 10 minutes of his time on reading homework

3) He wants to spend the remaining time on science homework

The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes

Let

x ----> the time spend on his science homework

15+10+x=45

Solve for x

25+x=45\\x=45-25\\x=20\ min

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3 years ago
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uranmaximum [27]
The answer is b 16 caz I got it on the website www.asknumbers.com
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At 19:30 Jack lights a campfire. At 22:15 he puts the fire out. Yeah
Evgen [1.6K]
Yeah because he Sheldon do I be j I got work y’all got work at
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3 years ago
If 7x+10=44, what is the value of 7x-50?
Daniel [21]

Answer:

-16

Step-by-step explanation:

So let’s solve for 7x. So 7x=34. So 7x-50 is 34-50 or -16

6 0
3 years ago
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