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Mrac [35]
3 years ago
8

Avery has 2 blue marbles. One sixth are blue. How many marbles does he have

Mathematics
2 answers:
lbvjy [14]3 years ago
6 0
He has 12 marbles. 

There you go
Elis [28]3 years ago
3 0
Avery would have 12 marbles because if 1/6 of the marble is blue that means 2 is 1/6 of all his marbles so that means 10 of the marbles are other colors so he has 12 marbles

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Water erupting from geyser can reach a temperature of 244 F . The average temperature in Yellowstone National Park is 35F . Use
stiv31 [10]
Difference means subtraction , 244 - 35 = 209
I forgot how to do this problem it was 63 years ago
4 0
3 years ago
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
12(4^3−6⋅3^2) solve please fast
Marrrta [24]
The answer is 291.72
3 0
3 years ago
Read 2 more answers
A.0 B.-7 C.1. D.undefined Whst one is is pls help
Musya8 [376]

Answer:

undefined

Step-by-step explanation:

The line on the graph is completely vertical, which is characteristic of an undefined graph.

4 0
3 years ago
Try Solve<br> 4/7 + -8/9 + -5/21 + 1/3 = ???
erica [24]

Answer:

hey:)

the answer is -8.11

there is no step-by-step explanation, because you have to either do it with a calculator or do it by yourself

8 0
3 years ago
Read 2 more answers
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