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2 years ago

A submarine traveled to St. Vincent and

Mathematics

2 answers:

liq [111]2 years ago

8 0

Answer:

8 hrs to get there ( 12 hrs to get back)

Step-by-step explanation:

rate * time = distance distance is the same for both trips

15 km/hr * (t-4) = 10 ( t)

15t - 60 = 10 t

5t = 60

t = 12

t-4 = 8 hrs

Charra [1.4K]2 years ago

6 0

Answer:

how much is 3 dollars

Step-by-step explanation:

how much is 3 dollars and 3 quarters and two dimes and 1 penny

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A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is

CaHeK987 [17]

The equation that can be used to find the length of the ramp is <span>
</span> $5^{2}$ + $12^{2}$ = $c^{2}$

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3 years ago

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Convert the following systems of equations to an augmented matrix and use Gauss-Jordan reduction to convert to an equilivalent m

Rasek [7]

Answer:

System of equations:

$x_1+2x_2+2x_3=6\\2x_1+x_2+x_3=6\\x_1+x_2+3x_3=6$

Augmented matrix:

$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

Reduced Row Echelon matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]$

Step-by-step explanation:

Convert the system into an augmented matrix:

$\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]$

For notation, R_n is the new nth row and r_n the unchanged one.

1. Operations:

$R_2=-2r_1+r_2\\R_3=-r_1+r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]$

2. Operations:

$R_2=-\frac{1}{3}r_2$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]$

3. Operations:

$R_3=r_2+r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]$

4. Operations:

$R_3=\frac{1}{2}r_3$

Resulting matrix:

$\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]$

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3 years ago

A linear function contains the following point

Vsevolod [243]

Answer:

Step-by-step explanation:

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3 years ago

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Tell whether the angles are adjacent or vertical. Then find the value of x.

lozanna [386]

Answer:

$x = 25$

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

$4x - 25 = 75$

$4x = 100$

$x = 25$

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3 years ago

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Answer:

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