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alukav5142 [94]

1 year ago

10

Find the volume of the rectangular prism. V=__ cm 3 little three^simply answer

1 answer:

Sliva [168]1 year ago

4 0

The volume of a rectangular prism with sides a, b and c is given by:

$V=a\cdot b\cdot c$

If a = 7 cm, b = 8 cm and c = 2 cm, we have:

$V=7\cdot8\cdot2=112\text{ cm}^3$

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PLEASE HELP!!!!! What is the value of x in the matrix equation below?

Brums [2.3K]

The given matrix equation is,

$1.5\left[\begin{array}{cc}x&6\\8&4\end{array}\right] +y\left[\begin{array}{cc}1&4\\3&2\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right]$ .

Multiplying the matrices with the scalars, the given equation becomes,

$\left[\begin{array}{cc}1.5x&9\\12&6\end{array}\right] +\left[\begin{array}{cc}y&4y\\3y&2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Adding the matrices,

$\left[\begin{array}{cc}1.5x+y&9+4y\\12+3y&6+2y\end{array}\right] =\left[\begin{array}{cc}z&z\\6z&2\end{array}\right] \\$

Matrix equality gives,

$1.5x+y=z\\ 9+4y=z\\ 12+3y=6z\\ 6+2y=2$

Solving the equations together,

$y=-2\\ 3y-1.5x=9\\ -1.5x=9+6\\ x=-10$

We can see that the equations are not consistent.

There is no solution.

3 0

3 years ago

WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:

stepladder [879]

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

$x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4$

This is false equality, so this equation has no solutions.

B.

$x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0$

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

$\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}$

This equation has the unique solution.

D.

$3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0$

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

$x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3$

This equation has the unique solution.

8 0

3 years ago

Decimal 16.25 is equal to the fraction<br><br>

guajiro [1.7K]

Answer:

16 1/4 or 65/4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Match the graph with its inequality

worty [1.4K]

Answer: A

Step-by-step explanation:

8 0

3 years ago

-5(2 – 5n) + 6 = -5n - 34<br>-02

statuscvo [17]

Answer:

Assuming you're solving for <em>n</em>, 1. n=-1 2. n=-1.6

Step-by-step explanation:

1. -5(2-5n)+6=-5n-34-2

Distributive Property

-10+25n+6=-5n-32-2

Add Like Terms

-4+25n=-5n-34

Subtract -4

25n=-5n-30

Subtract -5n

30n=-30

Divide by 30

n=-1

2. -5(2-5n)+6=-5n-34-20

Distributive Property

-10+25n+6=-5n-32-20

Add Like Terms

-4+25n=-5n-52

Subtract -4

25n=-5n-48

Subtract -5n

30n=-48

Divide by 30

n=-1.6

5 0

3 years ago