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3 years ago

X+(3x+2)+(1)/(2)x=29

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

Answer:

$\boxed{x=6}$

Step-by-step explanation:

$x+3x+2+0.5x=29$

$\sf Combine \ like \ terms.$

$4.5x+2=29$

$\sf Subtract \ 2 \ from \ both \ sides.$

$4.5x+2-2=29-2$

$4.5x=27$

$\sf Divide \ both \ sides \ by \ 4.5.$

$\displaystyle \frac{4.5x}{4.5} =\frac{27}{4.5}$

$x=6$

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3 years ago

What are the values of m and n in the matrix addition below?

Aleksandr [31]

ANSWER

The correct answer is $m=45,n=12$ .

EXPLANATION

We were given the matrix equation;

$\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

We must first simplify the Left Hand Side of the equation by adding corresponding entries.

$\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

That is;

$\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.

This implies that;

$n-2=10$

We got this equation from row one-column one entry of both matrices.

$n=12$

Also, the row three-column three entries of both matrices will give us the equation;

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Hence the correct answer is $m=45,n=12$ .

The correct option is option 2

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3 years ago

How do you do long division how do you do long division on 35 / 2

deff fn [24]

17
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4 years ago

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Peaches come in large and small cylindrical cans. The larger can has a radiusand height that are both four times longer than the

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Answer:

D. 2058.24 in³

Step-by-step explanation:

Let r,h be the radius and height of smaller can and R,H be the radius and height of larger can

Then, R=4r and H=4h

Volume of smaller can=32.16 in³

⇒ πr²h=32.16 in³

Volume of larger can= πR²H

= π(4r²)×4h

= 64πr²h

= 64×32.16 in³

= 2058.24 in³

Hence, correct option is:

D. 2058.24 in³

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3 years ago

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