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2 years ago

Solve the equation for a.

Mathematics

1 answer:

nataly862011 [7]2 years ago

7 0

Answer:

a=-7.68

Step-by-step explanation:

3a+13.61=-9.43

-13.61

_____________

-23.04

3a=-23.04

-23.04/3= -7.68

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To avoid an additional charge, the sum of the length, 1, width, w, and depth, d, of a piece of luggage to be checked on a

ololo11 [35]

The answer is B. l+w+d cannot be more than 61 inches so that sum must be less than 61 inches

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3 years ago

Read 2 more answers

A washer and a dryer cost $552 combined. The washer costs $98 less than the dryer. What is the cost of the dryer?

Sedaia [141]

552-98 = 450

454/2 = 227

washer cost $227

227+98 = 325

dryer cost $325

5 0

2 years ago

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago

A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. what is the area of the room

beks73 [17]

Answer:

The area is 775/6 square ft²

Step-by-step explanation:

Multiply 12 1/2 by 10 1/3 to find the area

6 0

2 years ago

Sara can type 90 words in 4 minutes. About how

LiRa [457]

Answer:

225 words

Step-by-step explanation:

In order to find the answer to this question we have to find how many words she writes in 1 minute. To do this you need to divide 90 words by 4 minutes:

(90)/4 = 22.5 words/minute

Now that the words per minute is found, we can multiply it by the 10 minutes to find how many words she can write in 10 minutes:

(22.5)(10) = 225

Therefore, Sara can type about 225 words in 10 minutes.

<em>I hope this helps!!</em>

8 0

2 years ago