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earnstyle [38]
3 years ago
6

X + 3y + 2z = 7

Mathematics
2 answers:
omeli [17]3 years ago
7 0

Step-by-step explanation:

x + 3y + 2z = 7

2x − y + z = 9

-x + 4y + 5z = 14

First add the first and third equations to eliminate x.

7y + 7z = 21

Simplify:

y + z = 3

Solve for y:

y = 3 − z

Substitute into the first two equations:

x + 3(3 − z) + 2z = 7

2x − (3 − z) + z = 9

Simplify:

x + 9 − 3z + 2z = 7 → x − z = -2

2x − 3 + z + z = 9 → 2x + 2z = 12 → x + z = 6

Add the equations to eliminate z.

2x = 4

x = 2

Therefore, z = 4 and y = -1.

Ann [662]3 years ago
5 0
Just use photomath that’s easier
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The figure below shows a shaded rectangular region inside a large rectangle: (pic)
mariarad [96]

Answer:

D


Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".


<u>Area of whole rectangle:</u>

Area of rectangle = length * width = 10 * 5 = 50


<u>Area of White Region:</u>

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42


Hence, probability is \frac{42}{50}=0.84

0.84 = 84%

Answer choice D is right.





8 0
3 years ago
Karen is knitting quilts for her family and friends as holiday gifts. As she knits the quilts she becomes more proficient each w
Scorpion4ik [409]
At what rate does she become more proficient? You didn't mention the pattern 
8 0
3 years ago
Read 2 more answers
as Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. convert this speed to miles per mi
3241004551 [841]

Given:

Speed = 6 miles per second

If the Saturn revolves 6 miles in 1 second then the speed is:

\begin{gathered} In\text{ 1 second distance is 6 miles} \\ So\text{ in 60 second distance is =6}\times60\text{ miles} \\ =360 \end{gathered}

So speed in minutes is 360 miles per min.

In 3 minutes traveling distance is:

\begin{gathered} =360\times3 \\ =1080 \end{gathered}

3 0
1 year ago
Tara had $350 in her bank account she received three birthday checks for $35 each and but bought two new video games for $41 eac
goldfiish [28.3K]

We conclude that the final amount that she has in her bank account is $375.

<h3>How much has Tara in her bank account now?</h3>

Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.

Then she received 3 checks for $35 each, so at this point she has:

$350 + 3*$35 = $455

Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:

$455 - 2*$41 = $375

We conclude that the final amount that she has in her bank account is $375.

If you want to learn more about additions and subtractions:

brainly.com/question/25421984

#SPJ1

6 0
1 year ago
Please, someone, help with this question. This is my last question.
Leya [2.2K]

Answer:

4.43 inches

Step-by-step explanation:

The volume of the hot tub is

V = l*w*h

We are given the volume in gallons which we need to convert to cubic inches

1 gallon = 231  in^3

350 gallons *231 in ^3/1 gallon = 80850 in ^3

Substituting in what we know, we can find the height of the tub

80850 = 76*60 *h

17.76026316 is the height of the tub

If the tub is 1/4 full

We take 1/4 of the height

1/4 * 17.76 = 4.432565789

The approximate height of the water is 4.43 inches

3 0
3 years ago
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