If 6 is a factor of a number, what other numbers must be factors of<br> the number?

Solve by Substitution<br> Show Steps<br> −2x + 3y + 5z = −21<br> −4z = 20<br> 6x − 3y = 0

Anarel [89]

−2x + 3y + 5z = −21

−4z = 20

6x − 3y = 0

do -4z=20 first

divide both sides by -4 to get z by itself

-4z/-4=20/-4

z=-5

Use z=-5 into −2x + 3y + 5z = −21

-2x+3y+5(-5)=-21

-2x+3y-25=-21

move -25 to the other side

sign changes from -25 to +25

-2x+3y-25+25=-21+25

-2x+3y=4

6x-3y=0

find x by eliminating y

Add the equations together

-2x+6x+3y+(-3y)=4+0

-2x+6x+3y-3y=4

4x=4

Divide by 4 for both sides

4x/4=4/4

x=1

Use x=1 into 6x − 3y = 0

6(1)-3y=0

6-3y=0

Move 6 to the other side

6-6-3y=0-6

-3y=-6

Divide both sides by -3

-3y/-3=-6/-3

y=2

Answer:

(1, 2, -5)

5 0

4 years ago

Read 2 more answers

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft

Yuri [45]

Considering the definition of right rectangular prism and its volume, the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³× 0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

<u>brainly.com/question/13962136</u>

<u>brainly.com/question/7171617</u>

8 0

3 years ago

Can someone please help me without using a link?

USPshnik [31]

Answer:

The answer is Prism T (C)

Step-by-step explanation:

R = 24

S = 25

T = 30

U = 28

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

3 0

3 years ago

Read 2 more answers

How do I solve a given parallelogram

Grace [21]

Prompt Becoming a Lifelong Learner Learning a language opens doors to a world of opportunity. Of course, in order to really benefit from your studies, you’ll need to do more than just complete assignments. You’ll need to set habits that will tie you to French and its cultures even beyond the classroom. Students who become lifelong learners of French have some basic characteristics and habits that you should develop if you want to get the most from your experience learning French Here are some of them: Lifelong learners: Have friends with whom they regularly converse in the target language. (This could be friends in school, neighbors or friends in the community.) Regularly get information from target language sources (newspapers, magazines, Internet French related news group (with parent’s approval), TV programs, radio, etc. that are produced by and for native speakers.) Participate in activities of the target culture (celebrating holidays, seeing movies or plays of/in the target culture, preparing or eating dishes from the target culture, reading books or magazines from the target culture, etc.) Someone who has developed these habits is on the way to becoming a lifelong learner. These types of habits reinforce a strong connection to the language and culture and develop a love and better understanding of that culture. Think for a minute about the resources available. Do you have friends who are native French speakers? Do you ever watch French channels on television? You can probably think of several online sources. Maybe you have some stores or restaurants in your community that are run or frequented by French speakers. Also think about when you could do this on a regular basis—remember that it’s setting the habits that will make the most difference. Using the table below as a guideline, write what you plan to do. For the Language or Culture Resources column, try to identify three different resources: 1. A friend or contact 2. An information source, and 3. A cultural activity. In the What I Will Do column, describe as specifically as you can what you will do. And in the When I Will Do It column, write when you plan on doing these activities. See the sample below to see how you might fill out your own table. You will have opportunities to follow up and report on your regular practice of engaging French resources close to home. You will be asked in a follow up assignment to report on what you have done. Language or Culture Resources: What I Will Do: When I Will Do It: 1 1 1 2 2 2 3 3 3 *Sample: Language or Culture Resources: What I Will Do: When I Will Do It: 1. French exchange student 1. I will practice French…. 1. M-F between 9 and 10 am. 2. French newspaper: JDD.fr 2. I will read an article a week 2. Every Tuesday at 3:00pm 3. French films 3. I will see a French film every month 3. The first Friday of every month. If you are still unsure where to begin, ask your teacher for additional ideas that can help get you started. Regardless of how you go about making your French cultural connection, be sure to make a plan and to think about a longer-term strategy for getting the most from your time with your chosen resources. **Start your plan next week. You will report on this assignment towards the end of the semester. The final report will be worth 50 points. This assignment is worth 20

3 0

3 years ago

What is the square root of 61 to the nearest integer?

Gwar [14]

<span>We can calculate the nearest integer of the square root by estimation. </span>

<span>So 61 is nearest to 64 and acccording this the square root of 61 to the nearest integer is 8.
</span>

7 0

3 years ago

If 6 is a factor of a number, what other numbers must be factors of the number?