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3 years ago

Solve for y in the first equation x + 3y = 6 2x − y = 10

Mathematics

1 answer:

serious [3.7K]3 years ago

8 0

Solve equation [1] for the variable x [1] x=(3y+6)

Plug this in or variable x in equation [2]

[2] 2(-3y+6)-y= 10

[2] -7y=-2

// solve equation [2] for the variable y

[2] 7y= 2

[2] y=2/7

By now we know this much

X= -3y+6

Y=2/7

Use the y value to solve for x

X=-3(2/7)+6=36/7

(x,y)=(36,7), (2/7)

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Suppose you want to create a set of weights so that any object with an integer weight from 1 to 40 pounds can be balanced on a t

Archy [21]

Answer:

You need 4 weights, and the weights are 1; 3; 9 and 27.

Step-by-step explanation:

<em>Since the scale has two plates, we can place weights on either side and also the object so it can be balanced. </em>

This is a key part of the problem, it's not only on the other side of the scale, but on both sides.

Let's do the math now.

If i get two weights, 1 and 3. I can form this combinations.

Object of 1lb = 1

Object of 2lb + 1 weight = 3 weight.

Object of 3lb = 3 weight

Object of 4lb = 1 weight + 3 weight.

So what if i want to add the next weight and that weight to add me the maximum amount of objects. The weight would have to have a difference with the last object plus one. So if i grab 9. 9 minus 4 is 5. And that is a difference with the last object plus 1.

With a weight of 9, now i can add all the integers up to 13lb.

And the next step? Lets add one more. Keeping the last rule, the weight would have to have a difference with the last object plus one. So if i grab 27, 27 minus 13 is 14. And that is a difference witht the last object plus 1.

The sum of all the weights adds up to 40 pounds. And i can balance any integer in the middle.

The formula we are using is p – n = n + 1

Where p is the new weight. and n is the last object we weighted. And the sum of the weights goes up to the last object we can place on the scale, and in this case is 40.

4 0

3 years ago

Sally drives 66 miles in 3 hours and Molly drives 72 miles in 4 hours. What is the difference between their average speed, in mi

Scrat [10]

Answer: A

Step-by-step explanation:

Sally: 66/3=22

Molly: 72/4=18

22-18=4

5 0

3 years ago

What is the answer <br> How do you solve this

Talja [164]

The term for this sequence is 2.

It's an easy pattern!..

The second term is two times two.

The third term is two times three and so on..

4 0

3 years ago

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

Slav-nsk [51]

The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

<h3>How to Order a Set of Decimal Numbers?</h3>

When considering the order of a set of decimal numbers, the value larger the digit that is close to the decimal point, the larger the decimal number, and vice versa.

Given the following set of decimal numbers, 7.321, 7.3, 7.065, 7.65.

Notice that all decimal numbers start with 7. So, the digit close to the decimal point is what we will consider to determine which decimal number is greater or the least.

The decimal number that has the greater digit that is close to the decimal point is, 7.65, followed by 7.321, then 7.3.

The decimal number with the least digit closer to the decimal point is 7.065.

Therefore, the order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Learn more about order of decimal numbers on:

brainly.com/question/20603315

#SPJ1

6 0

2 years ago

Can anyone help me with this?

matrenka [14]

Answer:

$\sqrt{7}$

Step-by-step explanation:

Given

4 $\sqrt{7}$ - 10 $\sqrt{7}$ + 7 $\sqrt{7}$ ( add the coefficients of the terms )

= (4 - 10 + 7) $\sqrt{7}$

= 1 $\sqrt{7}$

= $\sqrt{7}$

5 0

3 years ago