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3 years ago

Please help me no links please and thank you :)

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

Answer: y=5/3x-4

Step-by-step explanation:

Hi, you could find the slope with any 2 points on the line. For accuracy, I will choose the points (6, 6) and (0, -4), meaning when x =6, y=6, and when x=0, y=-4. Then you can set up an equation. Because the line on this graph is linear (meaning straight), the form of the equation would be y=ax+b. (If it was a parabola, it would be y=ax^2+bx+c).

y=mx+b (Or some people prefer y=ax+b, but the same thing).

Now, plug in the x and y values, getting:

6 = 6m+b and -4=0*m+b

When you simplify, you will get that b is -4, and then m is 5/3

So the equation is y=5/3x-4

You can plug the numbers of x and y in to check your answer.

Hope this helps!

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In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow

Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0

3 years ago

David went to a fast-food shop for a meal in a late evening. Only steak, pork chop and grilled chicken were available for main c

Doss [256]

six

Step-by-step explanation:

the reason is this: let steak be (s), pork be (p), grilled chicken be (gc), tea be (t), and coffee be (c)

now, we want to find the total number of outcomes, and this cannot be determined by a simple roll of the dice. you have to count the sample space required for EVERY outcome, and it has to lie within the conditions. so, assuming David only takes 1 main course and 1 drink, he would be down to six option, which are :

1. s & t

2. s & c

3. p & t

4. p & c

5. gc & t

6. gc & c

5 0

3 years ago

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters.

Setler79 [48]

Answer:

B. 28.26

Step-by-step explanation:

8 0

3 years ago

Juliette won her 400m race in a time of 1:01.71. If she ran the 1500m at the same rate,

slamgirl [31]

Answer:

230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)

Step-by-step explanation:

First I will convert the minutes into seconds to make this a little easier.

1:01.71 would just be 61.71 seconds

400/61.71 is her speed for the first race. (speed is distance/time)

That is approximately 6.5 meters per second

time is distance/speed

1500/6.5= 230.769...

I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.

7 0

3 years ago

The perimeter of the triangle shown is represented by the

Lyrx [107]

<h3>Linear expression represents the missing length</h3>

<em><u>Solution:</u></em>

The perimeter of the triangle shown is represented by the expression 10x - 1

The lengths of two sides are given: 3x + 1 and 5x - 2

We have to find the length of third side

We know that,

perimeter of the triangle = sum of length of all three sides

10x - 1 = 3x + 1 + 5x - 2 + third side

10x - 1 = 8x - 1 + third side

third side = 10x - 1 - 8x + 1

third side =2x

2x has variable x and its power is 1

Linear expression is an algebraic expression where the power of variable is equals to 1

Thus linear expression represents the missing length

8 0

4 years ago