What is the slope of a line parallel to the line whose equation is 6x+9y=216. Fully reduce your answer.

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Given:

kth term of a sequence is

[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]

To find:

The next term [tex]a_{k+1}[/tex] when k is even.

Solution:

We have,

[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]

Put k=k+1, to get the next term.

[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]

If k is even, then k+1 must be odd and odd power of -1 gives -1.

[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]

[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]

[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex]    [tex][\because (a-b)(a+b)=a^2-b^2][/tex]

[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]

Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].

Answer:

if it's asking for the like point it would be (3,3)

Step-by-step explanation:

i apologize if that's not what it is asking for

Answer:

Third choice, 7/25

Step-by-step explanation:

14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this

14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25

Answer:

The new position of the drone relative to the top of the building would be:

Hence, option (B) is correct.

Step-by-step explanation:

Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.

As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].

Thus, the new position becomes

[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]

[tex]=\frac{303}{4}-\frac{943}{8}[/tex]

The LCM of 4,8: 8

Adjusting fractions based on LCM

[tex]=\frac{606}{8}-\frac{943}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{606-943}{8}[/tex]

[tex]=-\frac{337}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-42\frac{1}{8}[/tex]

THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:

As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.

i.e

[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]

[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]

The LCM of 8, 2: 8

Adjusting fractions based on LCM

[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{-337+236}{8}[/tex]

[tex]=-\frac{101}{8}[/tex]

Converting improper fractions to mixed numbers

[tex]=-12\frac{5}{8}[/tex]

Therefore, the new position of the drone relative to the top of the building would be:

Hence, option (B) is correct.

Solve for x

|2x -4| + 6 =8

subtract 6 from both sides, then solve

|2x - 4| = 2                                   and                                 |2x -4| = -2

2x - 4 = 2                                                                           2x - 4 = -2

     +4   +4                                                                                +4  +4

2x = 6                                                                                   2x = 2

divide by 2 to isolate the variable

x = 3                                                                                    x = 1

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

At its closest, Saturn is about 743,000,000 miles from Earth. And a deep-space probe travels from Earth to Saturn at an average speed of 25,000 miles per hour.

Step-by-step explanation:

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Step-by-step explanation:

total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

Answer:

I'd love to help but it seems you have not added an attachment or maybe the rest of the question..

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+18

Step-by-step explanation:

Answer:

3x+18

Step-by-step explanation:

Is the answer

answer

Answer:

Step-by-step explanation:

What grade?

Answer:

$67

Step-by-step explanation:

4000 for 4% equal $160/year total in 5 year equal $4800

the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne

Answer:

(X, y) =(3,-3)

Step-by-step explanation:

Use second equation

Apply to the first

Answer:

C

Step-by-step explanation:

If you plug in the numbers into that equation you get

1 = -2(2) + 5

1 = -4 + 5

1 = 1

You can also do this again with x = 5 y = -5

-5 = -2(5) + 5

-5 = -10 + 5

-5 = -5

Answer: The commision would be $ 375

Step-by-step explanation:

Answer:

he earned 8 dollars in interest

Step-by-step explanation:

800(1+(.02)(.5))

hopefully im correct