What is the value of x in the equation: 5(6x - 4) = 20 + 4(3 + x)?

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:

Step-by-step explanation:

Answer:

The Y-intercept is -1

Step-by-step explanation:

M*thway is a pathway to many abilities some considered to be... unnatural

Statement (C) the y-intercept is y=-1 describes the graph of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

[tex]\rm f(x) = \dfrac{x^2-1}{x^2-2x+1}[/tex]

The above function is a rational function.

The denominator cannot be zero

x² - 2x + 1 ≠ 0

(x - 1)²≠ 1

x ≠ 1

To find y-intercept plug x = 0

f(0) = -1

Thus, statement (C) the y-intercept is y=-1 describes the graph of the function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

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:

its divided into sixths

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

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

Answer:

The equation for 3 cups equals 24 cookies is = 24 divided by 3 or 3 times 8, so that makes your awnser 12 times 3= 36 times 8 equals 288, so 288 cookies.

Step-by-step explanation:

Dozen-12

Answer:

you going to need 4 1/2 or 4.5 cups of sugar

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:

1/100

Step-by-step explanation:

This is just digits...

57.237 = 50+7+0.2+3*___+0.007

well if you take a closer look

57.237 = 57.207 + 3*___

0.03 = 3*___

So you must have 0.01 for that spot, or if we follow the format of the question, you rewrite it as 1/100

Answer:

0.01 or 1/100

Answer:

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

Step-by-step explanation:

Use second equation

Apply to the first

Answer: A. [tex]2\times10^{-6}[/tex].

Step-by-step explanation:

Given: The diameter of bacterium = 0.0000029 meter

≈  0.000002 meter  [ with 6 decimal places]

[tex]=\dfrac{2}{1000000}=\dfrac{2}{10^6}[/tex]

[tex]=2\times10^{-6}[/tex] meters    [[tex]\dfrac{1}{a^n}=a^{-n}[/tex]]

i.e. [tex]2\times10^{-6}[/tex] closest to 0.0000029.

Hence, the correct option is A. [tex]2\times10^{-6}[/tex].

Answer:  X"  ( -3,2)    Y" (-1,0)   Z" (1,6)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

these are similar triangles.

4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4

8 * 7/4 = solution

= 14

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:

54 students

Step-by-step explanation:

90× 60% = 54

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:

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:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Symbol: m

[tex]m=\frac{3}{4}[/tex]

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:

b

Step-by-step explanation:

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