Instructions: Rewrite the equation in Slope-Intercept Form.

Question :-

Answer :-

[tex] \rule {180pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.

Let :-

Therefore :-

[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]

[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]

[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]

⠀

Subracting x from both sides we get :

[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]

⠀

Dividing both sides by 4 we get :

[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]

[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]

⠀

Therefore,

The probability is the ratio of the favorable event to the total number of events. Then the P(B|C) is 0.38. Then the correct option is B.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the condition, the table will be

                      C                   D               Total

  A                 15                  21                 36

  B                  9                  25                34

Total              24                 46                70

The probability of the (BIC) will be

[tex]\rm P(B|C) = \dfrac{9}{24}\\\\\\P(B|C) = 0.375 \approx 0.38[/tex]

The P(B|C) is 0.38. Then the correct option is B.

More about the probability link is given below.

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Answer:

X=10

Step-by-step explanation:

Step 1: Subtract 100 from both sides of the equation.

Step 2: Simplify.

Step 3: Subtract 25x from both sides of the equation.

Step 4: Simplify.

Step 5: Divide both sides of the equation by the same term.

Step 6: Simplify.

X=10 :)

Answer:

Step-by-step explanation:

In this question we are given an equation that is 22x + 100 = 25x + 70. And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \:22x + 100 = 25x + 70 [/tex]

Step 1 : Subtracting 100 from both sides :

[tex] \longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100[/tex]

On further calculations we get :

[tex] \longmapsto \: 22x = 25x - 30[/tex]

Step 2 : Subtracting 25x from both sides :

[tex] \longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{- }3x = \cancel{ - }30[/tex]

Step 3 : Dividing with 3 on both sides :

[tex] \longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{\frac{30}{3} }[/tex]

On further calculations we get :

[tex] \longmapsto \: \purple{\boxed{ \frak{x = 10}}}[/tex]

Verifying : -

We're verifying our answer by substituting value of x in given equation . So ,

Therefore, our value for x is correct .

First, combine like terms:

4x -58 +x =2 can be rewritten as 5x - 58 =2

Next, isolate the x on one side of the equation by adding 58 to both sides:

5x = 60

Now, isolate x again by dividing by 5 on both sides of the equation:

Answer: x = 12

Answer:

slope is 0(this is just the slope)

intercep in y is (0,6)

if you write it in y=mx+b is 6(this is slope intercept)

Polynomials are expressions. The solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The division of the polynomial  (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,

[tex]\dfrac{4x^3-3x^2+5x+6}{x+6}[/tex]

[tex]=4x^2+\dfrac{-27x^2+5x+6}{x+6}[/tex]

[tex]=4x^2-27x+\dfrac{167x+6}{x+6}[/tex]

[tex]=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}[/tex]

Hence, the solution of the division can be written as [tex]4x^2-27x+167-\dfrac{996}{x+6}[/tex].

Learn more about Polynomial:

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Answer:

Step-by-step explanation:

OPT D ON EDG 2023

Answer:

It would most likely be 25 but there is no definitive way to tell if it would land on 5 at all since it is all up to chance on a spinner, unless it was computer generated then it would be probability.

Step-by-step explanation:

The number of times Camilla should expect to spin a 2 is 600.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Camilla spins a game spinner 1800 times.

The spinner is divided into six equally spaced sections numbered 1-6.

Probability of getting 2 is 2/6

= 1/3

Spin 1800 times

1/3×1800

= 600

Therefore, the number of times Camilla should expect to spin a 2 is 600.

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#SPJ2

Answer:

120 cm^2

Step-by-step explanation:

The area of a rectangle is it's length(l)  times its width(w):  

Area = l*w

Area = (12 cm)*(10 nm) = 120 cm^2

Question :-

Answer :-

[tex] \rule {180pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that the Lenght of Rectangle is 12 cm . Breadth of Rectangle is given 10 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area , we will use the Formula :-

Therefore , by Substituting the given values in the above Formula :-

⇒ Area of Rectangle = Lenght × Breadth

⇒ Area of Rectangle = 12 × 10

⇒ Area of Rectangle = 120

Hence :-

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Answer:

Volume: 16.76 cm^3

Surface area: 40.67 cm^2

Step-by-step explanation:

To find volume, you use the formula V=πr^2*h/3

To find the surface area you use formula A=πr(r+√h^2+r^2)

Answer:

V = 16.76

Surface Area = 40.67

Step-by-step explanation:

V=πr2h

A=πrl+πr2

Answer:

x + 8 = 20

Step-by-step explanation:

Using the keywords;

'more than' (addition)

'a number' which we can consider a variable

and 'equals'

Answer: 8 + x =20

Step-by-step explanation: eight more than a number means 8 more than meaning plus, a number. So this is saying that 8 more than what ever that number is, will equal 20. We say x in the equation because x can be see as “the number”.

x = “the number” = 12

This is because 8 more than 12 is 20...

So 8 more than a number = 8 + x = 20

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{5-2}{2-1}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{3}{1}[/tex]

[tex]\\ \rm\rightarrowtail m=3[/tex]

Answer:

the erroris 3.6%

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer:

The total is 97/100

Step-by-step explanation:

47/100+3/100=50/100 (aka 1/2)

50/100+47/100=97/100

Answer:

47/100+3/10+47/10=97/100

¹

47

47

+3

__

97

Answer:

9x³

Step-by-step explanation:

       I hope this makes sense, whatever is underlined becomes part of our algebraic expression in the next line:

       9 is multiplied by the cube of a number.

       9 * the cube of a number.

       9 * the cube of x.

       9 * x³

       9x³

Answer:

-13.51

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,

so, -13.51

Answer:

4.2

Step-by-step explanation:

Using Pythagoras' theorem

a² + b² = c² where a = 3 and b = 3

3² + 3² = 18²

18² = c²

√18 = c = 4.2

Answer: 114 degrees

Step-by-step explanation:

Answer: g>0

Step-by-step explanation:

edge2022

Answer:

the answer is 324.0 show in the workings

The probability a student did not earn an A on the final exam or entire course is 75%.

This refers to the likeliness for an event to occur, which can be expressed using percentages.

The general formula is the number of specific outcomes/ total of outcomes.

The number of students who did not earn an A on the final exam or entire course: 21 (only 7 students earned an A on both)

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Answer:

Can't answer with out the picture

Step-by-step explanation:

Answer:

yolo its a pdf yolo sub to juice_fox

Answer:

Highly highly likely

Step-by-step explanation:

there is really only a 2/25 chance to pull one, so there is a 23/25 chance to not pull an orange

Answer:

Is there a picture or something?

Step-by-step explanation:

Answer:

x=109 degrees

Step-by-step explanation:

so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra

Just do 33+38+X=180, add 38 and 33 to get 71 then subtract that from 180. X=109

The number of people that went to the amusement park consisted of 26 students and 16 adults.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x is the number of students and y is the number of adults. The bus of 42 people paid $1080 to enter the amusement. Hence:

x + y  = 42   (1)

Also:

20x + 35y = 1080    (2)

From equation 1 and 2:

x = 26, y = 16

The number of people that went to the amusement park consisted of 26 students and 16 adults.

Find out more on equation at: https://brainly.com/question/2972832

Step-by-step explanation:

x = number of t- shirts

the function for the incurring costs is

c = 5x + 45

the function for the accumulating sale is

s = 20x

the break even point is when both functions deliver the same result.

20x = 5x + 45

15x = 45

x = 3

c = s = 5×3 + 45 = 20×3 = $60

they need to sell 3 t-shirts to break even.

at that point they will have incurred $60 in costs and collected the same amount in sales.