simplify the following equation 32m : 2km​

The value of x in the expression 15 = 3(2x + 4) - 3 is 1.

A number, a variable, or a combination of numbers and variables and operation symbols is called expression.

According to the given question.

We have an expression

[tex]15 = 3(2x+ 4) -3[/tex]

Solve the above expression for x.

Step 1: open the parentheses

[tex]15 = 3(2x + 4) -3[/tex]

⇒ [tex]15 = 6x + 12 -3[/tex]

Step 2: simplify the above expression.

[tex]15 = 6x + 9[/tex]

Step 3: subtract 9 to the both the sides

[tex]15 - 9 = 6x + 9 -9[/tex]

⇒[tex]6 = 6x[/tex]

Step 4: Divide both the sides by 4

⇒ [tex]\frac{6}{6} =\frac{6x}{6}[/tex]

⇒ [tex]x = 1[/tex]

Hence, we proved that x = 1 for the above expression.

Find out more information about expression here:

https://brainly.com/question/27911936

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QUESTION:- find the value of x

[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]

[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]

Answer:

x = 24

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , that is

5x + 4x + 6x = 360

15x = 360 ( divide both sides by 15 )

x = 24

Answer:

Step-by-step explanation:

Answer:

ok first we add 9 and 29 together

38

now we add 90

128

so the other angle is

52

so we just use the formulas

and

Side a = 26.56371

Side b = 43.14662

Side c = 34

so the side with a x on it is 26.6

so know we have to do the same thing but not including the top part

ok so the side with x on it is 18.8

so 26.6-18.8=7.8

x=7.8

*WARNING* This shoud be close to the answer but may to up to a couple dp higher or lower sorry i just don't have time to be more accurate

Hope This Helps!!!

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Answer:

D

Step-by-step explanation:

bbbbuujbhhtdddfyuuiiiiiooohhgff

Answer:

D...

Step-by-step explanation:

d is the answer hope it helps

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

Answer:

₹29,710

Step-by-step explanation:

We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710

Answer:

yes both lines have a slope of 2, so they are parallel.

Step-by-step explanation:

Answer:

$342.23

Step-by-step explanation:

35/100 x $390 = $136.50

Price of couch after 35% discount

= $390 - $136.50

= $253.50

35/100 x $253.50 = $88.725

Price of couch after the 35% increase

= $253.50 + $88.725

= $342.225

= $342.23 (round off to nearest cents)

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2

x^2+ ( 2x+2)^2 = (2x+3)^2

FOIL the squared terms

x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9

Combine like terms

5x^2+8x +4 = 4x^2 +12x +9

Subtract  4x^2 +12x +9 from each side

5x^2+8x +4  -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9

x^2 -4x -5 =0

Factor

(x-5) (x+1) = 0

Using the zero product property

x=5   x=-1

But x cannot be negative or we would have negative length

x=5

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

Answer:

8yr7xy9c8ze6X9yc9y8d58f99ff68g

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that [tex]p = 0.18[/tex]

Samples of 250 high school juniors are taken

This means that [tex]n = 250[/tex]

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]

[tex]s = 0.024[/tex]

So 0.024 is the answer.

Answer:

Step-by-step explanation:

The graph represents step function.

That is C(x) = [ x ],

Evaluate C( 3 )

Cost at x = 3 , C( 3 ) = 7

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

Answer:

Step-by-step explanation:

lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!

#keep learning!!

Answer:

Here is your Answer : )

Step-by-step explanation:

1. experiment

2. survey

3.  Interview

4. observation

5. questionnaire

6. Data collection

7. Schedule

8. Manager

9. primary data

10. Primary data

Plz mark as brainiest this took long time

Hope U like it : )

Answer:

∠ DOC = 26°

Step-by-step explanation:

The secant- secant angle DOC is half the difference of the intercepted arcs, that is

∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Answer:

the third one

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

the third one is the answer

Answer:

[tex]x>2[/tex]

Step-by-step explanation:

When given the following inequality;

[tex](x^2+x-3):(x^2-4)\geq1[/tex]

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]

Perform the operation on the other side distribute the negative sign and combine like terms;

[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]

Factor the equation so that one can find the intervales where the inequality is true;

[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

[tex]-1, 2, -2[/tex]

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

[tex]x\leq-2[/tex]   -> negative

[tex]-2<x\leq-1[/tex]   -> neagtive

[tex]-1\leq x <2[/tex]   -> neagtive

[tex]x>2[/tex]   -> positive

Therefore, the solution to the inequality is the following;

[tex]x>2[/tex]

Answer:

b has zero slop mark me as a brilliant

Answer:

A

Step-by-step explanation:

Answer:

B yes, because it pases the vertical line test

Answer: 111 dollars

Step-by-step explanation:

7 hours on Saturday and 4 hours on Sunday

Sunday gets paid 1 1/3, or 4/3 times more which is 9 x 4/3 = 12 per hour

Saturday is 9 per hour

7x9 (Saturday) + 4x12 (Sunday) = 111 dollars

Answer:

1 : 2

Step-by-step explanation:

π / 2π = 1/2

1 : 2

Answer:

Yashoda got 1800

Step-by-step explanation:

Yashoda : Ingrid

3             :   2

Ingrid got 1200

Divide this by 2

1200/2 = 600

Multiply each side by 600

Yashoda : Ingrid

3*600      :   2*600

1800       : 1200

Yashoda got 1800

Answer:

1. 60°

2. 60°

3. 30°

4. 30°

5. 30°

Step-by-step explanation:

to find angleXYZ suntract 180 from 60

angle ZWX=120°

Angle WXY=60°

The diagnals divide the inteesections in half

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.