Solve the equation and state the value of x
3x + 9 + 5x = 81​

Step-by-step explanation:

-6x - 12 - 16 + 16x + 52

10x + 24

Answer:

The equations needed to solve this problem are:

y = 12 + 6x

y = 12x

The number of posters completed by each Avenger will be 24.

Step-by-step explanation:

The information provided are:

Ms. Ironperson has completed 12 posters and will complete 6 more per day.

Mr. Thoro has not started yet but can make 12 per day.

The variable x denotes the number of days and y denotes the number of posters.

So, after x day the number of poster completed by Ms. Ironperson will be:

y = 12 + 6x

And after x day the number of poster completed by Mr. Thoro will be:

y = 12x

Thus, the equations needed to solve this problem are:

y = 12 + 6x

y = 12x

Compute the value of x as follows:

12x = 12 + 6x

6x = 12

x = 2

The number of posters completed by each Avenger is:

y = 12x = 12 × 2 = 24

Thus, the number of posters completed by each Avenger will be 24.

Answer:

Work done = 3750 Joules

Step-by-step explanation:

The force acting in the body should be resolved to it's horizontal component before we can use ut to solve for the problem

Horizontal component= 150 * cos 60

Horizontal component= 150*0.5

Horizontal component= 75N

Work done= Force * distance

Work done= 75*50

Work done= 3750 Nm

Work done = 3750 Joules

Answer:

Step-by-step explanation:

[tex] \sf{3 - x = 5x + 21}[/tex]

Move 5x to left hand side and change it's sign

⇒[tex] \sf{ - x - 5x + 3 = 21}[/tex]

Move 3 to right hand side and change it's sign

⇒[tex] \sf{ - x - 5x = 21 - 3}[/tex]

Collect like terms

⇒[tex] \sf{ - 6x = 21 - 3}[/tex]

Subtract 3 from 21

⇒[tex] \sf{ - 6x = 18}[/tex]

Divide both sides of the equation by -6

⇒[tex] \sf{ \frac{ - 6x}{ - 6} = \frac{18}{-6}} [/tex]

Calculate

⇒[tex] \sf{x = -3}[/tex]

Hope I helped!

Best regards!!

Answer:

x = - 3

Step-by-step explanation:

3 - x = 5x + 21

- x + 3 = 5x + 21

(- x + 3) + (- 3 - 5x) = (5x + 21) + (- 3 - 5x)

(- x + 3) + (- 5x - 3) = (5x + 21) + (- 5x - 3)

- x + 3 - 5x - 3 = 5x + 21 - 5x - 3

- x - 5x + 3 - 3 = 5x - 5x + 21 - 3

- 6x = 18

x = - 18/6

x = - 3

Answer:

4 sq. units

Step-by-step explanation:

Because the vertices of S₂ are the midpoints of S₁, the area of S₂ will be half of that of S₁ which is 16 / 2 = 8. Similarly, because the same process is carried out on S₂ to make S₃, the area of S₃ is 8 / 2 = 4 sq. units.

Answer:

hope this helps friend

Step-by-step explanation:

A = a^2

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Answer:

[tex]\Huge \boxed{-2-m}[/tex]

Step-by-step explanation:

2 + m

Rewrite with variable first.

m + 2

m + 2

Can’t be simplified further.

m - (-2)

Distribute negative sign.

m + 2

-2-m

Rewrite with variable first.

-m - 2

The last expression is not equivalent to m+2.

Answer:

The question is not complete, but I found a similar question (image) that applies to this case:

The correct answer is:

Point N ( or where the arc cuts the horizontal line)

Step-by-step explanation:

From the figure attached to this answer, to copy angle  in the first image on the left onto the inage in the right, Kendric first of all places tha centre of the compass at point M, and extends it to point N, to draw the first arc, which has already been done.

1. Next, the center of the compass should be placed at point N, and extended to the point where the arc touches the inclined line.

2. This measurement is then transferred to the new line, and the center of the compassed placed at point D, and a second arc drawn to cut the first arc.

3. Finally a line is drawn through the point where the two arcs meet to touch point C.

Answer:

Step-by-step explanation:

To solve this question we use ratio and proportion

If in 20 days they ride 3,653.6 km , then

in 1 day they will ride [tex] \frac{3653.6 \times 1}{20} [/tex]

We have the final answer as

Hope this helps you

Answer:

zev=15/100*56=9.6 pages

Answer:

Hey there!

We don't have enough information. 7(n+5) can be written as either the 7 times the sum of n+5, or 7 multiplied by n+5.

Let me know if this helps :)

Answer:

Slope= 2

Step-by-step explanation:

Rate of change can simply be called slope

So the rate of change or slope of the linear function that passes through the points (2, 9) and (-1, 3) is

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

Where y2= 3

Y1= 9

X2= -1

X1= 2

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

Slope= (3-9)/(-1-2)

Slope= -6/-3

Slope= 2

Answer:

Subtraction Property of Equality

Step-by-step explanation:

When solving an equation for a variable (in this case n), we want to move all of the n-terms to 1 side and the non-n terms to the other side. To do this, we can subtract 5.2 from both sides to leave 2.5n by itself. The property we used to do this is the Subtraction Property of Equality which states that if you subtract a quantity from one side of an equation, you must also subtract that same quantity from the other side of the equation.

Answer: A is the right one

Step-by-step explanation:

Consider the linear equation, 2.5n + 5.2 = 35.2.

What property will be used to complete the first step in solving for n?

subtraction property of equality

multiplication property of equality

division property of equality

distributive property

Answer:

It shows for each gallon consumed, we multiply by 30 to get the amount of miles

This applies for the three questions

Step-by-step explanation:

10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.

300/10 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.

150/5 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.

30/1= 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

Answer:

y = -4/3x +8

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

4x+3y = 24

Subtract 4x from each side

3y = -4x+24

Divide each side by 3

y = -4/3x +24/3

y = -4/3x +8

Answer: y = -4/3x +8

Answer:

-5

Step-by-step explanation:

Answer:

[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]

Step-by-step explanation:

Let the candy "Honey Bunny" be labelled as H and the other candies as X.

It is provided that the machine is running out of "Honey Bunny".

So, Lisa wants to program it so that the probability of getting a candy other than "Honey Bunny" twice in a row is greater than 9/4 times the probability of getting "Honey Bunny" in one try.

        P (X₁) × P (X₂)

        P (H₁)

The inequality is as follows:

[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]

Answer:

(1-p)^2>9/4p

Step-by-step explanation:

Answer:

  5 pounds

Step-by-step explanation:

The only thing added or removed from the container was heat, which has no weight. The water has the same weight regardless of its chemical phase (solid, liquid, gas, plasma).

  5 pounds

Answer:

8.9375

Step-by-step explanation:

2.75×3.25=8.9375

According to the question it said increase to and that is why I only multiplied but if the question said increase by then I would have to add my product (8.9375) to the original height of the photo.

Answer:

Hey there!

We have cosine 61=y/500

cosine 61(500)=242.4 ft.

Let me know if this helps :)

Answer:

[tex]$ \frac{2187 \pi}{4}$[/tex]

Step-by-step explanation:

Using Stoke's theorem, we get

[tex]$ \int \int_S curl F.dS = \int_C F.dr$[/tex]

Now parametrize C

r(t) = ( 3 cos t, 3 - 3 sin t )     where, t in [0 2π]

[tex]$ \int_C F. dr= \int_0 ^{2 \pi}F ( 3 \cos t, 3 - 3 \sin t). r'(t)dt$[/tex]

            [tex]$= \int_0^{2 \pi}(( 9 \cos^2 t)(27)(-3\sin t), \sin t \times (-27 \cos t \sin t)) . (-3 \sin t, 0 - 3 \cos t) dt $[/tex]

           [tex]$ = 27 \int_0^{2 \pi} 81 \cos ^2 t \sin ^2 t + 3 \cos ^2 t \sin tdt $[/tex]

           [tex]$ = 27 \int_0^{2 \pi} \frac{81}{4} \sin ^2 2t+27 [ - \cos^3 t]_0^{2 \pi}$[/tex]

           [tex]$ = 27 \times \frac{81}{4} \int_0^{2 \pi} \frac{(1- \cos 4t)}{2} $[/tex]

           [tex]$= \frac{2187}{8}[t-\frac{1}{4} \sin 4t]_0^{2 \pi} $[/tex]

           [tex]$= \frac{2187 \pi}{4}$[/tex]

By using Stokes Theorem the required S curl F.ds is [tex]\dfrac{2187\pi }{4}[/tex].

Given that,

Function F(x, y, z) = (x^2y^3z)i + sin(xyz)j + xyzk,

S is the part of the cone y^2 = x^2 + z^2 that lies between the planes y = 0 and y =3, oriented in the direction of the positive y-axis.

We have to determine,

Use Stokes' Theorem to evaluate S curl F·dS.

According to the question,

By using Stokes Theorem to evaluate S curl F .dS.

[tex]\int\ \int _s curlF.ds = \int _c F.dr\\\\[/tex]

Now parametrize C

r(t) = ( 3 cos t, 3 - 3 sin t ) ,

Where, t in [0 2π]

Then,

[tex]\int_c F.dr = \int^{2\pi }_0 F(3cost, 3-3sint).r'(t)dt\\\\[/tex]

[tex]= \int^{2\pi }_0 ((9cos^2t)(27)(-3sint),(sint) \times (-27cost.sint). (-3sint,0-3cost)dt\\\\= 27 \int^{2\pi }_0 81cos^2t .\ tsin^2t + 3 cos^2t. t sintdt\\\\= 27 \int^{2\pi }_0 \dfrac{81}{4}sin^22t+ 27[-cos^3t]^{2\pi }_0\\\\= 27 \times \dfrac{81}{4} \int^{2\pi }_{0} (\dfrac{1-cos4t}{2})\\\\= \dfrac{2187}{8}[t-\dfrac{1}{4}sin4t]^{2\pi }_0\\\\= \dfrac{2187}{8}[2\pi -\dfrac{1}{4}sin4(2\pi )- 0-\dfrac{1}{4}sin4(0 )]\\\\= \dfrac{2187\pi }{4}[/tex]

Hence, By using Stokes Theorem the required S curl F.ds is [tex]\dfrac{2187\pi }{4}[/tex].

To know more about Integration click the link given below.

https://brainly.com/question/17207150

Answer:

D={3,9}

The numbers are 3 and 9

Step-by-step explanation:

The set A

={,,,,,,,,,}

Let B be the sub set of A containing odd numbers

B={1,3,5,7,9}

Let C be the sub set of A containing multiply of 3

C= {3,6,9}

Now let D be the be the sub set of A containing both odd numbers and multiples of 3

D={3,9}

Answer:

nxjhbfhbfwihsfnjkfdbjbshcxbdbjibebfhdhwhhdhdhffvnfnjehrhffbfgnfjrjhhfrj

Step-by-step explanation:

Standard polynomial form means that the terms are arranged from highest to lowest degree.

The leading coefficient is the number before the highest degree.

The degree of the polynomial is the power of the variable attached to the leading coefficient.

1) This is not in standard polynomial form.

The leading coefficient is -1.

This is a second-degree polynomial.

2) This is in standard polynomial form.

The leading coefficient is 3.

This is a fourth-degree polynomial.

3) This is not in standard polynomial form.

The leading coefficient is 3.

This is a fifth-degree polynomial.

4) This is in standard polynomial form.

The leading coefficient is -4.

This is a fifth-degree polynomial.

5) This is not in standard polynomial form.

The leading coefficient is -5.

This is a third-degree polynomial.

6) This is not in standard polynomial form.

The leading coefficient is -1.

This is a sixth-degree polynomial.

7) This is in standard polynomial form.

The leading coefficient is 2.

This is a second-degree polynomial.

8) This is in standard polynomial form.

The leading coefficient is 1.

This is a second-degree polynomial.

9) This is in standard polynomial form.

The leading coefficient is 1.

This is a third-degree polynomial.

10) This is not in standard polynomial form.

The leading coefficient is 6.

This is a fourth-degree polynomial.

Answer:

$9261

$1261

Step-by-step explanation:

Principal: $8000

Interest rate: 5% PA compounded annually

Time: 3 years

Answer:

According to the picture you have AD AND BC

Step-by-step explanation:

Answer:

[tex]\sqrt{11.5} =w[/tex] (Width)

[tex]4\sqrt{11.5}= Length[/tex]

Step-by-step explanation:

Area of a rectangle: 46 = w(L)

L = 4w

Substitute

46 = 4[tex]w^{2}[/tex]

Divide both by 4

[tex]11.5=w^{2}[/tex]

[tex]\sqrt{11.5} =w[/tex] (Width)

[tex]4\sqrt{11.5}= Length[/tex]

Answer:

[tex] x = \sqrt{30} [/tex]

Step-by-step explanation:

BD is the altitude of the right ∆ which divides the hypotenuse to create two line segments, CD, and AD.

According to the right triangle altitude theorem,

[tex] BD = \sqrt{CD*AD} [/tex]

CD = 3, AD = 7, therefore,

[tex] BD = \sqrt{3*7} [/tex]

[tex] BD = \sqrt{21} [/tex]

Find x using Pythagorean theorem

[tex] x^2 = BD^2 + CD^2 [/tex]

[tex] x^2 = (\sqrt{21})^2 + 3^2 [/tex]

[tex] x^2 = 21 + 9 [/tex]

[tex] x^2 = 30 [/tex]

[tex] x = \sqrt{30} [/tex]

Answer:

The answer is 6

Step-by-step explanation:

2 x 5 = 10

10 - 4 = 6

Hope this helps!

Answer:

6

Step-by-step explanation:

2 x 5 = 10

10 - 4 = 6

I hope this helps!

Answer: 49+64i

Step-by-step explanation:

Concept to know:

i=√-1

i²=-1

i³=-i

[tex]i^{4}[/tex]=1

-------------------------------------

 (-5+8i)(3-8i)

=-15+40i+24i-64i²

=-15+64i-64i²

=-15+64i+64  (remember, i²=-1)

=49+64i

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

8x−14

Step-by-step explanation:

3x - 4 + 5x - 10

=3x+−4+5x+−10

Combine Like Terms:

=3x+−4+5x+−10

=(3x+5x)+(−4+−10)