Determine the solution that exists to the equation below.
8(j-4)=2(4j-16)

Answers

Answer 1

Answer:

infinite solutions

Step-by-step explanation:

8(j-4)=2(4j-16)

Distribute

8j - 32 = 8j - 32

Subtract 8j from each side

8j-8j -32 = 8j-8j -32

-32 = -32

This is always true so there are infinite solutions

Answer 2

Answer:

All Real Numbers Are Solutions

Explanation:

8(j − 4) = 2(4j − 16)

[ Simplify both sides of the equation ]

8(j − 4) = 2(4j − 16)

(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)

8j + −32 = 8j + −32

8j − 32 = 8j − 32

[ Subtract 8j from both sides ]

8j − 32 − 8j = 8j − 32 − 8j

−32 = −32

[ Add 32 to both sides ]

−32 + 32 = −32 + 32

0 = 0

Therefore, all real numbers are solutions.


Related Questions

Someone please help me

Answers

I think the slope is 4.

slope=rise/run

=20/5=4

in a class of 30, 80 percent of students answered a question correctly. how many got it right?

Answers

Answer:

24

Step-by-step explanation:

Take the number of students and multiply by the percentage to see how many got it right

30 *80%

Change to decimal form

30 *.8 =24

24 students got it correct

Find the unit rate:

Carmen received a paycheck of $350 for 49 hours of work.

Answers

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

find the radius!! hurry

Answers

Answer:

r = 18.8

Step-by-step explanation:

We use the circle sector area formula and solve for the radius.

I attached the work to your problem. See the attached file.

A sine function can be used to model light waves. Green light has a wave length, or period of about 520 nm. Which equation best models green light?


A.) y=sin 260/pi theta

B.) y= sin pi/520 theta

C.) y= sin 520/pi theta

D.) y= sin pi/260 theta


Please help

Answers

Answer:

[tex] y = A sin (kx \pm wt)[/tex]

Where k represent the number of wave [tex]k =\frac{2\pi}{\lambda}[/tex] and [tex] w =\frac{2\pi}{T}[/tex] represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

[tex] w = \frac{2\pi}{520}= \frac{pi}{260}[/tex]

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.

Step-by-step explanation:

Since the sine function can be used to model light waves we can use the following general expression:

[tex] y = A sin (kx \pm wt)[/tex]

Where k represent the number of wave [tex]k =\frac{2\pi}{\lambda}[/tex] and [tex] w =\frac{2\pi}{T}[/tex] represent the angular frequency with T the period.

For this case we know tha T = 520 nm

And the angular frequency would be given by:

[tex] w = \frac{2\pi}{520}= \frac{pi}{260}[/tex]

So then the possible anwer for this case would be:

D.) y= sin pi/260 theta

Since is the only option with satisfy the general equation of a wave.

if you roll a fair 6 sided die what is the probability it will roll greater then 6

Answers

Answer:

0 (zero)

the die is six sided............

I hope this helps

Answer:

0!

Step-by-step explanation:

Explain the difference between a nonnumeric growing pattern and a nonnumeric repeating pattern.

Answers

Answer: nonnumeric growing patteren: A repeating pattern has a pattern unit that repeats over and over again. nonnumeris repeating patteren: A growing pattern gets bigger in the same way over and over again.

Please answer this question ;(

Answers

Answer:

20 miles = 32 kilometers

64 kilometers = 40 miles

Step-by-step explanation:

Find GCF=greatest common factor.

Answers

Answer:

1. 24/36 2. 20/35

G.C.F=2/3 G.C.F=4/7

All the answers is good!

Renu wants to put a border of lace around a rectangular table cover 4 m long and 2 m wide..

Find the length of the lace required for the table cover..

Answers

Answer:12m

Step-by-step explanation:

The length of the lace required will be the same as that obtained by calculating the perimeter of that table, so p= (L+W)×2

Hence, P=(4m+2m)×2

P= 12m

Jen and Holly are on the Athletic council and want to put a blow up version on the school mascot in the parking lot. They need to tie it down.
Jen’s rope is 7.8 m long and makes an angle of 360 with the ground. Holly’s rope is 5.9 m long. The wind is really strong so they will secure both ropes to the left of the mascot. How far to the nearest tenth of a metre, is Jen from Holly?

Answers

Answer:

2.6 m

Step-by-step explanation:

In the attached diagram

Consider Triangle ABC

[tex]\sin36^\circ =\dfrac{|BC|}{7.8} \\|BC|=7.8*\sin36^\circ\\|BC|=4.5847$ m[/tex]

Our goal is to determine the distance of Jen (at point A) to Holly (at Point D).

In Triangle ABC

[tex]\cos 36^\circ =\dfrac{|AC|}{7.8} \\|AC|=7.8*\cos36^\circ\\|AC|=6.3103$ m[/tex]

In Triangle BDC

Applying Pythagoras Theorem

[tex]|BD|^2=|BC|^2+|CD|^2\\5.9^2=4.5847^2+|CD|^2\\|CD|^2=5.9^2-4.5847^2\\|CD|^2=13.7905\\|CD|=\sqrt{13.7905}=3.7136$ m[/tex]

Now, |AC|=|AD|+|DC|

6.3103=|AD|+3.7136

|AD|=6.3103-3.7136

|AD|=2.5967

|AD|=2.6m (correct to the nearest tenth of a metre)

The distance of Jen from Holly is 2.6m.

The number i can be raised to whole number powers.

Look at the first four powers of i shown, and then use the drop-down menus to evaluate the expressions below.

Answers

Answer:

[tex]i^{8}=1[/tex] and [tex]i^{34}=-1[/tex] will be the answer.

Step-by-step explanation:

Since i = [tex]\sqrt{(-1)}[/tex]

i² = (-1)

[tex]i^{3}=-i[/tex]

[tex]i^{4}=(-1)^{2}[/tex] = 1

[tex]i^{8}=1^{2}[/tex] = 1

[tex](i^{8})^{2}=1[/tex]

[tex]i^{34}=[i^{17}]^2[/tex]

     = [tex](i^{8}\times i^{8}\times i)^{2}[/tex]

     = [1 × 1 × √(-1)]²

     = 1² × 1² × [√(-1)]²

     = (-1)

Therefore, [tex]i^{8}=1[/tex] and [tex]i^{34}=-1[/tex] will be the answer.

MATH HOMEWORK HELP PLEASE

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]r=\frac{\frac{4}{25} }{\frac{2}{5} } \\r=\frac{4}{25} \times \frac{5}{2} =\frac{2}{5} <1\\s_{\infty}=\frac{a}{1-r} =\frac{\frac{2}{5} }{1-\frac{2}{5} } =\frac{2}{5} \times \frac{5}{3} =\frac{2}{3}[/tex]

Please help with this question!!! It’s rlly simple!

Answers

Answer:

D. Multiply the second equation by 5

The best answer would have been to multiply the first equation by 1

I hope it helps

What is the result of subtracting the second equation from the first -2x+7y=-5 -2x-4y=6

Answers

Answer:

0x+11y=-11

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

y=-1

Step-by-step explanation:

-2×+7y=-5

- -2×-4y=6

11y=-11

But you don't leave the answer like that

You need to simplify

So

11y=-11

y=-11

11

y=-1

Find the value of x in the isosceles triangle shown below

Answers

Answer:

the value of x is 8

x=8

HOPE IT'S HELP

Please help and get points

Answers

Answer:

???

what is the question

Step-by-step explanation:

Answer:

What is your question

Step-by-step explanation:

Please help! Correct answers only please!

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Can someone help me with this math homework (8th grade algebra)

Answers

What do you need help with. I will do it

6+1•4-3=? Can someone explain

Answers

Answer: 7

Step-by-step explanation:

1 x 4 = 4

6+4= 10

10-3=7

A cube fish tank has a side length of 12 inches. What is the surface area of the fish tank, including the base and lid? Answer without units

Answers

Answer:

864

Step-by-step explanation:

Because the tank is a cube, all 6 faces have dimensions of 12 by 12. Therefore, the surface area is 6 * (12 * 12) = 864 (in²)

A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3, 4)?

Answers

Answer:

(9,12).

Step-by-step explanation:

If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as

[tex]P(x,y)=P'(kx,ky)[/tex]

It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,

[tex]P(x,y)=P'(3x,3y)[/tex]

We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.

[tex]P(3,4)=P'(3(3),3(4))[/tex]

[tex]P(3,4)=P'(9,12)[/tex]

Therefore, the image of a vertex located at (3, 4) is (9,12).

Answer: 9,12

Step-by-step explanation:

Help thank you show work

Answers

Answer: x = 12 degrees.

Step-by-step explanation:

The triangle ABC is a right triangle, which means that it has a right angle of 90 degrees.

This is represented by the small square on the bottom-left corner of the triangle.

The angle DBC is 78 degrees. There is also the angle of ABD, which is represented by X.

The right angle is equivalent to 78 degrees and x. You can represent this in an equation, where the sum of 78 degrees and x = 90 degrees, the right angle:

78 + x = 90

x = 12

Which compound inequality could this graph be the solution of

Answers

Answer:

2x + 3 ≥ 11 or 4x - 7 ≤ 1

Step-by-step explanation:

2x + 3 ≥ 11 or 4x - 7 ≤ 1 is the correct answer for this question.

2x + 3 ≥ 11 and 4x - 7 ≤ 1

⇒ 2x ≥ 8 and 4x ≤ 8

⇒ x ≥ 4 and x ≤ 2

Hope this helps.

Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months. What is the total amount of money Mike will save during the first 11 months if he saves $150 each month?

Please need steps

Answers

Answer:

$1650

Based on the question, we don't need the information that Mike wants to save 1750 in 12 months.

We just need to focus on how he is saving 150 every month, for 11 months.

150*11=1650

He will save $1650 if he saves $150 every month for 11 months.

Step-by-step explanation:

Can i get brainiliest plz

Pls help me with this question

Answers

Answer:

V = h·w·t cm³

Step-by-step explanation:

The volume is calculated no different than you would with a box.

V= length x width x height and yes centimeters cubed Answer:

Step-by-step explanation:

The radius of a cylindrical water tank is 4 ft , and its height is 10 ft . What is the volume of the tank?
Use the value 3.14 for , π and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

2010 cu ft to the nearest whole number.

Step-by-step explanation:

Volume = π r^2 h

= 3.14 * 4^3 * 10

= 2009.6

The volume of the water tank is approximately 502 cubic feet.

What is a cylinder?

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

The volume V of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height.

Substituting the given values, we get:

V = π (4 ft)² (10 ft)

V = 3.14 (16 ft²) (10 ft)

V = 502.4 ft³

Rounding this answer to the nearest whole number gives a final answer of V = 502 ft^3.

Therefore,

The volume of the water tank is approximately 502 cubic feet.

Learn more about cylinder here:

https://brainly.com/question/15891031

#SPJ2

From a group of 7 men and 6 women, five people are to be selected to form a committee. How many different committees can be formed from this group?

Answers

You can form 6 groups
I hope it was helpful

You roll a fair 6-sided die.
What is P(not 3)?

Answers

Answer:

The answer would be 5/6.

Step-by-step explanation:

What is the measure of angle TQR?

Answers

Angle TQR equals to 70 degrees

First you have to find the value of x. An inscribed quadrilateral in a circle has it that opposite angles are supplementary.

So set the angles STQ and SRQ to 180.

3x+5+5x+15=180
8x+20=180
8x=160
x=20

Then find the angles of the three by substituting 20 as x.

Angle STQ=65
3(20)+5
60+5
65

Angle RST=110
4(20)+30
80+30
110

Angle SRQ=115
5(20)+15
100+15
115

Exterior angles of a quadrilateral equal to 360 when added together. So subtract the values from 360 to get the missing length.

360-115-110-65=70

So angle TQR=70
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