Y and x have a proportional relationship, and y=4 when x=12

Answers

Answer 1

Answer:

multiply 4 by 12 okay bro

Answer 2

Answer:

y = [tex]\frac{1}{3}[/tex] x

Step-by-step explanation:

Given that y and x are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 4 when x = 12 , then

4 = 12k ( divide both sides by 12 )

k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of proportion


Related Questions

Use the circle to represent the following situation and show how you came up with the answer.

For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
What angle does one slice make?

Answers

Answer:

look below bestie

Step-by-step explanation:

ok so i dont know most of it (sryy) but the area of the entire pizza is 535.84in², the radius of the pizza is about 13.05 and yea. thats all i got

Please help me this on the picture

Answers

Answer:

Step-by-step explanation:

Find the principle that yields and interest of Rs.2240 at the rate of 10% p.a. in a years 6 months.​

Answers

Step-by-step explanation:

I=PRT/100

p=I/RT×100

p=2240/10×2×100

p=11200

draw the graphs of the lines represented by the equations 3x-4y=1 and 4x-3y=6 in the same graph. also find the coordinates of the point where the two lines intersect​

Answers

Answer:

I've attached the graph with it, the intersection point is,

x = 3, y = 2

Which expression is equivalent to −24x+72?

−24(x−72)negative 24 times open paren x minus 72 close paren

−24(x−3)negative 24 times open paren x minus 3 close paren

24(x+3)24 times open paren x plus 3 close paren

24(x+72)

Answers

Answer:-24(x-3) = -24x (-24)(-3)

Step-by-step explanation:

Answer:

eat my hand where the pic

Step-by-step explanation:

yeah

Help with this question

Answers

Step-by-step explanation:

Hey there!

Given;

-6(2x-9) + (7-6x) = 0

Simplify it.

-12x + 54 + 7 - 6x = 0

-18x +61 = 0

Therefore, answer is option B.

Hope it helps!

The answer is -6x + 61 so therefore the answer is D

A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15, how much is the cost of the pair of pants?​

Answers

15 divided by two is 7.5 and ten plus 7.5 is 17.5…. It says less than half the cost so I would round down to get $17 for the pain of pants

The cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15.

Let x be the cost of the pair of pants.

The value of x can be found as follows:

x = 15/2 + 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x = $17.5  

Thus, the cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

10700 by 100 + 5192by 1000 - 412

Answers

Answer:

the answer is -299.808 well that's what I think it's

Answer:

-299.808

Step-by-step explanation:

= 10700/100 + 5192/100 - 412

= 107 + 5.192 - 412

= -299.808

A group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, find the probability that exactly two undergraduates will be among the four chosen.

Answers

Answer:

[tex]Pr = 0.4286[/tex]

Step-by-step explanation:

Given

Let

[tex]U \to\\[/tex] Undergraduates

[tex]G \to[/tex] Graduates

So, we have:

[tex]U = 3; G =5[/tex] -- Total students

[tex]r = 4[/tex] --- students to select

Required

[tex]P(U =2)[/tex]

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]

So, we have:

[tex]Total = ^{U + G}C_r[/tex]

[tex]Total = ^{3 + 5}C_4[/tex]

[tex]Total = ^8C_4[/tex]

[tex]Total = \frac{8!}{(8-4)!4!}[/tex]

[tex]Total = \frac{8!}{4!4!}[/tex]

Using a calculator, we have:

[tex]Total = 70[/tex]

The number of ways of selecting 2 from 3 undergraduates is:

[tex]U = ^3C_2[/tex]

[tex]U = \frac{3!}{(3-2)!2!}[/tex]

[tex]U = \frac{3!}{1!2!}[/tex]

[tex]U = 3[/tex]

The number of ways of selecting 2 from 5 graduates is:

[tex]G = ^5C_2[/tex]

[tex]G = \frac{5!}{(5-2)!2!}[/tex]

[tex]G = \frac{5!}{3!2!}[/tex]

[tex]G =10[/tex]

So, the probability is:

[tex]Pr = \frac{G * U}{Total}[/tex]

[tex]Pr = \frac{10*3}{70}[/tex]

[tex]Pr = \frac{30}{70}[/tex]

[tex]Pr = 0.4286[/tex]

Please help i do not understand

Answers

Answer:

OPTION A

I CHOSE OPTION A AS THE ANSWER BECAUSE OPTI0N D CANNOT BE TRUE ACCORDING TO THE QUESTION AND OPTION B AND C ARENT TRUE BECAUSE IT WAS MENTIONED THAT AT 3 HOURS THE COST WOULD BE 140 $ BUT IN OPTION B IT SHOWS THAT THEY ALREADY ACHIEVED 200$ BEFORE IT EVEN BECAME 3 HOURS AND IT ISNT OPTION C BECAUSE IT  CROSSED 150$ WHILE IT WAS 3 HOURS SO MOST LIKELY THE ANSWER IS TO BE OPTION A.

HOPE THIS HELPS YOU....

the Marked price of an article is rupees 1600 if it is sold for rupees 1472 what is the discount rate​

Answers

Step-by-step explanation:

1600-1472=128

128/1600×100

EVALUATE: 10x – 2y3 (if x = 5 and y = 2)​

Answers

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

y = –2x2 - 4x – 6 has how many real roots?

Answers

Answer:

Step-by-step explanation:

None

They are both imaginary or complex. You can check that out by calculating the discriminate. If you get a minus answer, then there are no real roots. Let's try it.

a = - 2

b = - 4

c = - 6

D = sqrt(b^2 - 4*a * c)

D = sqrt( (-4)^2 - 4*(-2)(-6)  )

D = sqrt( 16 - 48)

D = sqrt(-32) which is negative and there are no real roots.

757divide 100=to in hours and minutes

Answers

Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number

Answers

11 is the mystery number

Answer:

The mystery number is 11

Step-by-step explanation:

→ Set up an equation

( 10 + 4 + 7 + x ) ÷ 4 = 8

→ Multiply both sides by 4

21 + x = 32

→ Minus 21 from both sides

x = 11

2. Sum of two numbers = 16
Difference of the numbers = 6
Find the numbers.
What is their product?

Answers

The numbers are 11 and 5
There product is 55

Answer:

Step-by-step explanation:

let the  numbers be x and y.

x+y=16

x-y=6

add

2x=22

x=22/2=11

11+x=16

x=16-11=5

product xy=11×5=55

1. You are a contestant on the Wheel of Fun. The spinner contains 4 red panels,
5 yellow panels, a bankrupt panel, 7 blue panels and two free spin panels.
Utilize this given information to calculate the following probabilities:

a. Probability of a spin landing on a red panel.

b. Probability of a spin landing on anything but a blue panel.y that

C. Probability of a spin landing on a yellow or red.

d. Probability of a spin landing on a any non-color panel.
Okay

Answers

Answer:

We have:

4 red panels

5 yellow panels

1 bankrupt panel

7 blue panels

2 free spin panels

for a total of:

4 + 5 +1 + 7 + 2 = 19 panels.

And we can assume that all the panels are equal, so the probability of landing on every single one is the same.

a) Probability of a spin landing on a red panel.

This will be equal to the quotient between the number of red panels (4) and the total number of panels (19)

P = 4/19 = 0.211

b) Probability of a spin landing on anything but a blue panel

There are 7 blue panels and a total of 19 panels.

then 19 - 7 = 12 panels are not blue.

The probability of not landing on a blue panel will be equal to the quotient between the number of panels that are not blue (12) and the total number of panels (19)

P  = 12/19  = 0.632

c)  Probability of a spin landing on a yellow or red.

There are 4 red and 5 yellow ones, so there are 4 + 5 = 9 panels that are either red or yellow.

The probability is computed in the same way as in the above cases, here we have:

P = 9/19 = 0.473

d)  Probability of a spin landing on any non-color panel.

The non-color panels are:

1 bankrupt panel and 2 free spin panels, for a total of 3 non-color panels.

The probability is computed in the same way as above, so we get:

P = 3/19 = 0.158

Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 3 months, and 1 airline to choose from. How many different vacation packages do they offer?

=___

Answers

3 is the correct answer I believe

What is the volume of the rectangular prism?

Answers

Answer:

94.5 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by the formula:

A = lwh

Where:

l = length

w = width

h = height

Volume is how much space a 3d figure occupies.

USE THE FORMULA WITH THE GIVEN DIMENSIONS:

A = (7)(4.5)(3)

= (31.5)(3)

= 94.5

Volume is measured in cubic yards, in this case.

Therefore your answer is 94.5 yd^3

I hope I helped!

Answer:

Step-by-step explanation:

length = 7 yd

Width = 4.5 yd

height = 3 yd

Volume of rectangular prism = length * width * height

                                                = 7 * 4.5 * 3 = 94.5 yd³

Two high school basketball players each played 5 games. Their stats are summarized below:

Player A: Stats on 5 games → mean points scored = 25, standard deviation = 4
Player B: Scored 23, 27, 28, 22, 25 points on 5 consecutive games

Suppose a university basketball scout (a person who finds new players for a university's team) is deciding which player to recruit. Who should they choose? Justify your response. [3 marks]

HINT: Compare mean and variance of each player.

Answers

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)

Answers

Answer

15x^4+2x^3+8x^2-15

Answer:

15^4+2^3−8^2−22−15

Step-by-step explanation:

(3^2−2−3)(5^2+4+5)

Distribute:

3(5^2+4+5) ⋅ ^2−2(5^2+4+5) − 3(5^2+4+5)

15^4+12^3+15^2 − 2(52+4+5) − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 15^2−12−15

Combine like terms:

15^4+12^3−10^3+15^2−8^2−15^2−10−12−15

15^4+2^3+15^2−8^2−15^2−10−12−15

15^4+2^3−8^2−10−12−15

15^4+2^3−8^2−22−15

15^4+2^3−8^2−22−15

hope it helps :)

please mark brainliest!

Which value is the closet approximation of the square root of 27

A 4.5
B 5
C 5.5
D 5.9

Answers

the answer is B 5

the actual answer is 5.1 so round it down and it is 5

for what value of x does 4^x=(1/8)^x+5?

Answers

Use main properties of powers

(a^m)^n=a^{m\cdot n};(am)n=am⋅n;

\dfrac{1}{a^n}=a^{-n}an1=a−n

to simplify given equation.

1.

4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.

2.

\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.

3. Then the equation is

2^{2x}=2^{-3x-15}.22x=2−3x−15.

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.​

Answers

Given:

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]              ...(i)

Surface area of a sphere:

[tex]A=4\pi r^2[/tex]                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

[tex]V=\dfrac{28}{3}\times A[/tex]

[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]

Multiply both sides by 3.

[tex]4\pi r^3=112\pi r^2[/tex]

[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]

[tex]r=28[/tex]

Using (i), the volume of the sphere is:

[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]

[tex]V\approx 91989[/tex]

Using (ii), the surface area of the sphere is:

[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]

[tex]A=9856[/tex]

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.

To the nearest year, when will the two accounts have the same balance?

Answers

9514 1404 393

Answer:

  after 89 years

Step-by-step explanation:

For principal p, interest rate r, and number of years t, the two account balances are ...

  a = p·e^(rt) . . . . continuous compounding

  a = p(1+r)^t . . . . annual compounding

Using the given values, we have

  3000·e^(0.07t) . . . . . compounded continuously

  20000·1.05^t . . . . . . compounded annually

We want to find t so these are equal.

  3000·e^(0.07t) = 20000·1.05^t

  0.15e^(0.07t) = 1.05^t . . . . divide by 20,000

  ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms

  ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t

  t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t

  t ≈ 89.4 ≈ 89

The two accounts will have the same balance after 89 years.

Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

Answers

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let x represent 20¢ coins and y represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

[tex]x=y+4[/tex]

And the total value of all her coins is $3.80. Thus:

[tex]0.2x+0.05y=3.8[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]

We can solve by substitution. Substitute the first equation into the first:

[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]

Distribute:

[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]

Combine like terms:

[tex]\displaystyle 0.25y = 3[/tex]

And divide both sides by 0.25. Hence:

[tex]y=12[/tex]

Thus, Amy has 12 5¢ coins.

Using the first equation:

[tex]x=y+4[/tex]

Substitute:

[tex]x=(12)+4=16[/tex]

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

marked price of an item is 4000, what will be it's selling price having 20% discount and 10% vat.​

Answers

Answer:

I HOPE IT WILL HELP

EXPLANATION IS IN THE PHOTO .

Another way to do it is by

Multiplying the original value by the discounted percent, the percent taxed but add one to it.

(4,000)(.80)(1+10/100)= 3,520

4000 is the original value
.80 is the value of the item with 20% off
1.1 gives value after tax, adding the one allows you to see the value of the item after tax.




PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Complete question is;

In the triangles attached , DF is congruent to MN,DG is congruent to MP, angle D is congruent to angle P. Can you prove that triangle DFG is congruent to MNP.

Answer:

Proved below

Step-by-step explanation:

From the attached triangles, we can see that;

∠D corresponds to ∠M

∠F corresponds to ∠N

∠G corresponds to ∠P

But we are told that ∠D is congruent to ∠P. Thus, since we have 2 other congruent sides in the triangles, we can conclude that Side-Angle-Side Postulate (SAS) congruency theorem that triangle DFG is congruent to MNP.

4. a) x2 + xy2 + y 4

Answers

Answer:

x2 + xy2 + y 4=(x+y^2)^2-xy^2

Step-by-step explanation:

please hurry!!
What is the equation, in point-slope form, of the line that
is parallel to the
given line and passes through the point
- 1, - 1)?

Answers

Answer:

y + 1 = 2(x+1)

Step-by-step explanation:

hope this helps

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But the practice of non-violent protest, or civil disobedience, started long before either Gandhi or King. It began with a quiet, shy poet who is best known for writing a lot about a pond. Henry David Thoreau lived from 1817 until 1862, mainly in the area of Concord, Massachusetts. The issue that would tear the country apart in the 1860s had already begun dividing the nation. Thoreau was only 14 when Nat Turner led the slave rebellion in Virginia and was later hanged. In his late 20s, Thoreau began speaking against slavery in public, echoing the voices of freedmen like Frederick Douglass and Lewis Hayden.Thoreau believed that a government that supported slavery was corrupt and immoral. He was also deeply suspicious of government. For these and other reasons, Thoreau refused to pay his poll tax for a number of years. The poll tax was a legal tax owed by every person. It was basically a tax on one's body. After not paying for years, he was at last arrested. He spent only one night in jail, however, as a relative paid the tax for him. He was reportedly furious that any tax was paid on his behalf.It was this experience that Thoreau wrote about in an essay called "Civil Disobedience." In this essay, he argued that being moral and just came before allegiance to government. He wrote If the machine of government is of such a nature that it requires you to be the agent of injustice to another, then, I say, break the law." He also felt that voting was not enough to ensure that the right thing be done. He wrote that "even voting for the right is doing nothing for it A wise man will not leave the right to the mercy of chance" He felt that one had a moral responsibility to resist unjust laws.Which line from Part 1 best explains Thoreau's message? 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