There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?

Answer:

512 gallons of water

Step-by-step explanation:

8 to the power of 3 simply means 8 times 8 times 8.

hoped it helped.

Answer:

a) The very first one where the line starts to the left

b) m=125.82

c) 320.81 thousand dollars

Step-by-step explanation:

a) The point on the graph who corresponds to x=3 years and Salary=$200,000 is the very first one where the line starts to the left

b) If a line is given by Y=mx+b, m represents the slope of the line. In this case, m=125.82 which can be interpreted as the rate of growth of the salary per year in thousands of dollars. A doctor can expect to earn 125.82 thousand dollars more than the previous year.

c) If we use the given regression line Y=125.82x-182.47 and make x=4, we get

y=125.82 (4)-182.47 =320.81 thousand dollars

Answer:

2, 9, 28

Step-by-step explanation:

To find the first 3 terms substitute n = 1, 2, 3 into the formula, that is

1³ + 1 = 1 + 1 = 2

2³ + 1 = 8 + 1 = 9

3³ + 1 = 27 + 1 = 28

The first 3 terms are 2, 9, 28

The volume of the solid is 420 cm³

Step-by-step explanation:

The volume a rectangular prism is calculated as the product of its length, width and height.

Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height

Given that the dimensions of the rectangular prism as;

Length=20 cm

Width= 5 cm

Height = 5 cm

V=20*5*5= 500 cm³

The rectangular prism shaped hole dimensions are;

Length= 20 cm

width= 2 cm

Height= 2 cm

Volume= 20*2*2=80 cm³

The volume of the solid will be: volume of rectangular prism-volume of the hole

Volume= 500-80=420 cm³

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The volume of the solid rectangular prism with a hole is 420 cm³.

To find the volume of the solid rectangular prism with a hole, we follow these steps:

Volume of the Outer Rectangular Prism:

Using the formula V = l * w * h, where l is the length, w is the width, and h is the height of the outer rectangular prism:

Volume of the outer prism (V_outer) = 20 cm * 5 cm * 5 cm = 500 cm³.

Volume of the Rectangular Prism-shaped Hole:

Using the same formula for the inner rectangular prism:

Volume of the hole (V_hole) = 20 cm * 2 cm * 2 cm = 80 cm³.

Volume of the Solid:

Subtracting the volume of the hole from the volume of the outer prism:

Volume of the solid (V_solid) = V_outer - V_hole = 500 cm³ - 80 cm³ = 420 cm³.

Therefore, the volume of the solid rectangular prism with a hole is 420 cm³.

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Answer:

Parallelogram

Step-by-step explanation:

The Answer:

D

Step-by-step explanation:

d=53

The value of k that makes the system of equations have no solution is k = -0.25. This is because -0.25 makes the third equation parallel to the first two, resulting in no intersection or solution to the system.

The system of equations provided relates to the concept of systems of linear equations in mathematics. When a system of equations has no solution, it means the graphs of the equations do not intersect. To find the value of k where there is no solution, we determine when the planar coefficients of each equation are proportional. This occurs when the two planes are parallel and hence, do not intersect.

By examining the coefficients, we notice that dividing the coefficients from the first equation by -4 gives us the coefficients of the second equation, meaning the first two equations represent the same plane. Thus, k does not affect the first two equations. For the system to have no solutions, the third plane must be parallel to the first two, meaning the coefficients must have a ratio equal to k. If we set the coefficients from the third equation with the coefficients from the first one, we end with the proportion k/1 = 1/-4 = 3/10. Solving for k gives us a value of -0.25.

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Answer:

times it by 3 on both sides should get 180

Step-by-step explanation:

Answer:

Step-by-step explanation:

       A line passes through the points [tex](2,-6)[/tex] and [tex](4,-3)[/tex].

To find the point-slope form of the line, we need a point on the line and the slope of the line.

As we have two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex], the slope can be calculated as [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

       Slope of the line = [tex]\dfrac{-3-(-6)}{4-2}=\dfrac{3}{2}[/tex]

Given a line with slope [tex]m[/tex] and a point [tex](x_{1},y_{1})[/tex], slope-point form is [tex]y-y_{1}=m(x-x_{1})[/tex]

       Line is given by [tex]y+6=\frac{3}{2}(x-2)[/tex]

∴ The line is given by [tex]y+6=\frac{3}{2}(x-2)[/tex]

Final answer:

The correct point-slope form equation with the points (2, -6) and (4, -3) is y + 6 = 3/2(x - 2), after finding the slope of 3/2 and applying it to the point-slope formula using either of the points.

Explanation:

Firstly, let's find the slope of the line passing through the points (2, -6) and (4, -3). The slope formula is
(y₂ - y₁) / (x₂ - x₁), so plug in the values to get (-3 - (-6)) / (4 - 2) = 3 / 2.

Now we know the slope is 3/2, we can write a point-slope form equation, which is y - y₁ = m(x - x₁). We can use either of the given points; let's use (2, -6). Substituting these values into the point-slope formula gives us: y - (-6) = 3/2(x - 2).

Thus, the correct point-slope form equation produced with the points (2, -6) and (4, -3) is: y + 6 = 3/2(x - 2).

Answer:

The total profit for the six month of Jaxon's business is $335.

Step-by-step explanation:

Here, the profit in the business for the first month = $450

Now, the company suffers for loss of $ 60 per month for 4 months.

SO, the total loss in 4 months = 4 x ( loss in 1 month)

= 4 x ( $ 60)  = $240

So, the combined loss in next four months  = $ 240

Lastly, the profit in the final sixth month of business =  $ 125

So, combined PROFIT in the business = Profit in( First + Sixth)  Month  

                                                       = $ 450+ $ 125 = $575

Total loss in the six months  = $ 240

Now, total profit for the six month of Jaxon's business

= Total Profit - Total Loss

= $575 -  $ 240 = $335

Hence, the total profit for the six month of Jaxon's business is $335.

Answer:

The length of the rectangle is x+3.

Step-by-step explanation:

(x^2+x-6)/(x-2)=x+3

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6, which is the area.

Since the width is x-2, you can find the length very easily.

Answer:

$23.41

Step-by-step explanation:

Add the cost of each item together.

$9.95 + $13.46 = $23.41

And there may have been sales tax as well but this information was not provided so it is not needed in the answer.

Answer:

k=9

Step-by-step explanation:

1/4k=3(-1/4k+3)

1/4k=-3/4k+9

1/4k-(-3/4k)=9

1/4k+3/4k=9

k=9

Answer:

20 seconds

Step-by-step explanation:

The distance to cover between the lead skater and trailing skater is 40 meters

The lead skater's rate is 12 m/s

The trailing one's rate is 14 m/s

So, we can say:

second skater is accelerating, or covering up the distance, in 14 - 12 = 2 m/s

So, at a rate of 2 meters per second, how long would it take to cover 40 meters??

We use the distance formula, substitute the known and solve for unknown.

Distance Formula = D = RT

Where

D is distance

R is speed/rate

T is time

We know

r = 2 m/s

d = 40 m

t = ?

Now,

D = RT

40 = 2t

t = 40/2

t = 20 (seconds)

Hence,

it will take 20 seconds for the second skater to catch up (pass)

Answer: your answer is four

Step-by-step explanation: I basically did 80-56 since he bought a shirt that cost 56 dollars so then from that we found out how much money he has left which is $24 now since were looking for the amount of socks he could possible but I then divide $24 by 6 since each pair cost $6 which then gives you 4.

Answer:

p=0.15 p'=0.24 Option D

Step-by-step explanation:

Every 14 minutes, a type of bacteria reproduces itself. The whole situation represents also a relationship and a function. It multiplies itself all the 14 minutes, that is an exponential function.

Therefore, the final answer is "Option B".

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Answer:

both a relation and a function

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{2} x + 2[/tex].

Step-by-step explanation:

From the given table it is clear that x and y are linearly related.

Now, any two points that satisfy the relation between x and y are sufficient to express the equation.

The first two given points are (2,3), and (4,4).

Therefore, the equation is [tex]\frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}[/tex]

⇒ [tex]y - 4 = \frac{1}{2} (x - 4)[/tex]

⇒ [tex]y - 4 = \frac{1}{2} x - 2[/tex]

⇒ [tex]y = \frac{1}{2} x + 2[/tex]. (Answer)

Answer:

A

Step-by-step explanation:

bc i said so

Answer:

Simplify the expression.

16y^2a - 36x^2b

Step-by-step explanation: hope this helps!

[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d = 6 \end{cases}\implies C=6\pi \implies C\approx 18.85[/tex]

Rounding to the nearest ten thousands, look at the thousands number, if it is 5 or higher round up, if it is less than 5 round down.

The thousands number is 3, so round down to the neareast ten thousands:

The answer would be 20,000

The number 23,478  rounded to the nearest ten thousands is 20,000

From the question, we have the following parameters that can be used in our computation:

Number = 23,478

By definition, to round a number to the nearest nearest ten thousands, look at the next place value to the right (the hundred thousands)

Using the above as a guide, we have the following:

Number = 20,000 to to the nearest ten thousands

Hence, the number to to the nearest ten thousands is 20,000

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Step-by-step explanation:

For the given figure PQRS:

Given:

[tex]PS\perp SQ[/tex]    

[tex]RQ\perp QS[/tex]

[tex]PQ\cong RS[/tex]

To prove

[tex]\triangle PSQ\cong \triangle RQS[/tex]

In Δ PSQ and ΔRQS

[tex]PS\perp SQ[/tex]                             [Given]

[tex]\angle PSQ=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle PSQ[/tex] is a right triangle      [Definition of right triangles]

[tex]RQ\perp QS[/tex]                             [Given]

[tex]\angle RQS=90\°[/tex]                     [Definition of perpendicular lines]

[tex]\triangle RQS[/tex] is a right triangle      [Definition of right triangles]

[tex]PQ\cong RS[/tex]                   [Given hypotenuse of both triangles congruent]

[tex]SQ\cong QS[/tex]     [ By reflexive property of congruence side QS

                              congruent to itself ]

[tex]\triangle PSQ\cong \triangle RQS[/tex]     [H.L. congruence postulate]

Thus triangles are are congruent by Hypotenuse Leg postulate.

Answer:

THE HEIGHT OF THE KITE FROM THE GROUND=80mtr

Step-by-step explanation:

let H be the height of kite from ground

[tex]\sin\theta[/tex]=[tex]\frac{height}{hypotenuse}[/tex]

[tex]\sin\90[/tex]=[tex]\frac{H}{80}[/tex]

1=[tex]\frac{H}{80}[/tex]

H=80meters

Answer:

Step-by-step explanation:

if we divided 24/8 we can see that i takes 1 cup of flower for every 3 muffins so what divided by 3 gives us 30? 10 so you would need 10 cups

Answer:

The simple interest on the given principal after 1 year = Rs. 1,000

The amount Rishav has to pay after an year  = Rs 11,000

Step-by-step explanation:

Here, the Principal amount taken = Rs 10,000

Rate of Interest = 10%

Time Period  = 1 year

Now, the SIMPLE INTEREST  = [tex]\frac{P \times R \times T}{100}[/tex]

or, [tex]SI = \frac{10,000 \times 10 \times 1}{100}  = 1,000[/tex]

So, the simple interest on the given principal after 1 year = Rs. 1,000

Now, Amount = Principal + Simple Interest

or , A = 10,000 + 1,000 =  11, 000

Hence, the amount Rishav has to pay after an year  = Rs 11,000

The total number of game booths is 36, with the students setting up 30 booths denoting 5/6 of the total, and teachers setting up the remaining 6 booths which corresponds to 1/6 of the total.

The student question asks about finding the total number of game booths if 5/6 of them were set up by students, and it is known that students set up 30 booths. First, we assume the fraction 5/6 represents the portion of booths that the students were responsible for setting up. Since 5/6 equates to the 30 booths the students set up, each fraction of 1/6 represents 6 booths (30 divided by 5). As there are 6 fractions of 1/6 in a whole, to find the total (which is 6/6), you simply multiply 6 (the value of 1/6) by 6.

The calculation is as follows: 6 booths per 1/6 x 6 = 36 game booths in total. Therefore, the teachers set up the remaining sixth, which corresponds to 6 game booths, making the combined total 36. This result indicates that there is a total of 36 game booths when we include the contributions from both students and teachers.

In this case, There are 36 game booths in total.

Let's denote the total number of game booths as T.

According to the information given, 5/6 of the game booths were set up by the students.

Since the students set up 30 game booths, we can write the following equation:

[tex]\[\frac{5}{6}T = 30\][/tex]

To find the total number of game booths, T, we need to solve for T.

We can do this by multiplying both sides of the equation by the reciprocal of 5/6, which is 6/5:

[tex]\[T = 30 \times \frac{6}{5}\][/tex]

Now, we calculate the value of T:

[tex]\[T = 30 \times \frac{6}{5}\][/tex]

T = 36

 Therefore, there are 36 game booths in total.

The equivalent time to 2 h 26 min is 146 min ⇒ 2nd answer

Step-by-step explanation:

Let us revise how to change a time from hours and minutes to minutes

Ex: change 3 h 13 min to min, Multiply 3 by 60 and then

and the answer by 13 [(3 × 60) = 180 + 13 = 193], then

3 h and 13 min = 193 min

Let us do the same with your problem

2 h 26 min

∵ The number of hours = 2

∵ 1 hour = 60 minutes

∴ 2 hours = 2 × 60 = 120 minutes

∵ The number of minutes = 26

- Add 120 to 26

∴ 2 h 26 min = 120 + 26 = 146

The equivalent time to 2 h 26 min is 146 min

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Answer:

m = 4

Step-by-step explanation:

12m - 15 = 3 (2m + 3)

12 m - 15 = 6m + 9

12m - 6m - 15 = 6m - 6m + 9

6m - 15 = 9

6m - 15 + 15 = 9 + 15

6m = 24

(1/6) 6m = 24 (1/6)

m = 4