Telling of a classroom is 32 feet. The width is 75% of the lengt. Find the area of the classroom in square feet

Answer:

268.0 in²

Step-by-step explanation:

refer to attached graphic as reference

volume of cone, V = (1/3) πr²h

in our case, we are given r = 4" and h = 16"

substituting this into equation:

V = (1/3) πr²h

=  (1/3) ·(3.14) · (4)²· (16)

= 267.94667 in²

= 268.0 in² (nearest tenth)

The volume of the paper cone to the nearest tenth = 268.0 in².

Volume of cone, V = (1/3) πr²h

Where, h= height of the cone

r = radius of the cone

V= volume of the cone

In our case, we are given r = 4" and h = 16"

substituting this into the equation:

V = (1/3) πr²h

Substitute into the formula we have

The value of π = 3.14

V =  (1/3) ·(3.14) · (4)²· (16)

= 267.94667 in²

= 268.0 in² (nearest tenth)

Therefore, the volume of the cone = 268.0 in² (nearest tenth)

To learn more about the Volume of a cone

https://brainly.com/question/24288245

#SPJ2

Answer:

3

Step-by-step explanation:

recall that 81 = 3 x 3 x 3 x 3 = 3⁴

given

[tex]81^{\frac{1}{4} }[/tex]

= ( 3⁴) ^ (1/4)

= [tex]3^{(4)(1/4)}[/tex]

= 3

Answer:

Step-by-step explanation:

81^1/4

And 81 = 3⁴

:- 81^1/4 = 3^(4×1/4)

= 3¹ = 3

Answer:

A) The teacher brought 384 fluid ounces of juice

B)NO, the teacher doesn't have enough juice to give each student a 12-fluid ounce glass of juice

Step-by-step explanation:

Given:

The total quantity of juice brought by the teacher for the field trip = 3 gallons of juice

The number of students in the field trip =  36

A)fluid ounces of juice

We know that

1 gallon  = 128 fluid ounce

So we have to convert the given 3 gallons of juice to fluid ounces

3 gallons of fruit juice [tex]= 3 \times 128[/tex] fluid ounces

3 gallons of fruit juice  =  384 fluid ounces

The teacher had 384 fluid ounces of fruit juice

B. enough juice to give each student a 12-fluid ounce glass of juice

The teacher wants to give 12 fluid ounce of juice to one student

So, to give 36 students

the teacher will need

=> [tex]36 \times 12[/tex]

=> 432 fluid ounces of juice

but the teacher has only 384 fluid ounces of juice .

Thus the teacher still  needs 48 fluid ounces of juice  

Answer:

13.3

Step-by-step explanation:

Because in order to get the a separated from the 0.9, you must divide the 0.9a by 0.9 to cancel the 0.9 out of the equation. That way, you are left with A. but in order to do that, you must divide both sides of the equation.

Ultimately, it ends up being 12 divided by 0.9, which is 13.3

Answer 5

Step-by-step explanation:

6/12=.5

.5*10=5

Final answer:

Mindy bought 10 grapefruits at a rate of $6.00 per dozen. By calculating the cost per grapefruit at 50 cents and multiplying by 10, we find that she paid a total of $5.00 for the grapefruits.

Explanation:

Calculating the Cost of Grapefruits

Mindy bought 10 grapefruits at the rate of $6.00 per dozen. To find out how much she paid for the grapefruits, we need to calculate the cost per grapefruit and then multiply by the number she bought.

A dozen grapefruits cost $6.00, so each grapefruit costs $6.00 divided by 12, which is 50 cents per grapefruit. Since Mindy bought 10 grapefruits, the total cost will be 10 grapefruits multiplied by 50 cents each.

Performing the multiplication, we get:

10 grapefruits × 50 cents per grapefruit = 500 cents

Since there are 100 cents in a dollar, 500 cents is the same as $5.00.

Therefore, Mindy paid $5.00 for the grapefruits.

Answer:

no solution

Step-by-step explanation:

if you graph both equation the lines are parallel.

parallel = no solution

overlap = infinite solution

intersect = one solution

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y-6x=-3\\4y-24x=-16\end{array}\right\\\\\text{Divide both sides of the second equation by 4}\\\\\dfrac{4y}{4}-\dfrac{24x}{4}=\dfrac{-16}{4}\\\\y-6x=-4\\\\\text{We have received equations in which the left sides}\\\text{are the same and the right sides are different.}\\\\\bold{CONCLUSION}\\\\\text{The system of equations has no solution.}[/tex]

[tex]\left\{\begin{array}{ccc}a_1x+b_1y=c_1\\a_2x+b_2x=c_2\end{array}\right\\\\\text{If}\ a_1=a_2,\ b_2=b_2,\ c_1=c_2,\ \text{then the system of equations}\\\text{ has infinitely many solutions}\\\\\text{If}\ a_1=a_2,\ b_1=b_2,\ c_1\neq c_2,\ \text{then the system of equations}\\\text{has no solutions}\\\\\text{Other the system of equations has one solution.}[/tex]

Answer:

Ten amounts:

$ 13,979 $1,000 $100 $2 $10 $300 $4 $5 $200 $500

Step-by-step explanation:

Choose any numbers you want for the first 9 cash amounts. Then, find out the difference between the 9 cash amounts and 16,100. That will be the tenth amount.

Example:

I choose $1,000 $100 $2 $10 $300 $4 $5 $200 $500.

If I add them together, I get $2,121.

Remember that was 9 amounts, and we need 10.

To get the last amount, subtract what you have ($2,121) from what you need ($16,100).

16,100 - 2,121 = $13,979

The last amount will be $13,979.

Check your answer:

Add all of the ten amounts to get 16,100.

1,000 + 100 + 2 + 10 + 300 + 4 + 5 + 200 + 500 + 13,979

= 16,100

Therefore this answer is correct.

Find the average rate of change of f(x) = 3(2)^x between x = 1 and x = 4

The average rate of change is 14

The rate of change is given by formula:

[tex]\text { Average Rate }=\frac{f(b)-f(a)}{b-a}[/tex]

Here the given interval is x = 1 and x = 4

Therefore, the formula becomes,

[tex]\text { Average Rate }=\frac{f(4)-f(1)}{4-1}\\\\\text { Average Rate }=\frac{f(4)-f(1)}{3}[/tex]

Let us find f(4) and f(1)

Given function is:

[tex]f(x)=3(2)^x[/tex]

Substitute x = 4 in function

[tex]f(4)=3(2)^4\\\\f(4) = 3 \times 16 = 48[/tex]

Thus f(4) = 48

Substitute x = 1 in function

[tex]f(1) = 3(2)^1\\\\f(1) = 6[/tex]

Now substitute the values back into formula

[tex]\text { Average Rate }=\frac{f(4)-f(1)}{3}\\\\\text { Average Rate }= \frac{48-6}{3}\\\\\text { Average Rate }= 14[/tex]

Thus average rate of change is 14

Answer:

The equation of line will be [tex]y=x+2.75[/tex]

Step-by-step explanation:

Given admission and [tex]6[/tex] sample costs $[tex]8.75[/tex]

And admission and [tex]9[/tex] samples costs $[tex]11.75[/tex]

Let cost of the sample is [tex]y[/tex] and number of sample is [tex]x[/tex]

Now, we will find the slope of line

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{11.75-8.75}{9-6}\\\\m=\frac{3}{3}\\\\m=1[/tex]

Plug slope as [tex]1[/tex] and point [tex](6,8.75)[/tex] in the equation we get,

[tex](y-y_1)=m(x-x_1)\\y-8.75=1(x-6)\\y-8.75=x-6\\y=x-6+8.75\\y=x+2.75[/tex]

The equation of line will be [tex]y=x+2.75[/tex]

Answer:

I will answer any question you ask me! You can call me by my nickname- Dark. If you have any questions, just ask me!

Step-by-step explanation:

Answer: At your service. I don't troll. I think it's pointless to troll because people on brainly are here for HELP not for Jokes.

Answer: Its pretty basic

Step-by-step explanation:

Compare 4 centimeters to 300 centimeters.

Answer:

x = 3

Step-by-step explanation:

We should know that:

A straight segment joining the middle of two sides in a triangle is parallel to the third side and equal to half of it.

So,

3x + 1 = (1/2) * 20 = 10

3x = 10 - 1 = 9

x = 9/3 = 3

So, the value of x = 3

If one-third of a number, x, is greater than five less than twice the number, which of the following is true?​ x < 3, x > -3, x > -3/5, x < 3/5

Option A

The true inequality is x < 3

Let the number be "x"

One third of number means that,

[tex]\rightarrow \frac{1}{3} \text{ of number } = \frac{1}{3} \times x = \frac{x}{3}[/tex]

Thus from given statement,

one-third of a number x is greater than five less than twice the number

[tex]\text{ one-third of a number x } > \text{ five less than twice the number x }[/tex]

[tex]\frac{x}{3} > 2x - 5[/tex]

Solve the above inequality

Multiply both sides of inequality by 3

[tex]\frac{x}{3} \times 3 > (2x - 5) \times 3[/tex]

[tex]x > 3(2x-5)[/tex]

Solve for brackets in R.H.S

[tex]x > 6x - 15[/tex]

Add -6x on both sides of inequality

[tex]x - 6x > 6x - 15 -6x\\\\-5x>-15[/tex]

Multiply both sides of inequality by -1

Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign

[tex]5x < 15[/tex]

Divide both sides of inequality by 5

[tex]x < 3[/tex]

Thus the true inequality is x < 3

Final answer:

The inequality one-third of a number x being greater than five less than twice the number translates to x < 3 after solving the inequality properly.

Explanation:

If one-third of a number, x, is greater than five less than twice the number, we can write this as an inequality. To solve for x, we can set up the following expression:

Now, we need to solve for x. First, we'll get all the x terms on one side and the constants on the other:

The statement that is true is that x is less than 3. This means all solutions for x are numbers that are less than 3.

Answer:

Width = 4 cm

Length = 16 cm

Step-by-step explanation:

We are given;

We are required to determine the dimensions of the rectangle;

In this case;

2 ( 2x + 8 + x) = 40

2 ( 3x + 8 ) = 40

6x + 16 = 40

6x = 24

 x  = 4

Thus; the dimensions of the rectangle are;

Width = 4 cm, and

Length = 16 cm

Answer: the answer would be 720

Step-by-step explanation:

Answer:

Step-by-step explanation:

direct proportion

100:5 = x : 36

Product of mean = 5*x

Product of extremes = 100*36

Product of mean = Product of extremes

5*x=100*36

x = 100*36/5

= 20*36 = 720

720 quarts could be made in 36 hours.

Answer:

Step-by-step explanation:

y - y1 = m(x - x1)

slope(m) = -1

(-1,5)....x1 = -1 and y1 = 5

now we sub

y - 5 = -1(x - (-1)...not done yet...we can simplify this

y - 5 = -1(x + 1) <===

The solution is y = -x + 4

The equation of the line is y = -x + 4 and the slope of the line is m = -1

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the point be represented as P = P ( -1 , 5 )

Now , the slope of the line is

Slope m = -1

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 5 = -1 ( x - ( -1 ) )

On simplifying the equation , we get

y - 5 = -1 ( x + 1 )

y - 5 = -x - 1

Adding 5 on both sides of the equation , we get

y = -x + 4

Therefore , the value of A is y = -x + 4

Hence , the equation of line is y = -x + 4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

Infinitely many solution.

Step-by-step explanation:

The given system is

x = y + 4

y = x - 4

To graph the first equation, we write it in slope-intercept form to get: to

x=y+4

This implies y=x-4.

This has a slope of 1 and a y-intercept of -4.

The graph of this function is shown in the attachment.

The second equation is y=x-4.

This equation is identical to first equation, so its graph coincides with the first one.

The system has infinitely many solution.

The system of equations has infinitely many solutions.

The system of equations:

1. [tex]\( x = y + 4 \)[/tex]

2. [tex]\( y = x - 4 \)[/tex]

can be rearranged to show that they represent the same line:

1. [tex]\( y = x - 4 \)[/tex] (Rearranged from [tex]\( x = y + 4 \)[/tex])

2. [tex]\( y = x - 4 \)[/tex]

Graphing these equations shows that they are the same line, meaning every point on the line [tex]\( y = x - 4 \)[/tex] is a solution to the system.

Thus, the solution to the system of equations is all points [tex]\((x, y)\)[/tex] that satisfy [tex]\( y = x - 4 \)[/tex]. This means the lines intersect everywhere along [tex]\( y = x - 4 \)[/tex].

There is no single intersection point because they overlap completely.

If 81km = 9L, then 9km = 1L.

So ?km = 22L.

With 22L, Amanda can drive 198km.

Answer:

36 = (w+5)w = w^2 + 5w

Step-by-step explanation:

The equation to find the dimensions of the window is w*(w + 5) = 36, where w represents the width of the window.

The subject of this question is Mathematics. This problem is a classic example of a quadratic equation in algebra, where you are given the area of a rectangle and a relationship between its length and width. In this case, the length of the rectangle is 5 feet more than its width (w). So, the length can be represented as w + 5. The area of a rectangle is calculated as length times width, so we can set up the following equation where the area is 36 square feet: w*(w + 5) = 36.

https://brainly.com/question/26090334

#SPJ3

Hope it will help u.........

Investments worth $4487.19 in total at the end of 3 years.

Solution:

Principal, P = 2000

Rate, R = 4% compounded quarterly

Rate, R = 3.75% compounded annually

Year, n = 3

Formula for compound interest when compounded quarterly:

[tex]Amount=P(1+\frac{\frac{R}{4} }{100})^{4n}[/tex]

Substitute P = 2000, R = 4% and n = 3

[tex]Amount=2000\times(1+\frac{\frac{4}{4}}{100})^{4\times3}[/tex]

              [tex]=2000\times(1+\frac{1}{100})^{12}[/tex]

              [tex]=2000\times(\frac{100+1}{100})^{12}[/tex]

              [tex]=2000\times(\frac{101}{100})^{12}[/tex]

              = 2253.65

Amount when compound interest calculated quarterly is 2253.65.

Formula for compound interest when compounded annually:

[tex]Amount=P(1+\frac{R}{100})^{n}[/tex]

Substitute P = 2000, R = 3.75% and n = 3

[tex]Amount=2000\times(1+\frac{3.75}{100})^{3}[/tex]

              [tex]=2000\times(\frac{100+3.75}{100})^{3}[/tex]

              [tex]=2000\times(\frac{103.75}{100})^{3}[/tex]

              = 2233.54

Amount when compound interest calculated annually is 2233.54.

Total amount = 2253.65 + 2233.54

                      = 4487.19

Hence, investments worth $4487.19 in total at the end of 3 years.

Answer:

Infinitely many solutions.

Step-by-step explanation:

7x+3=3+7x

7x-7x+3=3

3=3

Answer:

$14

Step-by-step explanation:

given

Sharif : Jose ---> 2:7

this means that:

Fraction of total that Sharif gets = 2 / (2+7) = 2/9

Fraction of total that Jose gets = 7 / (2+7) = 7/9

we are given that Jose gets $49, hence

jose's fraction = 7/9 ,  represents $49

i.e

7/9 -----> $49

1/9 -----> $49 ÷ 7 = $7

Sharif's fraction = 2/9 -----> $7 x 2 = $14

Answer: 24

Step-by-step explanation:

245-28= 217

217÷9= 24.1

The equation can be set up as 245 = ?(9) + 28

Solving for the ?, we subtract 28 from the entire equation: 217 = ?(9)

Divide by 9: 24.11111 or, rounded, $24 each week.

Answer:

The potential energy of the ball having 2kg mass would be [tex]392[/tex] J

Step-by-step explanation:

I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.

Considering the formula for calculating the gravitational potential energy

[tex]G.P.E\:=\:m.g.h[/tex]

As

[tex]m = 2[/tex] kg

Acceleration of gravity = g = 9.8 [tex]ms^{-2}[/tex]

As the ball is on the height = h = 20 meters

So,

[tex]G.P.E\:=\:(2)(9.8)(20)[/tex]

[tex]G.P.E\:=392[/tex] J

Therefore, the potential energy of the ball = [tex]392[/tex] J

Keywords: potential energy, Gravitation potential energy

Learn more potential energy from brainly.com/question/14022793

#learnwithBrainly

Answer:

i agree

Step-by-step explanation:

Answer: d = v/26

Step-by-step explanation:

Answer:

15.1

Step-by-step explanation:

Answer:

15.1

Step-by-step explanation:

Since the digit in hundredths place is greater than 5, hence after removing the digit 6 we will add 1 in the tenth place. So the answer will become 15.1