How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..

Answer:

The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.

Step-by-step explanation:

Unit rate = How much of something per 1 unit of something else

We write this as a ratio with a denominator of one

In this case, we are using "pound per foot"

1. "8 pounds for every 2 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

2. "12 pounds per 3 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]

Next, divide the numerator and denominator by 3

[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]

Unit rate = 4 pounds per foot

3. "20 pounds per 4 feet"

First, write the rate as a fraction

[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]

Next, divide the numerator and denominator by 4

[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]

Lastly, simplify and turn the denominator equal to 1

[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]

Unit rate = 5 pounds per foot

4. "24 pounds for every 6 feet"

You can find the unit rate by dividing the first term of the ratio by the second term

[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]

Simplify

[tex]\mathrm{4\:pounds}[/tex]

Unit rate = 4 pounds per foot

The rate that doesn't belong is "20 pounds per 4 feet"

Answer:

I don't necessarily understand your question but usually the answer to a polynomial question is a binomial answer

Answer:

5%

Step-by-step explanation:

(240 - 252/240)×100

Mean: 16

To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.

1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112

2. 112 / 7 = 16

3. The mean is 16.

Answer: 16.

Step-by-step explanation: To find the mean of any given data, you need to add all the data.  The work is below:

13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.

Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data.  The work is below:

112 / 7 = 16.

Therefore, the mean of this data is 16.

Hope this helps! :)

Answer:

32 and a half

Step-by-step explanation:

Answer:

375 Km

Step-by-step explanation:

1 inch = 50 km

50 x 7.5 = 375 km

Answer:

375 Km

1 inch = 50 km

50 x 7.5 = 375 km

now, this is assuming the compounding period is annually, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]

Answer:

If

Hight = 6×base

And

Base = X

Then

Hight = 6 × X

Which is equivalent to

Hight = 6X

The solution of the given complex fraction will be;

[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]

The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.

The given complex fraction is

[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]

Now by taking LCM the equation will become

[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]

Now the final expression will be

[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]

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Answer:

[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]

The functions of DoorDash and UberEats are linear functions and piecewise functions

This is the point where the input value is 0 i.e. x = 0.

From the table, we have:

(x,y)= (0,2.50)

From the graph, we have:

(x,y)= (0,5)

Hence, the y-intercepts are $2.50 and $5, respectively

This is the point where the output value is at the highest

From the table, we have:

(x,y)= (25,12.00)

From the graph, we have:

(x,y)= (20,8.00)

Hence, the maximum of the functions are $12.00 and $8.00, respectively.

This also represents the maximum salaries of working in both companies

This is the point where the values of both functions are equal

From the table and the graph, we have:

(x,y)= (25,12.00)

Hence, the point where the salaries are the same is (25, 12.00)

DoorDash has a higher maximum salary; so I would choose to work at DoorDash

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Answer: 27

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)

2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).

Answer:

they want you to take what you have (point a and point c) and take the moving places and add it to their respected points

if that doesnt help then...

point A is (2,3)

point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8

point b is (6,8)

point c is (9,7)

point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5

point d (1,5)

Step-by-step explanation:

Answer:

  3800 tickets sold

Step-by-step explanation:

We know the number of people seated, and we know the percentage of total ticket sales that represents. So, we can find the total number of tickets sold.

  seated + not-arrived = total sold

  228 + 0.94 × total sold = total sold

  228 = 0.06 × total sold . . . . . . . . . . . . subtract 0.94 × total sold

  228/0.06 = total sold = 3800

There were 3800 tickets sold for the performance.

Answer:

Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)

Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.


The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees



This means angel F equals:
360 degrees - 312 degrees = F degrees

F = 48 degrees



In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: C

Step-by-step explanation:

Khan academy

The response that contributed most to the test statistic about human resources department is C. Disagree.

It should be noted that test statistic simply means a random variable that is used in hypothesis testing.

In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.

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[tex]\rightarrow[/tex] First side(a) of triangle = 17in.

[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.

[tex]\rightarrow[/tex] Perimeter of triangle = 45in.

[tex]\rightarrow[/tex]Third side of the triangle.

[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).

[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)

[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]

Therefore, third side = 15in.

[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.

[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]

________________________________

Hope it helps you:)

Answer:

Side 3 = 1.25 feet

Step-by-step explanation:

Given :

To Find :

Solving :

Answer:

surface area of cylinder is 126cm²

Step-by-step explanation:

Height of a cylinder is 8cm

Radius of a cylinder is 2cm

surface area = ?

surface area of cylinder= 2πr(r + h)

=2×22/7×2(2+8)

=44/7×2(10)

=44/7×20

=880/7

=125.71

A = 2πrh + 2πr² π=3.14

Answer:

DL = 34 cm

AL = 17 cm

∠DLA = 60°

∠ADL = 30°

Step-by-step explanation:

Given:

   DL ≅ MA

⇒ 2x + 10 = 3x - 2

⇒ 2x + 12 = 3x

⇒ 12 = x

Substituting found value of x into expressions for DL and AL:

DL = 2x + 10

     = 2(12) + 10

     = 34 cm

AL = x + 5

    = 12 + 5

    = 17 cm

The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if

Given:

Sum of interior angles of a triangle is 180°

⇒ ∠DLA + 30° + 90° = 180°

⇒ ∠DLA + 120° = 180°

⇒ ∠DLA = 60°

As ∠M = ∠D = 30°, then ∠ADL = 30°

Answer:

Step-by-step explanation:

Given:

Equating DL and MA :

⇒ 2x + 10 = 3x - 2

⇒ 2x + 12 = 3x

⇒ x = 12

Finding DL and AL :

Finding ∠DLA :

Finding ∠ADL :

sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

39°

Try harder to achieve success

Answer:

10 cm

Step-by-step explanation:

The formula for finding the surface area of a cube is 6 x (side length)^2.

Since the surface area equals 600, you can divide the surface area by 6 (because a cube has 6 faces) so that becomes 100. The square root of 100 is 10, so the side length is equal 10 cm.

Answer:

it should be built at the centre

Answer:

[tex]2.4x-4.4[/tex]

Step-by-step explanation:

Given the following question:

[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]

To simplify the expression, we are going to need to rewrite the expression by expanding the terms and then solve by using the distributive property. Then we combine like terms in till the expression can no longer be simplified to find our answer.

[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
[tex]0.3(4x-8)[/tex]
[tex]0.3\times4=1.2x[/tex]
[tex]0.3\times4=2.4[/tex]
[tex]1.2x-1.2-0.5(-2.4x+4)[/tex]
[tex]-0.5(-2.4x+4)[/tex]
[tex]-0.5\times-2.4=1.2[/tex]
[tex]-0.5\times4=-2[/tex]
[tex]1.2-2[/tex]
[tex]1.2x-2.4+1.2x-2[/tex]
[tex]1.2+1.2=2.4x[/tex]
[tex]-2.4+-2=-4.4[/tex]
[tex]=2.4x-4.4[/tex]

Your answer is "2.4x - 4.4."

Hope this helps.

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

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Answer:

4/6

We know that, 4 can be written as:

4 = 2 × 2 and 6 = 2 × 3.

In both 2 is common so cancel it out we get, 2/3

Similarly,

10/12

10 = 2 × 5 and 12 = 2 × 2 × 3

2 common and cancel we get, 5/6

18/24

18 = 2 × 3 × 3

24 = 2 × 2 × 2 × 3

6 (2 × 3) is common. So, cancel we get, 3/4

The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

Perimeter = 2(length + width).

The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.

Given the following:

Plug the values into Perimeter = 2(length + width):

Perimeter of the rectangular garden = 2(42 + 84)

Perimeter of the rectangular garden = 252 ft

Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.

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Answer:

a=12 times

b=156 times

Step-by-step explanation:

4 weeks=month

4*3=12

52 weeks=1 year

52*3=156

Therefore he goes 12 times a month, and 156 times a year.

Answer:

[tex]y=1.14x+0.420[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-3,-3) = (x1, y1)
Point B = (4, 5) = (x2, y2)

To write the points in slope intercept form we must first calculate the slope using rise over run. Once we have the slope, we substitute the values into the formula for slope intercept which is y = mx + b and then solve for b to have our answer.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5--3}{4--3} =\frac{8}{7}[/tex]
[tex]8\div7=1.14[/tex]
[tex]m=1.14[/tex]

Now that we have the slope substitute the values:
[tex]y=mx+b[/tex]
[tex]y=-3[/tex]
[tex]m=1.14[/tex]
[tex]x=-3[/tex]
[tex]-3=1.14(-3)+b[/tex]
[tex]1.14\times-3=-3.42[/tex]
[tex]-3=-3.42+b[/tex]
[tex]-3.42+3.42=0[/tex]
[tex]-3+3.42=0.42[/tex]
[tex]0.42=b[/tex]
[tex]b=0.42[/tex]
[tex]y=1.14x+0.420[/tex]

Your answer is "y = 1.14x + 0.420."

Hope this helps.

Answer:

162

Step-by-step explanation:

7(3×6-4)+4^3

7(18-4)+4^3

7×14+4^3

98+64

162

Answer:

162.......

Step-by-step explanation:

= 7 ( 3x - 4 ) + 4^3

= 7 ( 3× 6 - 4 ) + 4^3

= 7 ( 18 - 4 ) + 4 ^3

= 7 ( 14 )+ 4 × 4 × 4

= 98 + 64

= 162..