If 840 CLASS eighth graders, making up 4/5 of total eighth, studied algebra during summer, how many eighth graders are enrolled with CLASS

[tex]\stackrel{\textit{\Large morning rate}}{\cfrac{\stackrel{strawberries}{3}}{\underset{minutes}{4}}}~\hspace{7em}\stackrel{\textit{\Large afternoon rate}}{\cfrac{\stackrel{strawberries}{2}}{\underset{minutes}{3}}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\underline{3}}{4}~~ - ~~\cfrac{2}{3}\implies \cfrac{(3)\underline{3}~~ - ~~(4)2}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{9-8}{12}\implies \cfrac{1}{12}\qquad \impliedby \textit{their difference}[/tex]

Answer:

x = 9

Step-by-step explanation:

You need to use PEDMAS (Parentheses, exponents, division, multiplication, addition, subtraction) to solve the equation.

1.) Begin by multiplying the values inside of the parentheses by the (-3).

2.) Isolate the variable by adding (15) to both sides.

2.) Isolate the variable by subtracting (2x) from both sides.

Starting Equation.)        2x - 6 = -3(5-x)

                            1.)       2x- 6 = -15 + 3x

                           2.)       2x + 9 = 3x

                           3.)        9 = x

Answer:

FGHI is a Parallelogram

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability of one quote being chosen at least two times is given by:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351[/tex]

[tex]P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321[/tex]

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328[/tex]

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

answer

4√5/5

i hope u understand what i meant by that

sry hope this helps

Answer:

4√5/5

Step-by-step explanation:

yw :)

Answer:3200

Step-by-step explanation:

Answer:

Median: 37

First quartile: 33.5

Third quartile: 40.5

Interquartile range: 7

Step-by-step explanation:

Your first step should be putting them in order from least to greatest.

27, 33, 34, 35, 37, 39, 40, 41, and 54. Now to find the median you have to find the middle which in the case would be 37. Now to find the 1st quartile u eliminate the meduan and focus on the lower half of the numbers which would be 27, 33, 34, and 35. If you numbers are even you add and divide by 2. In this case you have to add 34 and 33 and then divide by 2 since they are both in the middle. Your 1st quartile would be 33.5. To find the 3rd quartile you do the same thing as the 1st quartile. Only focus on the upper half now. add both the middles then divide by 2 since there are 2 middles. You 3rd quartile should be 40.5. To fine the inerquartile range you subtract the 1st quartile from the 3rd. so it would be 40.5-33.5 which would give you 7. If you want to fine just the range you would subtract the highest number from the lowest number.

Hey there!

16 + 2 * 36

= 16 + 36 * 2
= 16 + 36 + 36

= 16 + 2 * 6^2

= 16 + 72

= 88

Thus, your answers could possibly be:

• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

she would pay 9,600 for 12 months

Step-by-step explanation:

12x800=9,600

[tex]x=13.8[/tex]

Step-by-step explanation:

[tex]tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}[/tex]

x × [tex]tan41^o=12[/tex] ( divide both sides by [tex]tan41^o[/tex] )

x =  ≈  ( nearest tenth )

Answer:

--------------HeyA BenjamiN-----------------

Explanation :

SolvinG :

- Our final answer is 6 .

---------------HappY LearninG <3 -------------

Answer:

d. 6

Step by step explanation:

Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval

[tex]y=3x^2+12x+11[/tex]

To convert this equation into standard form simply expand the equation out using PEMDAS.

PEMDAS

To solve this question you must remember the order of PEMDAS

1) Parentheses

2) Exponents

3) Multiplication and Division

4) Addition and Subtraction

Expanding the Equation

Expand the binomial by raising (x+2) to the second power.

Next, using the distributive property, distribute the 3.

Then, combine like terms.

Answer:

 =3y^2

Step-by-step explanation:

let,

       length: x

        width: y

According to condition,

      x = 3y   -----------(1)

Second condition

      Perimeter = 2 (l + b)

         80 = 2 (x + y)

         x + y = 40  -------------(2)

              To find area,

         Area = L x B

                    =3y x y

                     = 3y^2

Answer:

I think it is 4/9 pi r

Step-by-step explanation:

according to the condition given:

2nd cone has:

Height = 12cm

r= 1/3r (cause it's given 1/3 of radius of the original cone)

We know that volume of a cone is = 1/3 pi (r)^2 h

Now substitute the values:

1/3 * pi* (1/3r)^2 * 12

when u simplify u will get

pi* 1/9*r*4 = 4/9 pi r

So, the answer is probably 4/9 pi r.

The probability that the sequence is guessed on the first try is 1/24

The given parameters are:

Colors = 4

Selection = 3

The first color can be selected from any of the 4, the second can be selected from any of the remaining 3 and the third can be selected from any of the remaining 2.

So, the number of sequence is:

Sequence = 4 * 3 * 2

This gives

Sequence = 24

Only one of these sequence is correct

Hence, the probability that the sequence is guessed on the first try is 1/24

Read more about probability at:

https://brainly.com/question/251701

Answer:3.5

Step-by-step explanation: Check file

Volume = 6³ dm³

Volume = 216 dm³

Volume = 10 × 8 × 6 cm³

Volume = 480 cm³

Volume = 1/3 × 14 × 17 × 12.86 cm³

Volume = 1020.226 cm³

Volume = 3.14 ×6.5² × 5 m³

Volume = 663.325 m³

volume = 1/3 × 18.5² × 16 cm³

Volume = 1825.3 cm³

Volume = 4/3 ×3.14 × 7³ m³

Volume = 1436.026 m³

Answer:

I'm guessing that the answer is OB

Answer:

I'm sorry for trolling you, but ur mom

Step-by-step explanation:

Answer:

396

Step-by-step explanation:

Divide 3168 by 8 and your answer is 396.

Answer:

[tex]x - y + 5 = 0[/tex]

Step-by-step explanation:

Given:

Required:

The equation of the line passing through two points is given by

[tex]\frac{y-y_{1} }{y_{2}- y_{1} } =\frac{x_{}- x_{1} }{x_{2} -x_{1} }[/tex]

So, [tex]\frac{y-3}{7-3} =\frac{x-(-2))}{2-(-2)}[/tex]

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

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

Now, [tex]y-3 = x+2[/tex]

On rearranging,

[tex]x - y + 3 + 2 = 0x - y + 5 = 0[/tex]

Therefore, the equation of the line is [tex]x - y + 5 = 0.[/tex]

Answer:

59 square inches.

Step-by-step explanation:

Equation for area of whole, large triangle:

A = 1/2(b)(h)

A = 1/2(13)(14)

A = 91 square inches

Equation for area of tiny, white triangle:

A = 1/2(b)(h)

A = 1/2(8)(8)

A = 32 square inches

Equation to find the area of the shaded region:

A = 91 - 32

A = 59 square inches

Answer:

64

Step-by-step explanation:

It's 64 because the area is the inside and 8 x 8 = 64.

Answer:

Step-by-step explanation:

If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).

The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.

We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,

The x value after dilation will be 3/1/3=9

The y value after dilation will be -6/1/3=-18.

Hence the coordinates of A after dilation are (9,-18).

Learn more about dilation at https://brainly.com/question/3457976

#SPJ2

Answer:

48 units sq

Step-by-step explanation:

Find the area of each square/rectangle

2x2

2x5

2x5

2x5

2x2

2x5

Add all the parts together

4 + 10 + 10 + 10 + 4 + 10

= 48 units sq

Answer:

The rate of decay is: [tex]2\%[/tex]

Step-by-step explanation:

Exponential functions are modeled by:

[tex]f(x) = a(b)^x[/tex]

Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.

To calculate the percentage, subtract [tex]b[/tex] from 1:

[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]

Multiply the result by 100 to get the percentage.

[tex]0.02 * 100 = 2\%[/tex]

Answer:

f = food variable

d = number of days

Equation: f = 1.5d

Answer:

-2+2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since we have the value of x, 3+2[tex]\sqrt{2}[/tex], we can plug that value into the new equation.

We would recieve (3+2[tex]\sqrt{2}[/tex]-1)/3+2[tex]\sqrt{2}[/tex]

Which could simplify to -2+2[tex]\sqrt{2}[/tex]

[tex]x-\dfrac 1x\\\\\\=3+2\sqrt 2- \dfrac 1{3+2\sqrt 2}\\\\\\=3+2\sqrt 2 - \dfrac{3-2\sqrt2}{\left(3+2\sqrt 2\right) \left(3-2\sqrt 2 \right)}\\\\\\=3+2\sqrt 2 -\dfrac{3-2\sqrt 2}{3^2 - \left(2\sqrt 2 \right)^2}\\ \\\\=3+2\sqrt 2-\dfrac{3-2\sqrt2}{9-8}\\\\\\=3+2\sqrt 2-3+2\sqrt 2\\\\\\=4\sqrt2[/tex]