In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is...
1
...in the drama club?
1
...in the art club?

Answer:

[tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Multiply both sides by [tex]9(2x+3)[/tex]

[tex]\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)[/tex]

[tex]5(2x + 3) = 9(9)[/tex]

[tex]10x + 15 = 81[/tex]

Subtract 15 from both sides

[tex]10x + 15 - 15 = 81 - 15[/tex]

[tex]10x = 66[/tex]

Divide both sides by 10

[tex]\frac{10x}{10} = \frac{66}{10}[/tex]

[tex]x = \frac{66}{10}[/tex]

[tex]x = 6.6[/tex]

From the attached;

[tex]DE = 2x + 3[/tex]

Substitute 6.6 for x

[tex]DE = 2(6.6) + 3[/tex]

[tex]DE = 13.2 + 3[/tex]

[tex]DE = 16.2[/tex]

Hence [tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Answer: 6.6 for the first x

Length of DE is 16.2

Also these are correct!

Step-by-step explanation:

I just put it in

Answer:

9

Step-by-step explanation:

Answer:

sphere

Step-by-step explanation:

Human heads are close to circles and sometimes are circles

Sphere is the best model for the head of a human being.

A human head definitely doesn't represent a Cone neither a Pyramid.

Now a cylinder is a solid which is circular at its edges and straight in its length which clearly does not model the human head. Now the Sphere, it does closely represent the outside figure of a human head.  

Thus Sphere is the best model for a human head.

Therefore option D, sphere is the correct answer.

Learn more about Sphere, refer:

#SPJ2

Answer & Step-by-step explanation:

[tex]Circumference=d\pi[/tex]

The diameter of the circle is 24 mm. So, let's add in the diameter and find the circumference of the circle.

[tex]Circumference=(24)\pi[/tex]

We will use 3.14 for pi.

[tex]Circumference=75.36[/tex]

So, the circumference of the circle is 75.36 mm.

Answer:

3 ft 3 in

Step-by-step explanation:

The radius is half the diameter.  

If the diameter is 6 ft 6 in, then the radius is 3 ft 3 in.

Answer:

[tex]yes \\ 1 : 3 = 3 : 9[/tex]

Step-by-step explanation:

yes.

[tex]1 : 3 = 3 : 9[/tex]

Let see how is it possible,

[tex]3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9[/tex]

Also,

[tex]1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

For a point to be a solution to a system of inequalities, the points must make the signs of the inequalities true.

For example, the points must give results like 2<3 or 0>-2, these are true solutions. If the points gives 1>2, then that point is not a solution.

Answer:

a

Step-by-step explanation:

i went onto a mortgage calculator and thats what i got, idk how to explain through

Answer:

33ft^2

Step-by-step explanation:

Answer:

600 m

Step-by-step explanation:

I attend LUOA as well.

Answer:

600m

Step-by-step explanation:

I, too, attended LUOA.

hope this helps:)

Answer:

[tex]1)13x - 15 = 12x + 16 \\ 13x - 12x = 15 + 16 \\ x = 31[/tex]

[tex]2)9x - 19 = 2x - 5 \\ 9x - 2x = 19 - 5 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]

[tex]3)16x - 35 = 7x - 8 \\ 16x - 7x = 35 - 8 \\ 9x = 27 \\ \frac{9x}{9} = \frac{27}{9} \\ x = 3[/tex]

[tex]4)6x - 5 = 13 - 3x \\ 6x + 3x = 5 + 13 \\ 9x = 18 \\ \frac{9x}{9} = \frac{18}{9} \\ x = 2[/tex]

[tex]5)4x - 9 = 6 - x \\ 4x + x = 9 + 6 \\ 5x = 15 \\ \frac{5x}{5} = \frac{15}{5} \\ x = 3[/tex]

[tex]6)5x - 2 = 10 - x \\ 5x + x = 2 + 10 \\ 6x = 12 \\ \frac{6x}{6} = \frac{12}{6} \\ x = 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answers:

31

2

3

2

3

2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Hey!!

Here's your answer

7+(-7)

=7-7

=0

so the answer is 0

hope it helps...

Answer:

7+(-7) would be 0 because with one negative and one positive, they cross each other out.

Step-by-step explanation:

hope this helps. :))

Answer:

19 miles per hour

Step-by-step explanation:

Answer:

The y-intercept is 2.

Step-by-step explanation:

We can find the y-intercept by looking at the linear equation y = mx + b.

m = slope

b = y-intercept

====================================================

Let's find the y-intercept of this line.

You should notice that the equation is written in Slope-Intercept Form:

[tex]\bigstar{\boxed{\pmb{y=mx+b}}}[/tex]

Where

m -> slope

b -> y-intercept

In the equation y=mx+b, the y-intercept is b, and in the equation y=3x+2, 2 is the y-intercept.

=========================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer: 45

Step-by-step explanation: 85/19=45

Answer:

4425.7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The final answer is [tex]x = 5[/tex], which would be the second choice.

Step-by-step explanation:

Solve the equation:

[tex]-16x = -80[/tex]

-Divide both sides by -16:

[tex]\frac{-16x}{-16} = \frac{-80}{-16}[/tex]

[tex]x = 5[/tex]

So, the final answer is [tex]x = 5[/tex] .

Answer: B

Step-by-step explanation:

Answer:

is this the right question

Answer:

1773

Step-by-step explanation:

because if you put the _ as - it mean to subtract so then you see how I got it

Answer:

so here is the answer. Hope it helps.

Answer:

160% is for 72 of 45

Answer:

x = 132

Step-by-step explanation:

The angles are supplementary so the add to 180 degrees

x+48 = 180

Subtract 48 from each side

x+48-48 = 180-48

x =132

Answer:

medium

Step-by-step explanation:

The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.

Answer:

Medium

Step-by-step explanation:

your welcome loves

Answer:

its 11 by 6

Step-by-step explanation:

hope it works out

Answer:

The correct answer is 11/6

Step-by-step explanation:

Hope it works out !!

Answer:

15

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

[tex]\sqrt{r^2+h^2}[/tex]

34 = [tex]\sqrt{30^2 + h^2}[/tex]

[tex]34^2 = 30^2 + h^2[/tex]

[tex]1156 = 900 + h^2[/tex]

[tex]256 = h^2[/tex]

[tex]h = \sqrt{256}[/tex]

[tex]h = 16[/tex]

Answer: y= -x - 4

Step-by-step explanation:

Answer:

L = f(J, K, F)

L = (JK²)/F

So, as the formula appears, the appropriate units will be option A.

Unit for number of laughs = (jokes*knowledge²) / familiarity

Just like the formula suggests.

Step-by-step explanation:

Complete Question

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: L = (JK²)/F

Select an appropriate unit for number of laughs:

A) (jokes*knowledge²) / familiarity

B) familiarity / (jokes*knowledge²)

C) familiarity² / (jokes*knowledge)

D) (jokes*knowledge) / familiarity²

Solution

L = f(J, K, F)

where

L = number of laughs

J = number of jokes

K = amount of knowledge about the joke material

F = familiarity with the jokes

Analysing how the dependent variable depends on each of the independent variables.

- Number of jokes

The number of laughs will increase with the number of jokes and vice versa. It can be stated that there is a direct variation between the number of laughs and number of jokes.

- Amount of knowledge about the joke material

The more one understands the joke material, the funnier the joke. In fact, the joke can be termed funnier when one understands the joke material deeply. The direct variation of number of laughs to knowledge about joke material isn't just enough, the number of laughs varying directly as the square of the knowledge of joke material seems more fitting.

- Familiarity with the joke

The more familiar one is with a joke, the less funny it is. Hence, it's an inverse relationship between number of laughs and the familiarity with the joke.

L = (JK²)/F

So, as the formula appears, the appropriate units will be

(jokes*knowledge²) / familiarity

Just like the formula suggests.

Hope this Helps!!!

The question is incomplete. Here is the complete question.

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: [tex]L = \frac{J.K^{2} }{F}[/tex].

Select an appropriate unit for number of laughs:

(jokes*knowledge²) / familiarity

familiarity / (jokes*knowledge²)

familiarity² / (jokes*knowledge)

(jokes*knowledge) / familiarity²

Answer: Unit for number of laughs is (jokes*knowledge²) / familiarity

Step-by-step explanation: Number of laughs (L) is related to jokes (J), knowledge (K) and familiarity (F) according to the proportion: [tex]L = \frac{J.K^{2} }{F}[/tex]

The unit for L will be: L = (jokes.knowledge²).familiarity⁻¹

or

L = [tex]\frac{jokes*knowledge^{2} }{familiarity}[/tex]

Answer:

y-7x>4

Step-by-step explanation:

Substitute the point (0, 0) for all of the equation and see which one will be true. The only reason why the 3rd equation is true is because (0) - 7(0) equals to 0 and 0 is greater than -4.

Answer:

C

Step-by-step explanation:

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