Select the correct answer.
Tommy has a rectangular-shaped swimming pool. He wants to know the volume of water in the pool, but he is not sure what the width of the
pool is. He knows the relationship between the width and the length and height of the pool. He used this relationship to come up with the
following equation to find the volume of the pool when the width is w meters.
A. Z
B. X
C. Y
D. W

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.

The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.

The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.

Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.

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Answer:

The fundamental counting principle is used to count the total number of possible outcomes that are in a situation

Step-by-step explanation:

Answer:

40*52*11*4 = $91,520

But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.

Step-by-step explanation:

Answer: $385440 if you work non stop, for every hour of those 4 years

Step-by-step explanation: 24 hours in a day, 24*365=8760

8760*4=35040 total hours.

Now if we multiply that by 11, because you get 11 dollars an hour,

35040*11= $385440 in total

But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.

Answer:

+ 5 = length 2x + 2(x + 5) = 38

Answer:

Step-by-step explanation:

Convert fractions to decimals. Then compare the whole part of the decimal numbers. The decimal having the  highest whole part is the greatest number.

If whole part of the decimals are same, compare the tenth place ....

[tex]68 \frac{1}{2}= \frac{137}{2}=68.5[/tex]

[tex]\frac{336}{5}=67.2[/tex]

67.59

67.22

Greatest to least:  68.5  , 67.59  , 67.22 , 67.2

                            68 1/2  , 67.59 , 67.22 ,  336/5

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

Answer:

it D

Step-by-step explanation:

Trust me

djrjnfnzenngfzm

6,0000 + 2,000 + 700 + 10 + 9

The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.

A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.

The appropraite sample should be representative of the whole population of customers.

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The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.

Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.

But option C covers assumingly all sorts of customers who use internet data.

Thus, the group that would best represent a sample of the  is given by: Option C: one thousand of their customers with a current smart phone data plan

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Answer:

5x^2+10x+6

Step-by-step explanation:

Answer:

[tex]1\frac{6}{9}[/tex]

Step-by-step explanation:

[tex]\frac{8}{9}+\frac{7}{9}[/tex]

[tex]\frac{8+7}{9}=\frac{15}{9}=1\frac{6}{9}[/tex]

Answer:

can you mark me a brainlist

Step-by-step explanation:

thanks

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation

Answer:

∠ C = ∠BCD = 30°

Step-by-step explanation:

∠ EDF = ∠GFC  = 110°                [ corresponding angles ]

Now consider triangle BCF

∠FBC  + ∠ABC = 180°                [ straight line angle ]

∠FBC  + 100° = 180°

∠FBC  = 180 - 100 = 80°

∠BFC + ∠GFC = 180°                  [ straight line angle ]

∠BFC + 110° = 180°

∠BFC = 180 - 110 = 70°

Sum of angles of triangle is 180°

Therefore , in triangle BCF

That is ,

       ∠F + ∠B + ∠ C  = 180°

          70° + 80° + ∠C = 180°

           ∠C = 180 - 150 = 30°            

Answer:

SA = 112π cm²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

Step-by-step explanation:

Step 1: Define

Identify

r = 4 cm

h = 10 cm

Step 2: Find Surface Area

Answer:

how do I do another question

Answer:

6 seconds

Step-by-step explanation:

Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.

After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.

So our equation is 50x = 35x + 90

Subtracting 35x from both sides: 15x = 90

Dividing both sides by 15: x = 6

So Luigi will catch up with Mario in 6 seconds.

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

Answer:

5.2 degrees the mountain slope forms with the ground at sea level

The angle that the mountain slope forms with the ground at sea level is 20.64°

"The distance covered by an object in unit time."

"The longest side of a right triangle."

"In a right triangle for angle θ ,

sin(θ) = opposite side / hypotenuse "

For given example,

Consider the following figure for given example.

Sam starts skiing at the peak 97 yards above sea level.

⇒ XY = 97 yards

He skis down the mountain at a rate of 1.5 yards per second.

⇒ speed = 1.5 yards per second

It takes him 3 minutes to reach flat ground at sea level.

⇒ t = 3 minutes

⇒ t = 180 seconds

XZ is the distance between peak of a mountain and the ground.

Using speed formula,

⇒ speed = XZ / times

⇒ 1.5 = XZ / 180

⇒ XZ = 1.5 × 180

⇒ XZ = 270 yards

This means the hypotenuse of right triangle XYZ is 270 yards.

Now, we need to find the angle that the mountain slope forms with the ground at sea level.

[tex]\Rightarrow sin(\theta)=\frac{XY}{XZ}\\\\\Rightarrow sin(\theta)=\frac{97}{270}\\\\ \Rightarrow sin(\theta)=0.3526\\\\ \Rightarrow \theta = sin^{-1}(0.3526)\\\\\Rightarrow \theta=20.64^{\circ}[/tex]

Therefore, the angle that the mountain slope forms with the ground at sea level is 20.64°

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Answer:

Step-by-step explanation:

I think its A

the graph the represents the equation is C.

Answer:

the answer is a on the image i just did what they said and got it wrong

Step-by-step explanation:

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Answer:

24 hours

Step-by-step explanation:

4 people can do the work in 6 hours

4*6 = 24 work hours

It will take 1 person 24 work hours to complete the job

Answer:

24 hours

Step-by-step explanation:

This question is a tricky one, but easy to solve at the same time. Normally the answer to this question would be 1 person = 24 (blank). But since we are talking about time, unit rates would not help very much. Multiply 4*6=24. It would take one person (assuming he goes as fast ad the others) 24 hours to complete the job.

Answer:

[tex]x>2[/tex]

Step-by-step explanation:

When given the following inequality;

[tex](x^2+x-3):(x^2-4)\geq1[/tex]

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]

Perform the operation on the other side distribute the negative sign and combine like terms;

[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]

Factor the equation so that one can find the intervales where the inequality is true;

[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

[tex]-1, 2, -2[/tex]

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

[tex]x\leq-2[/tex]   -> negative

[tex]-2<x\leq-1[/tex]   -> neagtive

[tex]-1\leq x <2[/tex]   -> neagtive

[tex]x>2[/tex]   -> positive

Therefore, the solution to the inequality is the following;

[tex]x>2[/tex]

Answer:

y = 2x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = 2 , then

y = 2x + b ← is the partial equation

To find b substitute (5, - 3) into the partial equation

- 3 = 10 + b ⇒ b = - 3 - 10 = - 13

y = 2x - 13 ← equation of line

Answer:

my answer in this picture.......

Answer:

x = ±√3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x² - 8 + 16 = 11

Step 2: Solve for x

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

Answer:

Ax+By=C

Step-by-step explanation:

basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).