Is 2 and 1/3 a rational number ?why or why not?

Answer:

29

he area of the pool is 34 ft * 48 ft = <<34*48=1632>>1632 ft2.

Thus, the total area of the pool and the border strip is 1632 ft2 + 344 ft2 = <<1632+344=1976>>1976 ft2.

Hence, the border strip is 1976 ft2/34 ft = <<1976/34=58>>58 ft long.

Therefore, the border strip can be 58 ft/2 = <<58/2=29>>29 ft wide. Answer: {29}.

Answer:

The quadratic 2x² - 3x - 5 is in the standard form:

ax² + bx + c

Therefore, we can identify the values of a, b, and c from the coefficients of the quadratic:

a = 2

b = -3

c = -5

So, a = 2, b = -3, and c = -5 for the given quadratic equation.

Answer:

9

Step-by-step explanation:

3*3 =9

Answer:

x is 9

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Given that,

Volume = 8223.75 in³

length = 12.5 in

width = 32.25 in

height = ?

Now let us use the formula and find the height.

V = l × w × h

8223.75 = 12.5 × 32.25 × h

8223.75 = 403.125h

Divide both sides by 403.125.

20.4 = h

Therefore,

height = 20.4 in

To find the probability that the student was male or got an A, we have to find the probabilities that the student was male (event A), got an A (event B) and the intersection between these events (A∩B).

Now, to find the asked probability, use the following formula:

The answer is 62/75.

Answer:

It's the last one!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The equation that can be used to determine the length of each equal piece is \(4x + 2\dfrac{1}{4} = 12\) and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the equation that can be used to determine the length of each equal piece:

Step 1 - The linear equation can be formed in order to determine the equation that can be used to determine the length of each equal piece.

Step 2 - Let the length of one piece be 'x'.

Step 3 - So, the linear equation that represents the total length of the board is:

\(4x + 2\dfrac{1}{4} = 12\)

Therefore, the correct option is C).

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Answer:

7

Step-by-step explanation:

we have the equation

2(x-4)=6x+4​

solve for x

Apply distributive property left side

2x-2(4)=6x+4

2x-8=6x+4

Group terms

6x-2x=-8-4

combine like terms

4x=-12

divide by 4 both sides

x=-12/4

                        The website probably sells pirated DVD

Answer:

He is wrong. The total cost would be $111

Step-by-step explanation:

Hope this helps!

Answer:

8.5 miles an hour.

Step-by-step explanation:

There are many ways to do this, but I am going to do it the way I think is the most simple.

First, divide 748 yards by 3 minutes to get the amount of yards per minute. 748 / 3 = 249.33333

Second, divide the previously gotten number (249.33333, [3's go on forever]) by the amount of yards in a mile (which is 1760 yards per mile). This turns into 249.33333 / 1760 = 0.1416666 (6's go on forever). This is miles per minute so you must make it per hour.

You then multiply that infinite number by the amount of minutes in an hour (60 minutes per hour). 0.14166666 * 60 = 8.5 miles per hour.

Answer:

5/14+1/10=16/35-1/28=59/ 140

Step-by-step explanation:

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

The complete equation is 2Fe(s) + 3Cl₂(g) -> 2FeCl₃(s) ΔH = -400 kJ

A thermochemical equation is a chemical equation that includes information about the energy change that occurs during a chemical reaction. The energy change is represented by the symbol ΔH (delta H), which stands for the change in enthalpy, or heat energy, of the system. The equation shows the reactants on the left side and the products on the right side, and includes the amount of heat energy evolved or absorbed during the reaction.

For example, consider the reaction:

2H2(g) + O2(g) → 2H2O(l) ΔH = -571 kJ/mol

This equation shows that two molecules of hydrogen gas react with one molecule of oxygen gas to form two molecules of liquid water. The reaction releases 571 kJ of heat energy per mole of hydrogen and oxygen that react.

The complete thermochemical equation for the reaction of Fe(s) with Cl₂(g) to form FeCl₃(s) is:

2Fe(s) + 3Cl₂(g) -> 2FeCl₃(s) ΔH = -400 kJ

This means that the reaction releases 400 kJ of energy for each mole of Fe(s) that reacts. The negative sign indicates that the reaction is exothermic, meaning it releases heat.

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The value of x that satisfies the equation -8 + 5(2x + 1) = -(7x + 9) + x is x = 3/4.

To solve the equation -8 + 5(2x + 1) = -(7x + 9) + x, we will simplify the expression step by step and solve for the value of x.

Distribute 5 to the terms within the parentheses: -8 + 10x + 5 = -(7x + 9) + x

Combine like terms on both sides of the equation: -8 + 5 + 10x = -7x - 9 + x

Simplifying further, we have: -3 + 10x = -6x - 9

To eliminate the negative sign on the right side of the equation, we can multiply every term by -1: -3 + 10x = -6x - 9 * -1

This simplifies to: -3 + 10x = -6x + 9

Next, we want to isolate the x terms on one side of the equation and the constant terms on the other side. We can do this by adding 6x to both sides: -3 + 10x + 6x = -6x + 9 + 6x

Simplifying further: 16x - 3 = 9

To isolate the x term, we need to eliminate the constant term on the left side. We can do this by adding 3 to both sides: 16x - 3 + 3 = 9 + 3

Simplifying further: 16x = 12

Finally, we solve for x by dividing both sides of the equation by 16: (16x)/16 = 12/16

The equation simplifies to: x = 3/4

Therefore, the value of x that satisfies the equation -8 + 5(2x + 1) = -(7x + 9) + x is x = 3/4.

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Answer:

405

Step-by-step explanation:

Answer: $370

Step-by-step explanation:

I just added 70 to the 300.

Here you go you for your little iready cheats!  : )

Answer:

112.5

67.5

Step-by-step explanation:

We know the ratio is:

5:3

So, we can write it as:

5x+3x=180, with 5x being one angle, and 3x being the other

combine like terms

8x=180

divide both sides by 8

x=22.5

5(22.5)=112.5

3(22.5)=67.5

So, one angle is 112.5 and the other is 67.5.

Hope this helps!

To determine the cost of 6 pencils at 60 cents a dozen, we need to convert the price per dozen to the price per pencil. We know that a dozen is equal to 12, so we can use the following formula:

Price per pencil = (Price per dozen) / (Number of items per dozen)

So, in this case:

Price per pencil = (60 cents) / (12 pencils)

To convert cents to dollars, we divide by 100.

Price per pencil = (60/100) $ = 0.6 $

To find the total cost for 6 pencils we multiply the price per pencil by the number of pencils

Cost of 6 pencils = 6 * 0.6 = 3.6 $

So the cost of 6 pencils at 60 cents a dozen is 3.6 $.

The probability of an earthquake in any given regions is independent of probability of an earthing in any other region the probability of having exactly 10 earthquakes over a period of 10000 hours in the entire Northeros is approximately 1.

Let the probability of an earthquake in the region in a given hour \(X_{i}\)

Since the probability of an earthquake in any given regions is independent of probability of an earthing in any other region the probability of having exactly 10 earthquakes over a period of 10000 hours in the entire Northeros is given by the following equation:

\(P(x^{'}=10 )=(1-P)^{9990}\)×\(P^{10}\)×\((1-P^{2} )^{9990}\)×\(P^{20} ...\)

\(X(1-P_{m} )^{9990}\)×\((P_{m} )^{0}\)

Since the probability of an earthquake in any given regions is small \((P_{i} =0.001i)\), we can approximate the equation above using the binomial theorem.

This gives us:

\(P(x_{1}=10 )=(1-10P^{1} -P^{1^{2} } )\)×...

Since the probability of an earthquake in any given regions is small, we can approximate the equation above by dropping the terms.

This gives us:

\(P(X_{1}=10 )=(1+10P\)×\(1)(1+0p^{2} )\)

Since the probability of an earthquake in any given regions is small, we can further approximate the equation above by dropping the terms.

\(P(X\)×1=10)=1

Therefore, the probability of having exactly 10 earthquakes over a period of 10000 hours in the entire Northeros is approximately 1.

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The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

13 ppl choose both

Step-by-step explanation:

Hello,

In a restaurant 40% of the customers choose Chinese food

while 65% opt for Pakistani food.

if the restaurant is visited by 260 people then how many opt for both ?

There are 260 people we need to compute

40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food

65% of 260 = 65 * 260/100 = 169  to know the customers choosing Pakistani food

There are ppl choosing both Chinese and Pakistani, let s note x

we can say that 104 + 169 -x = 260

so x = 273-260=13

in conclusion, 104-13=91 ppl choose Chinese food only

169-13=159 ppl choose Pakistani food only

13 ppl choose both

in total there are 91 + 159 + 13 = 260

hope this helps

The number of people who opt for both Chinese and Pakistani food is 13.

We have,

Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".

We are given that 40% of the customers choose Chinese food, which means

C = 40% of 260.

C = 0.4 * 260

C = 104

Similarly, we are given that 65% of the customers opt for Pakistani food, which means

P = 65% of 260.

P = 0.65 * 260

P = 169

Now, we need to determine the number of people who opt for both Chinese and Pakistani food.

To find this, we can use the principle of inclusion-exclusion.

The total number of people who opt for both is given by:

Total = C + P - Both

We know that the total number of customers is 260, so:

260 = 104 + 169 - Both

Rearranging the equation to solve for Both:

Both = 104 + 169 - 260

Both = 273 - 260

Both = 13

Therefore,

The number of people who opt for both Chinese and Pakistani food is 13.

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Answer: 70

Step-by-step explanation:10x70=700+300=1,000

Answer:

4.242;

$500.276 ; $46.724

Step-by-step explanation:

Given the regression equation :

value = -123.298 + 4.242 revenue

y = - 123.298 + 4.242x

y = team value ; x = Revenue

(a) What is the slope of this line?

From ;

y = mx + c

Where ; m = slope

Comparing the equation with, the model equation ;

mx = 4.242x ; Hence, slope, m = 4.242

(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.

Predicted value of hornets based on their revenue :

Revenue = $147,000,000

y = - 123.298 + 4.242(147)

y = - 123.298 + 623.574

y = 500.276

Predicted value is about $500.276 million.

What is the error in this prediction?:

Error = Actual - predicted value

Error = 547 - 500.276 = $46.724 million

Step-by-step explanation:

Draw a line to each similar vertex

Answer:

\(1. \: 9tx {}^{2} - 3tx - 2t \\ \\ 2. \: 3tx {}^{2} + 2tx + 2t\)

Step-by-step explanation:

\(1. \: t(9x {}^{2} - 3x - 2) \\ 2. \: 9tx {}^{2} - 3tx - 2t \\ \\ \\ 1. \: t \times 3x {}^{2} + t \times 2x + t \times 2 \\ 2. \: 3tx {}^{2} + t \times 2x + t \times 2 \\ 3. \: 3tx {}^{2} + 2tx + t \times 2 \\ 4. \: 3tx {}^{2} + 2tx + 2t\)

Answer:

I am willing to help, just send your problems in the comments!

Step-by-step explanation:

You can send the problem in the comments or create a separate question.

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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