if the cost of 2 dozen pens is Rs 600 how much more is the cost of 30 pens​

Answer:

[tex]\frac{x }{x^{2}-9 } +\frac{9}{x}=\frac{x^{2} }{x(x^{2}-9) }+\frac{9(x^{2}-9) }{x(x^{2} -9)}\\\\=\frac{10x^{2} -81}{x(x-3)(x+3)}[/tex]

Step-by-step explanation:

The average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland.

Three tickets in Switzerland plus two tickets in Japan would cost $75.24.

Therefore,

let

x = cost of Japan tickets

y = cost of Switzerland tickets

Hence,

3x + 2y = 79.31

2x + 3y = 75.24

3x + 2y = 79.31

3x + 4.5y = 112.86

2.5y = 33.55

y = 33.55 / 2.5

y = $13.42

3x + 2(13.42) = 79.31

3x = 79.31 - 26.84

3x = 52.47

x = 52.47 / 3

x = $17.49

Therefore, the average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

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Answer:

22.4

Step-by-step explanation:

Answer:

$22.40

Step-by-step explanation:

To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.

In this situation, you would multiply 320 by .07.

(320)(.07) = 22.40

Therefore, the amount of sales tax is $22.40.

I hope this helps!!

- Kay :)

Answer:

no it is. not

Step-by-step explanation:

but some consider it an identity but it's not

Answer:

  326 ft²

Step-by-step explanation:

You want to know the area of the library, which is a composite shape.

The area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.

The formula for the area of a rectangle is ...

  A = LW

Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.

The upper rectangle is 30 ft wide and 5 ft high, so its area is ...

  A = (30 ft)(5 ft) = 150 ft²

The lower rectangle is 22 ft wide and 8 ft high, so its area is ...

  A = (22 ft)(8 ft) = 176 ft²

The area of the library will be the sum of these two rectangular areas:

  library area = 150 ft² +176 ft² = 326 ft²

The library area is 326 square feet.

__

Alternate solution

The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...

  (30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²

The method shown above does not require calculating missing dimensions, so is more straightforward.

Answer:

5. ○ D. 600 in.­³

6. ○ C. 3900 in.³

Step-by-step explanation:

5.

Use the following formula to calculate the volume:

[tex]\boxed{\mathrm{Volume = length \times width \times height}}[/tex],

where:

• length = 24 in.

• width = [tex]12\frac{1}{2}[/tex] in.

• height = 2 in.

Substituting these values into the formula:

Volume = [tex]24 \times 12\frac{1}{2} \times 2[/tex]

             = 600 in³

∴ D. is the correct option.

6.

Here, we can see that the height of the water that Yolanda will put in the tank is 5 inches less than 18 in. because the sand takes up 2 in. and the gap at the top takes up 3 in.

• height of water = 18 - 3 - 2

                             = 18 - 5

                             = 13 in.

• length = 24 in.

• width = [tex]12\frac{1}{2}[/tex] in.

∴ Volume = [tex]24 \times 12\frac{1}{2} \times 13[/tex]

                = 3900 in³

∴ The correct option is C.

Answer:

C; It would become wider due to using the z-distribution

Step-by-step explanation:

Mathematically, we go on to look at the formula for confidence interval calculations here

The formula involves multiplying z by the s

which is the z-value and the standard deviation

Increasing the standard deviation value means we are increasing the product of multiplying z and s

This means that we are getting a larger value for the multiplication

Thus, we now have a wider confidence interval value as a result of a larger product

So this means that the CI would become wider due to the usage of the z-distribution

Answer:

D

Step-by-step explanation:

D

Answer: D

Step-by-step explanation: i just took the test

Answer:

324352

Step-by-step explanation:

Answer:

the interest rate is 3/5

Step-by-step explanation:

i=prt

2700= 5000•r•9

2700= 45000r

2700/45000= 45000r/45000

2700/45000= r

*reduce the fraction to simplest form*

r= 3/5

Answer:

49.3

Step-by-step explanation:

3.40 x 2.90 x 5.00 = 49.3 :)))

The surface area of the ice cream waffle cone is found to be 263 square cm.

A cone is a shape formed by connecting a common point, known as the vertex, to all of the points of a circular base with a set of line segments (that does not contain the vertex).

Now, as per the given question;

The ice cream waffle is in the shape of the cone.

The diameter if the cone is given as 8.5 cm.

Then, the radius 'r'  of the cone will be 8.5/2 = 4.25 cm.

The slat height 'l' if the cone is 19.73 cm.

The formula for finding the surface area is;

SA = πrl

Substituting the values;

SA = π×4.25×19.73

SA = 263.43

SA = 236 cm.

Therefore, the surface area of the ice cream waffle cone is estimated as 236 cm².

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Answer:

Points F, J, and H are collinear

Step-by-step explanation:

just took exam

The statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.

We have to find out which statement is wrong regarding ΔFGH is similar to ΔFIJ.

Here the statement points F, J, H are collinear are not used to prove the similarity of both triangle because if these three points are collinear than there is no triangle possible and when there is no triangle than how we prove similar to them.

So when F,J and H are collinear than we can't prove similar to both the triangles.

But in all the other points we can prove the similarity of both the triangles.

Hence the statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.

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a. Mean of data set = 29

b. Median of data set = 29

c. Mode of data set= 25, 26, 30

d. Midrange of data set = 32.5

What is mode of data set?

Mode of a data set is the value that appears the most often in a data set.

Given that;

Super Bowl ages listed below,

41, 24, 30, 31, 32, 29, 25, 26, 26, 25, 30,

Now, Calculate mean of the data as,

Mean = 41 + 24 + 30 + 31 + 32 + 29 + 25 + 26 + 26 + 25 + 30 / 11

         = 319 / 11

         = 29

And, Calculate Median of data as;

Firstly arranged in ascending order,

24, 25, 25, 26, 26, 29, 30, 30, 31, 32, 41

Since, There are 11 numbers (odd).

Hence, Median = 29

And, Calculate Mode of data set as;

Since, Mode of a data set is the value that appears the most often in a data set.

So, Mode = 25, 26, 30

Since, Midrange of data set is exactly halfway between the minimum and maximum numbers in a set of data.

So, Midrange = 41 + 24 / 2

                    = 65/2

                    = 32.5

Thus, Mean of data set = 29

Median of data set = 29

Mode of data set= 25, 26, 30

Midrange of data set = 32.5

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The complete question is this;

Super Bowl Ages Listed below are the ages of the same 11 players used in the preceding exercise. How are the resulting statistics fundamentally different from those found in the preceding exercise?

41 24 30 31 32 29 25 26 26 25 30

Calculate the value of;

A. Mean

B. Median

C. Mode

D. Midrange

Answer:

7/49 = 1/7

Step-by-step explanation:

sueuhsjadsi

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

The equivalent expression is  

✔ 3y + 2

.

The value of both expressions when y = 5 is  

✔ 17

.

The expressions are  

✔ equivalent

.

Step-by-step explanation:

Answer:

-5 is a root

Step-by-step explanation:

It would help to see any possible answers for this if this is a multiple choice question, but if a factor of f(x) is (x+5), then -5 must be a root of a function.

To find roots, set factor equal to zero and solve:

x + 5 = 0

x = -5

Answer:

(-1;4).

Step-by-step explanation:

[tex]\left \{ {{4x+3y=8} \atop {4x-3y=-16}} \right. \ + \ = > \ \left \{ {{8x=-8} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{x=-1} \atop {4x+3y=8}} \right. \ = > \ \left \{ {{y=4} \atop {x=-1}} \right.[/tex]

Answer:

7868

Step-by-step explanation:

⇒ This can be written algebraically (with a variable x) as:

562 ÷ x = 14

⇒ Convert the division as a fraction:

[tex]\frac{562}{x}[/tex] = 14

⇒ Multiply both sides by 562 to get rid of the fraction and to isolate the variable x:

562 · [tex]\frac{562}{x}[/tex] = 14 · 562

⇒ Simplify:

x = 7868

Answer: 7868

Hope this helps! :)

Spinning a blue is unlikely

Spinning a red or yellow is likely

Spinning another colour is impossible

Spinning red is neither likely nor unlikely

Fundamentally crucial is the contrast between probability and likelihood: While likelihood is attached to hypotheses, probability is attached to potential outcomes. This first column's goal is to clarify this distinction.

The set of potential outcomes is complete and mutually exclusive. Let's say we ask a participant to forecast the results of ten coin flips. There are only 11 potential outcomes (0 to 10 correct predictions). One and only one of the potential outcomes will ever be the actual outcome. Therefore, the probability associated with the potential outcomes must add up to 1.

Contrary to outcomes, hypotheses are neither exhaustive nor mutually exclusive.

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Answer:

729

Step-by-step explanation:

If a number is both square and cube, it can be represented to an integer to the power of 6.

This means the next number is 3⁶ = 729.

Answer:

Help: If 30 miles takes up 1 gallon what’s 30x15?

Step-by-step explanation:

Answer:

C. 3,632 boxes

Step-by-step explanation:

To solve this, we multiply 4/13 by 11,804 which gives 47,216/13, then when divided gives us 3,632.

Answer:

Step-by-step explanation:

Correct choice is B

Answer:

Solution given:

tan (2π-x)

=tan (360-x)

=-tanx

we have

tan x=²/5

so

-tan x=-2/5.

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent one number and y represent the other number. The sum of the two real numbers is two. Hence:

x + y = 2  

y = 2 - x    (1)

The product is -24, hence:

xy = -24

x(2 - x) = -24

2x - x² = - 24

x² - 2x - 24 = 0

x² - 6x + 4x - 24 = 0

x(x - 6) + 4(x - 6) = 0

(x + 4)(x - 6) = 0

x = -4 and x = 6

The two real numbers with a sum of 2 and a product of −24 is -4 and 6.

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