i need to know how to solve this

Answer:

Rs 440

Step-by-step explanation:

Price of bicycle = 3520

Price of mobile = 4690

Cost Price of both mobile and bicycle = 3520 + 4690

=> 8210

Selling price of both mobile and bicycle = 8650

Profit = selling price - cost price

= 8650 - 8210

= 440

Therefore he gained Rs 440

Answer:

1 , -2

Step-by-step explanation:

6x^2 + 6x = 12

6x^2 + 6x - 12 = 0

using middle term break method

6x^2 + (12 - 6)x - 12 = 0

6x^2 + 12x - 6x - 12 = 0

6x(x + 2) - 6(x + 2) = 0

(x + 2)(6x - 6) = 0

either (x + 2) = 0                             OR (6x - 6) = 0

x + 2 = 0

x = 0 -2

x = -2

6x - 6 = 0

6x = 6

x = 6/6

x = 1

therefore , x = 1 , -2

9514 1404 393

Answer:

Step-by-step explanation:

This is as much about English comprehension as it is about math. When you read an English sentence, you need to figure out what each of the pronouns, phrases, and modifiers is referring to. When the sentence refers to math operations, you need to determine what each math operation is being applied to. In most cases, a math operation involves two operands, so the trick is to figure out what those are.

__

1. "Two-thirds of the sum ..." will look like 2/3( + ). "The sum of a number and 5" will look like (x+5). So, the words are describing ...

  2/3(x +5) . . . . matches C

__

2. "Seven decreased by ..." will look like 7 -( ). "The quotient of a number and 3" will look like (n/3). So, the words are describing ...

  7 -n/3 . . . . matches B

__

3. Consider the order of operations. When you evaluate 2x²+9, the last operation you perform is addition. That is, the result is a sum. One of the elements of that sum is 9 (the second one). The other element of that sum is the product 2x². The elements of that product are 2 and the square of x. So, one way to describe this expression is ...

  the sum of the product of 2 and the square of a number, and 9.

The order of operations requires that squares be evaluated before multiplication and division, so it is not unreasonable (if slightly more ambiguous) to write this as ...

  the sum of 2 times a number squared and 9 . . . . choice A

Answer:

120 different one-to-one functions

Step-by-step explanation:

A one-to-one function means that each element from the domain can be mapped into only one element from the range (like for a typical function), and each element from the range can be mapped only once.

This means that, for two different inputs x₁ and x₂, we can't have:

f(x₁) = f(x₂)

Because that would mean that two different values of the domain are being mapped into the same element from the range.

Ok, now that we know this, let's count the number of possible "mappings" for each element in the domain.

For the first element, A, we have the options {x, y, z, t, w, k} (a total of 6 options).

For the second element, B, we will have an option less (because one was already taken) so here we have 5 options.

For the last element on the domain, C, there will be again an option less than in the previous case, so here we have 4 options.

The total number of combinations (each combination defines a different one-to-one function) is equal to the product between all the options for each case, then the total number of one-to-one functions is:

C = 6*5*4 = 120

There are 120 different one-to-one functions.

Answer:

Option B

Step-by-step explanation:

In the given triangle,

Two sides of the triangle measure 2 cm and one side measures 3 cm.

Therefore, in this triangle two sides measuring 2 cm are congruent.

Option B is the correct option.

Answer:

105

Step-by-step explanation:

53+22=75, 180-75=105

Answer:

x = 3

Step-by-step explanation:

3(x - 4) = -3

Divide by 3

3/3(x - 4) = -3/3

x-4 = -1

Add 4 to each side

x-4+4 = -1+4

x = 3

Answer:

x = 3

Step-by-step explanation:

Divide each term by  3  and simplify.

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

Cancel the common factor of  3 .

x - 4 = -1

Move all terms not containing  x  to the right side of the equation.

x = -1 + 4

Add -1 and 4.

x = 3

Hope this helps!

Answer:

The correct answer is "(11.69, 29.11)".

Step-by-step explanation:

Given:

[tex]38 \ 36\ 35\ 27\ 15\ 13\ 12\ 10\ 9.6\ 8.4[/tex]

[tex]n=10[/tex]

As per the question,

Mean,

[tex]\bar x=20.40[/tex]

Standard deviation,

[tex]s=12.17[/tex]

or,

[tex]df=10-1[/tex]

    [tex]=9[/tex]

For 95% confidence interval,

[tex]t^*=2.262[/tex]

hence,

The 95% confidence interval will be:

= [tex]\bar x \pm \ t^*\times \frac{s}{\sqrt{10} }[/tex]

By substituting the values, we get

= [tex]20.40 \pm 2.262\times \frac{12.17}{\sqrt{10} }[/tex]

= [tex](11.69, 29.11)[/tex]

Answer:

a)  [tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

b)  [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]

Generally the sets that correspond with the result of at most one tail is therefore given as follows

[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

Therefore

The result is at most one tail when

[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

Answer:

10

Step-by-step explanation:

Total pizza topped with pepperoni, sausage or pepperoni and sausage = 33

Number of pizzas with pepperoni = 29

Number of pizzas with pepperoni and sausage = 15

Pizza with pepperoni only = 29 - 15 = 14

Pizza with sausage only = 33 - 29 = 4

Pepperoni only than sausage only :

14 - 4 = 10

Answer:

c.the mean of each data set

Answer:

A

Step-by-step explanation:

Answer: 52,416,000 km

Step-by-step explanation:

If a comet travels 273,000 km/hr

1) Multiply 273,000 km by 24 hours to find how far the comet travels in one day

2) multiply the answer from 1 by 8 to determine how far it travels in 8 days

1) [tex]\frac{273,000 km}{hr}[/tex]*[tex]\frac{24 hr}{1 day}[/tex] = [tex]\frac{6,552,000km}{day}[/tex] (hours cancel out)

2)[tex]\frac{6,552,000km}{day}[/tex]*8 day= 52,416,000 km in 8 days

The comet approximately travelled 52,416,000km from when it began to travel to when it reached Earth. Hope this helped :)

Answer:

Step-by-step explanation:

1. Do not see a figure, and unsafe to download and execute .docx.

2. Vectors LM<5,-5>, NM<3,3>, NL<2,-8>

Since LM.NM = 15-15 = 0, LM and NM are orthogonal, hence the given points form a right triangle.

3. A parallelogram has opposite sides parallel.

Slope PQ = (4-2) / (-1 - -6) = 2/5

Slope RS = (2-0) / (2- -3) = 2/5

Therefore PQ || RS

Slope PS = (2-0)/(-6- -3) = -2/3

Slope QR = (4-2)/(-1 -2) = -2/3

Therefore PS | QR

Since opposite sides are parallel, PQRS is a parallelogram

Answer:

Step-by-step explanation:

1. There are 31 complete are almost complete squares.

Top line is about 3.5 squares

Right side is about 1.8

Bottom about 3.5 and left side about 1.2.

Total approximately 41 square units.

2. If it is a right triangle then 2 sides will be perpendicular.

Slope of LM = (-1-4)/(3 +2 = -1

Slope of MN = (-4+1)/ -3 = -3/-3 = 1.

So as the product of the slope = -1 * 1 = -1 the angles between LM and MN is a right angle and LMN is a right triangle.

9514 1404 393

Answer:

  m∠3 = 63°

Step-by-step explanation:

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. The obtuse and acute angles are supplementary.

Angle 1 is an obtuse angle; angle 3 is an acute angle.

  angle 3 = 180° - angle 1 = 180° -117° = 63°

The measure of angle 3 is 63°.

_____

Additional comment

There are a number of applicable theorems describing the different angle relationships. Taken together, they are summarized by the first statement above. For example, we could declare angles 1 and 4 to be "corresponding" (hence, congruent), and angles 4 and 3 to be a "linear pair", hence supplementary. The net result is that angle 1 is supplementary to angle 3, as we said above.

We could also get there via relations between alternate exterior angles, alternate interior angles, consecutive exterior or interior angles, and other ways. While that terminology is useful to understand in some problems, it is largely irrelevant here.

Answer:26.4

Step-by-step explanation:1.2 x22

Answer:

$133.20

Step-by-step explanation:

You make 7.20 an hour for 18 1/2 hours. You must multiply to know how much she made that week

7.20/hr = ?/18 1/2 hr

7.20 x 18 1/2

7.20 x 18.5=

133.20

9514 1404 393

Answer:

  C.  7 units down

Step-by-step explanation:

The y-coordinate of a point on a graph is the function value. It tells how far up from the x-axis the point is located. When 7 is subtracted from the function value, the y-coordinate is 7 less than it was. That is, the point has moved 7 units down.

Answer:

-17

Step-by-step explanation:

28-45= -17 dollars in her account

The following statistics which would provide a good comparison between data sets is all of the above and is denoted as option A.

This refers to the branch of science which involves the collection and interpretation of data sets or variables. There are different ways or techniques which are used and they vary according to the features of the data set.

There are statistics which provide a good comparison between data sets include the following below:

This comparison is done so as to to prove that there are no differences between them and other reasons.

Read more about Mean here https://brainly.com/question/19243813

#SPJ1

Answer:

Why do we need an order of operations?

Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?

We know there are 14, but how do we write this calculation? If we just write

2 + 3 x 4

how does a reader know whether the answer is

2 + 3 = 5, then multiply by 4 to get 20 or

3 x 4 = 12, then 2 + 12 to get 14?

There are two steps needed to find the answer; addition and multiplication. Without an agreed upon order of when we perform each of these operations to calculate a written expression, we could get two different answers. If we want to all get the same "correct" answer when we only have the written expression to guide us, it is important that we all interpret the expression the same way.

One way of explaining the order is to use brackets. This always works. To say that the 3 x 4 is done before the adding, we would use brackets like this:

2 + (3 x 4)

The brackets show us that 3 x 4 needs to be worked out first and then added to 2. However, we can also agree on an order of operations, which is explained below.

Another example: Calculate 15- 10 ÷ 5

If you do the subtraction first, you will get 1. If you do the division first, which is actually correct according to the rules explained below, you will get 13. We need an agreed order.

Answer:

option B

Step-by-step explanation:

[tex]\sqrt[3]{x^5 \ y} = (x^5 \ y )^\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ [ \ \sqrt[n]{x} = x^\frac{1}{n} \ \ , \ (xy)^a = x^a y^a]\\\\[/tex]

        [tex]= x^{ (5 \times \frac{1}{3} )} \ y ^{\frac{1}{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ ( x^a )^b = x^{ab} \ ]\\\\\\[/tex]

        [tex]= x^{\frac{5}{3} }\ y^{\frac{1}{3}}[/tex]

Answer:

A. The given value is a parameter for the week because the data collected represent a population    

Step-by-step explanation:

Parameters in a study refers to the numbers that are used to summarize the data for the entire population. Whereas, a statistic are used to summarize the data from a sample only.

In the context, it is given that a person measures the voltage supply to his home for all the seven days and finds the average value of the voltage. The homeowner here considers the population of his sample to make his study.

Thus it is a parameter for the entire week as the data represents a population.

Given:

[tex]P=\$120,000[/tex]

[tex]r=5.3\%[/tex]

[tex]t=8\text{ years}[/tex]

To find:

The value of the investment when the interest is compounded annually.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal, r is the rate of interest in decimal, n is the number of time interest compounded in an years, and t is the number of years.

The interest is compounded annually. So, [tex]n=1[/tex].

Substituting [tex]P=120000, r=0.053, n=1, t=8[/tex] in the above formula, we get

[tex]A=120000\left(1+\dfrac{0.053}{1}\right)^{1(8)}[/tex]

[tex]A=120000\left(1.053\right)^{8}[/tex]

[tex]A=181387.85936[/tex]

[tex]A\approx 181387.86[/tex]

Therefore, the value of the investment after 8 years is $181,387.86.

9514 1404 393

Answer:

  6 = 6/1 = 12/2 = 18/3

Step-by-step explanation:

The simplest ratio of integers with a value of 6 is ...

  6 = 6/1

We can multiply numerator and denominator by any non-zero integer value to obtain an equivalent:

  6 = 12/2 = 18/3 = -54/-9

Answer:c

Step-by-step explanation:

The equivalent expression is 1 + In 2 - In x.

Given:

[tex]$\ln \left(\frac{2 e}{x}\right)$[/tex]

Apply log rule:

[tex]$$\log _{C}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b)$[/tex]

[tex]$&\ln \left(\frac{2 e}{x}\right)=\ln (2 e)-\ln (x) \\[/tex]

= ln (2e) - ln (x)

Apply log rule:

[tex]$\log _{c}(a b)=\log _{c}(a)+\log _{c}(b)$[/tex]

ln (2e) = ln (2) + ln (e)

= ln (2) + ln (e) - ln (x)

Apply log rule:

[tex]$\log _{a}(a)=1$[/tex]

= ln (2)+1-ln (x)

Therefore, the correct answer is option C. 1 + In 2 - In x.

To learn more about log rule

https://brainly.com/question/1807994

#SPJ2

Answer:

The height of the scale model is of 91.14 cm.

Step-by-step explanation:

Scale problems are solved by proportions, using rule of three.

A scale model of a building has a scale of 3 : 79.

This means that 3m on the drawing represent 79m of real height.

The height of the real building is 24 m.

3m - 79m

xm - 24m

Applying cross multiplication

[tex]79x = 72[/tex]

[tex]x = \frac{72}{79}[/tex]

[tex]x = 0.9114[/tex]

In centimeters:

Multiplying by 100:

0.9114*100 = 91.14 cm.