In a sale, the normal price of a car has been reduced by 30%. The new price is £6300, what was the normal price

Answer:

AGD=180-90

=90

FGD=CGE=23

AGF=90-23

=67degrees

[tex]sin(C)=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{9}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2 - 4^2}=a\implies \sqrt{65}=a \\\\[-0.35em] ~\dotfill[/tex]

[tex]tan(C)=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{\sqrt{65}}}\implies tan(C)=\cfrac{4}{\sqrt{65}}\cdot \cfrac{\sqrt{65}}{\sqrt{65}}\implies tan(C)=\cfrac{4\sqrt{65}}{65}[/tex]

Answer:

Step-by-step explanation:

The number of horses that Samir must sell in order to break even is 6 horses.

Calculations and Parameters:

Given:

Fixed cost = $300

Variable cost = $75 on each supply

Revenue = $125 on each horse.

To find breakeven, we must remember that the revenue and cost are equal.

Therefore, we create a function and use this to solve:

125x= 300  + 75x

125x-75x = 300

50x = 300

x= 6

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#SPJ9The number of horses that Samir must sell in order to break even is 6 horses.

Calculations and Parameters:

Given:

Fixed cost = $300

Variable cost = $75 on each supply

Revenue = $125 on each horse.

To find breakeven, we must remember that the revenue and cost are equal.

Therefore, we create a function and use this to solve:

125x= 300  + 75x

125x-75x = 300

50x = 300

x= 6

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Answer:

D)

Step-by-step explanation:

we know that,

Parallel lines have the same slope

given equation is in the form given by

[tex] \displaystyle y = mx + b[/tex]

where m is know

as [tex]m_{parallel}=m[/tex], the answer is -⅔

In the second graph, these points are located. As a result, the second graph is the function's correct graph.

In mathematics, the term "linear function" refers to two different but related ideas. In calculus and related fields, a quadratic variable of grade 0 or 1 is a linear function if its graph is a direct line. A straight line on a reference system is a representation of a linear function. For instance, the linear function y = 3x - 2 is a straight line just on coordinate plane, hence it is a linear function. Since f(x) may be connected to y, the function can be represented by f(x) = 3x - 2.

given

The function provided is

This function is defined for any x values that are positive, including 0.

The radical expression x has a constant positive value. Given that is a function, it is always negative.

At x=0, = 0

At x=1, = -4

At x=4, = -8

This indicates that the graph of the specified function traveling through the points (0,0), (1,-4) and (4,-8).

In the second graph, these points are located. As a result, the second graph is the function's correct graph.

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Answer: 8 products in 1 minute

Step-by-step explanation:

6 min=48 products

48/6=8

1 min= 8 products

Answer:

5- 20

Step-by-step explanation:

the highest points that is in line with 1000 is above the 5° mark. and the rest of the points betweent elevation 1000 and 2000 are above 5

so therefore it will be from 5-20

Answer:

11/2is the answer hope it helps

Step-by-step explanation:

The problem states that you have a linear function so expect your equation to have this form:

y = mx + b

where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.

m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)

= 54/9 = 6

So our equation now becomes

y = 6m + b

To solve for b, plug in the values of P1:

6 = 6(5) + b ---> b = -24

Therefore, our equation is

y = 6m - 24

The rest of the points are

(8, 24)

(11, 42)

Answer:

-20.50?

Step-by-step explanation:

I think you said he added 5 dollars in his account which would get some of his debt removed. But he would still have a remaining -20.50 dollars to get rid of.

Answer:

A

Step-by-step explanation:

Commutative Property of Addition states that a change in the order of terms does not change your sum.

The given statement is example of the commutative property of addition. So, option A is the correct answer.

According to the commutative property of addition, changing the order of addends has no impact on the sum.

The given statement is x+y=y+x.

Only addition and multiplication operations are under the scope of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers.

Example, 3+8=8+3

⇒ 11=11

So, x+y is same as y+x

Therefore, option A is the correct answer.

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Answer:

just simple ;

Step-by-step explanation:

As there are 48 hours in whole day and night as 11$ costs for 3 hours and for 3 is divided by 48 so it gives :it gives 16 hours multiply 16 by 11$ it gives 176$

Answer:

3p^3 (-p^4 + 1)

Step-by-step explanation:

The common factor of both -3p^7 and 3p^3 is 3p^3

Divide -3p^7 by 3p^3 and get -p^4

Divide 3p^3 by 3p^3 and get 1

So the factorisation is 3p^3 (-p^4 + 1)

Answer:10 ft

Step-by-step explanation:

When the state of an object is changed from one to another it is known as translation in mathematics and they are of three types.

The three types of translation in math are

When the object moves either from left to right or from right to left it is known as vertical translation.

The movement in up or downward direction of the graph is known as  horizontal translation.

The domain of the function remains same in both the cases.

A translation in which the size of the object decreases or is compressed is known as the compression translation.

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Answer:

c = 9

Step-by-step explanation:

simplify terms first

7c -2c=45

5c = 45

divide both sides by 5

c = 9

Answer:

7c-2c=45

5c=45

c=45/5

c=9

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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The x-intercept and the y intercept of the graph of 6x - 3y = 36 are x = 6 and y = -12

How to determine the x-intercept and the y intercept of the graph?

From the question, we have the following parameters that can be used in our computation:

6x - 3y = 36

Set y to 0 to determine the x-intercept

So, we have the following representation

6x = 36

Divide by 6

x = 6

Set x to 0 to determine the y-intercept

-3y = 36

Divide by -3

y = -12

hence, the intercepts are x = 6 and y = -12

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To calculate undefined FG, subtract the original gravity (OG) from the final gravity (FG) of the beer. This will give you the amount of sugar that has been fermented and, therefore, the amount of alcohol produced. The formula is:

Undefined FG = OG – FG

In order to calculate the undefined FG of a beer, the original gravity (OG) and the final gravity (FG) of the beer must first be determined. The OG is a measure of the sugar content of the wort before fermentation, while the FG is a measure of the sugar content of the beer after fermentation. To calculate the undefined FG, the OG is then subtracted from the FG. This calculation provides the amount of sugar that has been fermented by the yeast, and therefore the amount of alcohol produced. This calculation is important for brewers, as it provides a quick and easy way to determine the ABV of a beer. In addition, the undefined FG can be used as a measure of the fermentation efficiency of the yeast, as a higher undefined FG indicates that more sugar has been fermented than a lower undefined FG. Understanding the undefined FG of a beer can help brewers make informed decisions about their brewing process and the quality of their beers.

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Answer:

y = -3/4x + 36

Step-by-step explanation:

In slope-intercept form, (y = mx + b), m is the slope and b is the y intercept. The slope is the rise/run. You can count from one point to another that you move down 3 and to the right 4. So your rise/run is -3/4.

The y-intercept is 36, because that is where the line crosses the y-axis.

So you can substitute the values into the equation:

y = mx + b

y = (-3/4x) + (36)

y = -3/4x + 36

Therefore , the solution of the given problem of expression comes out to be -1.07+(-2.917)-4.3=-8.287.

An expression is made up of a number, a variable, or a combination of both, along with certain operation symbols. Two expressions that make up an equation are separated by an equal sign. Example of a Word 8, 3, and the result is 11.

Here,

Given :  the numbers 4. 3, -1. 07, and -2. 971

Using the above given numbers we can construct

an expression which contain both

addition and subtract

thus ,

In order to form we use + sign and - sign

We get,

-1.07+(-2.917)-4.3=-8.287

Therefore , the solution of the given problem of expression comes out to be -1.07+(-2.917)-4.3=-8.287.

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Given:

Dimensions of a block are [tex]\dfrac{1}{3}\times 1\times 1[/tex].

To find:

The number of block that can be fit in a unit cube.

Solution:

Volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth or width and h is the height of the cuboid.

So, the volume of the given block is:

[tex]V_1=\dfrac{1}{3}\times 1\times 1[/tex]

[tex]V_1=\dfrac{1}{3}[/tex]

Dimensions of a unit cube are [tex]1\times 1\times 1[/tex]. So, the volume of the unit cube is:

[tex]V_2=1\times 1\times 1[/tex]

[tex]V_2=1[/tex]

We need to divide the volume of unit cube by the volume of a block to find the number of block that can be fit in a unit cube.

So, the number of blocks that fit in a unit cube is:

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{1}{\dfrac{1}{3}}[/tex]

[tex]n=3[/tex]

Therefore, the correct option is B.

Answer:

the answer would be "b" 3 because its in 1/3 and the block is 1/3

Answer:

y - 5 = 5(x - 1)

Step-by-step explanation:

Two points on the graph are (1, 5) and (7, 35).  Going from the first to the second, we see x (the 'run') increasing by 6 and y (the 'rise') increasing by 30.  Hence the slope of this line is m = rise / run = 30/6, or 5.

Using the point-slope equation, we get

y - 5 = 5(x - 1)

The percentage of beads on clearance are plastic is 50%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Total number of beads = 18

Number of beads which are plastic on clearance = 9

Percentage of beads which are plastic on clearance = (9 / 18) × 100

                                                                                        = (1/2) × 100

                                                                                        = 0.5 × 100

                                                                                        = 50%

Hence 50% of beads on clearance are plastic.

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Answer:

25%

Step-by-step explanation:

Here is my punnett square:

                    D             d           <---parent 1

     D          DD           Dd

     d          Dd           dd

    ^

    |

    |  parent 2

The results: DD, Dd, Dd, dd

DD, Dd: will have dimples because they have a dominant allele in their genotype. So in their phenotype, they will have dimples.

dd: will not have dimples because they do not have the dominant allele for dimples in their genotype. So in their phenotype, they will NOT have dimples.

3 cases (25% chance for DD, 50% chance for Dd, 25% chance for dd)

1/4 is DD is 25%

2/4 is Dd is 50%

and 1/4 is dd is 25%

answer: 25%

Have a nice day!

Answer:

20%

Step-by-step explanation:

3 + 4 + 3 + 5 + 1 + 3 + 6=25

She has 5 pink socks so 5/25 as a percent is 20%

After solving, the possible domain in interval notation is (0, 7).

In the given question, a researcher is following the growth of a particular type of flower.

The equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n

According to the given information,

The height of the plant is modeled by the function= f(n)

The height of the plant is approximately 11.04cm when the number of days = 7

The days are started from n > 0 and n<=7

Hence the possible domain in interval notation = (0, 7)

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The complete question is:

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm What is a reasonable domain toplot the growth function?

Part B: What does the y-intercept of the graph of the function () represent?

Part C: What is the average rate of change of the function f(n) from n = 2 ton, and what does it represent?