a taxi driver charges £m per mile.write an expression for them total cost of 2 mile journey 15,mile journey a journeymof x miles​

Answer:

Gradient=¾

Step-by-step explanation:

Write the equation in slope-intercept form y=mx+c

3x-4y=24

-4y=24-3x

y=24/-4-3x/-4

y=-6+¾x

y=¾x-6

The gradient is therefore ¾

The y-intercept of the line occurs at(0,-6)

The x-intercept of the line occurs at(8,0)

Finding the midpoint of the two intercepts

{(x1+x2)/2,(y1+y2)/2}

M={0+8/2,(-6+0/2)}

M={8/2,-6/2}

M=(4,-3)

As you can see, the other information was not required to solve it

The dairy farmer used the relative frequency method of probability to reach his conclusion.

Relative frequency is a method of calculating probability that is based on the observation of how often an event occurs in a sample. The farmer likely observed how often he gets between 12 and 14 gallons of milk in a day and used that data to calculate the probability of it happening.

In contrast, theoretical probability is based on the assumption that all possible outcomes are equally likely. It is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

Therefore, the correct answer is relative frequency.

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For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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The probability represents the combination consists only of even numbers as per given condition is equal to 0.020.

Total numbers in combination lock = 38

Numbers from 0 to 37.

To find the probability that the combination consists only of even numbers,

Determine the total number of combinations that can be formed using only even numbers

And divide it by the total number of possible combinations.

Total number of even numbers in the lock

= 19 (since there are 19 even numbers from 0 to 37)

Calculate the total number of combinations using only even numbers,

Use the concept of combinations (nCr).

Since there are 19 even numbers to choose from,

Choose 4 numbers without repetition, the number of combinations is,

Number of combinations

= ¹⁹C₄

= 19! / (4!(19-4)!)

= (19 × 18 × 17 × 16) / (4 × 3 × 2 × 1)

= 3876

Now, calculate the total number of possible combinations without any restrictions.

Since we have 38 numbers to choose from,

and  choose 4 numbers without repetition, the number of combinations is,

Number of total combinations

= ³⁸C₄

= 38! / (4!(38-4)!)

= (38 × 37 × 36 × 35) / (4 × 3 × 2 × 1)

= 194,580

Finally, find the probability by dividing the number of combinations using only even numbers by the total number of combinations,

Probability

= Number of combinations using only even numbers / Total number of combinations

= 3876 / 194580

≈ 0.0199

≈ 0.020 Rounded to three decimal places.

Therefore, the probability that the combination consists only of even numbers is approximately 0.020.

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Answer:

17²=15²+x²

289=225+x²

288-225=x²

64=x²

x=6

Answer:

8

Step-by-step explanation:

By Pythagoras theorem,

(hypotenuse)² =  (altitude)² + (base)²

(17)² = x² + (15)²

(17)² - (15)² = x²

289 - 225 = x²

x² = 64

x = √64

x = 8

hope this helps you!

A list of dependent quantities from a table would include only those variables that are changing in response to the independent variable.

An explanation of independent and dependent variables in a table.

The independent variable is the variable that is changed or manipulated by the experimenter.

It is usually placed in the first column of the table.

The dependent variable on the other hand is the variable that changes in response to the independent variable.

It is usually placed in the second column of the table.

Let's say we are conducting an experiment to see how the time spent exercising affects the number of calories burned.

The independent variable would be the time spent exercising and the dependent variable would be the number of calories burned.

Our table might look something like this:

Time Spent Exercising (minutes) Calories Burned

10 100

20 200

30 300

40 400

"Time Spent Exercising" is the independent variable as it is the variable that we are changing.

"Calories Burned" is the dependent variable as it is the variable that is changing in response to the time spent exercising.

A list of dependent quantities from a table would include only those variables that are changing in response to the independent variable. Without seeing the specific table mentioned I cannot give an answer with complete accuracy but I hope this explanation helps clarify the concept of dependent and independent variables in a table.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

3x - 9 ===> A

x + 13 ===> C

5y ====> B

Step 02:

We must apply the properties of triangles.

x + 13 = 5y eq.1

3x - 9 = x + 13 eq.2

eq .2

3x - 9 = x + 13

3x + x = 13 + 9

4x = 22

x = 22/4 = 11 / 2

eq. 1

x + 13 = 5 y

The answer is:

x = 11 / 2

y = 37 / 10

Answer:

C

Step-by-step explanation:

\(\frac{35}{100}*1800\\35*18\\\)

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

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If a bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. The height of the 7th bounce of the ball is 0.7.

Given data:

First bounce = 3.75 feet

Successive bounce = 79% or 0.79%

Bounce = 7

Now let determine the height of thee 7th bounce of the ball using this formula

Height =  First bounce  × (Successive bounce) ^ Number of bounce

Let plug in the formula

Height = 3.75 × (0.79 ) ^7

Height  = 0.7

Therefore the height is 0.7.

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Answer:

u is 3.14118137

Step-by-step explanation:

The given logarithmic expression 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)] can be written as single logarithm as log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2] .

A single logarithm by virtue of the laws of logarithms as follows;

= 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)]

= log(2)^2 + log x^3 - log(x+3)^1/2 + log(x+2)^1/2

= log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2]

Therefore, the single logarithm is log [(2^2)(x^3)/(x+3)^1/2 (x+2)^1/2].

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The complete question is

'Rewrite the following expression as a single logarithm: 2log 2+ 3log x - 1/2 [log(x+3)+log(x+2)].'

A circle can be represented as an equation or on a graph

The equations of the circles are \(x^2 + y^2 = 36\) and \((x + 4)^2 + (y + 2)^2 = 16\)

The equation of a circle is represented as:

\((x - a)^2 + (y - b)^2 =r^2\)

Where:

Center = (a,b)

Radius = r

For circle A, we have the equation to be:

\((x - 0)^2 + (y - 0)^2 =6^2\)

\(x^2 + y^2 = 36\)

For circle B, we have the equation to be:

\((x + 4)^2 + (y + 2)^2 =4^2\)

\((x + 4)^2 + (y + 2)^2 = 16\)

Hence, the equations of the circles are \(x^2 + y^2 = 36\) and \((x + 4)^2 + (y + 2)^2 = 16\)

See attachment for the graphs

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Answer:

A. (green)
x2 + y2 = 36

B. (orange)
(x + 4)2 + (y + 2)2 = 16

Step-by-step explanation:

Have an AWESOME day
Love yaa
-NaomiTheGenius

Answer:

A) Answer is 3

B) Unlikely

Step-by-step explanation:

A) Most number in the spinner

B) Two means unlikely

Answer:

A: 3

B: Unlikely

C: the X would go on the 1.

Step-by-step explanation:

In order to view more detail in the condensed data columns, we can expand the columns by clicking on the arrow icon located on the right side of the column header.

By clicking on the arrow icon located on the right side of the column header, this can expand column and show more detailed information of the fever report.

Effectively, the feature allows to easily access all the relevant data without having to switch between different views or reports which makes it more efficient and user-friendly. Also, we can also customize the columns and choose which data to display based on your preferences and needs.

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The question is incorrect, please see the correct question below;

Kevin is 2 times as old as Gabriela. 12 years ago, Kevin was 6 times as old as Gabriela.

How old is Gabriela now?

Gabriela age is 30 years

Let a represent Gabriela age

Let b represent Kelvin age

a= 2b

a-12= 6(b-12)

a-12= 6b-72

2b-12= 6b-72

2b-6b= -72+12

-4b= -60

b= 60/4

b= 15

a= 2(15)

a= 30

Hence Gabriela age now is 30 years

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Answer:

1 ⅚ miles.

Step-by-step explanation:

Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

\(\frac{-36}{-216} \\=\frac{36}{216} \\=\frac{1}{6}\)

The area of the composite figuren as shown in the diagram is 90 in².

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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Answer:

yes they are similar

Step-by-step explanation:

Answer:

yes these triangles are similar.

Answer:

28

Step-by-step explanation:

If 1/6 of the markers are red (8) then 8 * 6 = 48 meaning Oona has 48 markers, 8 of them being red.

1/4 of 48 is 12, so 12 yellow markers

If the rest are blue, then 8+12 = 20 and 48-20=28

There are 28 blue markers

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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Step-by-step explanation:

Given: x=5 and y=6

=>4x2+3y

=> 8+3(6)

=> 8+18

=> 26

Hope it helps

The value of this expression is 58

Algebraic expression is a mathematical sentence that involves all mathematical operations.

In an algebra - a real number is always accompanied by some letter, which can represent a variable or unknown.

— To solve this expression, just: change the letters for the numbers and multiply/add.

⚘ Resolution

\(\large \sf 4x2+3y\)

\(\large \sf 4 \cdot 5 \cdot 2 +3 \cdot 6\)

\(\large \sf 40 +18\)

\(\red{\boxed{\boxed{\green{\large \sf \ 58 \ }}}}\\\)

Therefore, the value of this expression will be 58

Answer:

≥ means equal or bigger.

So 5x should be equal or bigger than 45.

Which means x can be 9 or 10/11/12...

Answer:

12.2 km

Step-by-step explanation:

Here is ONE way :

7.6 mi * 5280 ft/mi * 12 in / ft   /   (39.37 in / m * 1000 m / km)  = 12.2 km  

Answer:

Disturbute

Step-by-step explanation:

2p-2j

Answer:

ugh should i drop out

Step-by-step explanation:

The answer to this question is 13x + 5y = 48. <3

Answer:

20

Step-by-step explanation:

115+x = 135 (remote interior angles)

x = 135-115

x = 20

Please Make Me Brainlist

Answer:

20

Step-by-step explanation:

first look at the line which says a and 135, they add up to 180 so

a + 135 =180

a= 180-135

a= 45

Then to find the x we will have to add all the angles inside the triangle which would add up to 180

So,

x+115+45=180

x+160=180

x=180-160

x=20

THEREFORE X = 20⁰

The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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