on Tuesday the shop receives x cents by selling bottles of water at 45 cents each. In terms of x, how many bottles were sold​

The coordinates of the midpoint M are (-4,6)

Midpoint is the middle point of line segment. Measuring the distance between the two end points and divide the result by 2 this distance is known as midpoint of that line. Adding two end point of x and y and divide the sum by 2 we get coordinates of midpoint.

We can calculate the coordinates of midpoint by Midpoint formula

[tex]=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex],

Endpoints of AB are A(-8,5) and B(0,7)

[tex](x_1,y_1)=(-8,5) and (y_1,y_2)=(0,7)[/tex]

Put the value of x and y in the above formula we get

[tex]=(\frac{-8+0}{2}),(\frac{5+7}{2}\\ =(\frac{-8}{2}),(\frac{12}{2})\\ =(-4,6)[/tex]

To learn more about the Coordinates of midpoint here,

brainly.com/question/28575923

#SPJ1

In linear equation, 4/3  is the solution for equation .

What is linear equation?

-x + 3/7 = 2x - 25/7

On solving

- 7x + 3/7 = 14x - 25/7

- 7x + 3 = 14x - 25

14x + 7x = 25 + 3

21x = 28

x = 28/21 = 4/3

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

Answer:

Step-by-step explanation:

2(x+3)/3 + 3(x-6)/2=1-x

2x+6/3 + 3x-18/2=1-x

2(2x+6)/3 + 3(3x-18)=6-6x

4x+12+9x-54=6-6x

13x-49=6-6x

13x+6x=6+42

19x/19=48/19

x=49/19

Answer:

Step-by-step explanation:

6x^2 - x - 13 = 0

6 * -13 = -78.

So, to factor this we need 2 integers whose product is -78 and whose sum is -1.

There are no such integers so we can't solve this by factoring.

Hence , the 6th term of the sequence is 24

It is given that first term is 4 and nth term is a(n)  = a(n-1) + 4   ......(1)

Putting n = 6  in equation (2) , we get sixth term

  a(6) = 4(6-1) +4

  a(6) =   4(5) + 4

  a(6) =  20 + 4

   a(6) = 24

Learn more about AP here :

https://brainly.com/question/6561461

#SPJ9

Lets start with the basics. 12,765 books are in total. We need to take 398 from that. 12765 - 398 = 12367. That means x people returned the book to reach 12,479. 12,479 - 12367 = x. X = 112.

112

The domain of the function is x < 2 and it is discontinuous at x = 2

The domain of a function is the range of input values to the function.

Given that the above function f(x) = √[(x² + 1)/(2 - x)]

The domain of the function is the range of values of x that make the denominator greater than zero

So, the domain is √(2 - x) ≥ 0

2 - x ≥ 0

2 ≥ x

x ≤ 2

So, the function is valid for x < 2 and discontinuous at x = 2 since at x = 2, √(2 - x) = √(2 - 2) = 0

So, we see that the function is valid for x < 2 and discontinuous at x = 2

So, the domain of the function is x < 2 and it is discontinuous at x = 2

Learn more about domain of a function here:

https://brainly.com/question/10197594

#SPJ1

Answer:

y = - [tex]\frac{1}{6}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 3 ← is in slope- intercept form

with slope m = 6

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex] , then

y = - [tex]\frac{1}{6}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (- 6, 4 ) into the partial equation

4 = 1 + c ⇒ c = 4 - 1 = 3

y = - [tex]\frac{1}{6}[/tex] x + 3 ← equation of perpendicular line

The equation of the line in slope-intercept form passing through the point (1 , -1) and parallel to y = (2/5)x - 3 is y = (2/5)x - 7/5.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

If the line is parallel to y = (2/5)x - 3, then their slopes are equal.

y = (2/5)x - 3 : m = 2/5

m = 2/5

Substitute the values of the slope and the point to solve for the y-intercept, b.

y = mx + b

-1 = 2/5(1) + b

b = -7/5

Write the equation of the line by plugging in the value of the slope and y-intercept.

y = mx + b

y = (2/5)x - 7/5

To learn more about equation of the line in slope-intercept form: brainly.com/question/1884491

#SPJ4

Answer:

yes, because 3 X 28 is 84

Step-by-step explanation:

Answer:

B.

Fran's account balance > Zach's account balance

Step-by-step explanation:

f (7) =  -65 is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= -9 x-2

Put x = 7    ⇒   - 9  * 7  - 2

                ⇒   -63 - 2

                ⇒   -65

Therefore f (7) =  -65

Learn more about linear function

brainly.com/question/14695009

#SPJ4

The complete question is -

Evaluate each function for the given value of x , and write the input x and output f(x) as an ordered pair.

f(x)=-9 x-2 for x= 7

Answer: 38 pounds

Step-by-step explanation: School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Using linear equations, Sandi and Felipe have raised the same amount of money after 4 miles.

We can calculate using linear equations

Formulate based on the criteria stated: 30 +2.5 x x = 20 + 5 × x

Unknown terms should be moved to the left side of the equation:

2.5x-5x= 20-30

combining similar terms

-2.5x = 20 - 30

Determine the total or difference: 2.5x = -10

Subtract the coefficient of the variable from both sides of the equation: = -10 ÷ (−2.5)

Take the parenthesis out: 10 ÷ 2.5 =

Determine the quotient or product:

x = 4

find the outcome: = 4

Response: x = 4.

To learn more about linear equations from given link

https://brainly.com/question/2030026

#SPJ1

I used the Algebraic Method to solve the questions

The First functions are inverses but the Second set aren't

Height of the volcano = 729

The elevation angle to the peak of the volcano is 23 degrees.

The surveyor goes 750 feet closer to the volcano, and the angle of elevation now equals 37 degrees.

It forms an ABC triangle.

Point A = the volcano's summit

Point B is the volcano's lowest point.

Point C = height of 23 degrees to the volcano

Point D = going 750 towards the volcano and establishing a 37-degree elevation angle

BD = ?

DC = 750

Tan 23 degrees AB/BC

Tan 23 degrees AB = BC

Tan 37 degrees AB/BD

Tan 37 degrees = AB

23 degrees BC Tan 37 degrees BD Tan

(BD +750)

BD (.7536-.4245) = 318.356

BD = 967.35

Height of the volcano = 729

To  learn more about Angle of elevation from the given link:

https://brainly.com/question/21137209

#SPJ9

Answer:

Step-by-step explanation:

Let the amount of gas be x gallons.

The product of gallons and MPG gives us the number of miles, show this as equation and solve for x:

Answer:

+ 10

Step-by-step explanation:

Answer:

The first one is the answer

Step-by-step explanation:

A right triangle with a right angle and two sharp angles that are congruent to one another is known as an isosceles right triangle.

A right triangle with a right angle and two sharp angles that are congruent to one another is known as an isosceles right triangle. A right triangle that is also isosceles is known as an isosceles triangle. It therefore has two sides that are identical and one right angle.

A right triangle with two equal-length legs is called an isosceles right triangle. The corresponding angles would also be congruent because the lengths of the two legs of the right triangle are equal. As a result, the two acute angles and two legs of an isosceles right triangle are congruent.  

Constructing triangles will consist of the development of various triangles the use of a protractor, a compass and a ruler.

Construction of triangles is straightforward while the measurements are given to us primarily based totally on extraordinary homes which include SSS, SAS and ASA.

To learn more about Isosceles Right Triangle refer to;

https://brainly.com/question/18452950

#SPJ4

Cola need 50 miles to drive to complete his trip.

Option A is true.

What is Distance?

The total movement of an object without any regard to direction is called distance.

Given that;

Cole is taking a 170-mile trip by car.

He drive for 2 hours with an average speed of 60 miles per hour.

Now, Distance cover in 2 hours with speed 60 miles per hour is calculated as;

Since, Distance = Speed x time

Hence, Distance = 60 x 2 = 120 miles.

So, Remaining speed to complete his trip = 170 - 120 = 50 miles.

Hence, Cola need 50 miles to drive to complete his trip.

Learn more about the distance visit:

https://brainly.com/question/71956

#SPJ1

After evaluating the expression for x=0, the equation (x-4)+12 = 8

⇒ ((0)-4)+12

⇒ -4 + 12

⇒ 8

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4

Answer:

6.8Equils5 so the awnser is sas

By substitution, the solution of the system of equations, t = 2r + 3 and 5r - 4t = 6, is (r , t) = (-6 , -9).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in r and t,

t = 2r + 3     (equation 1)

5r - 4t = 6     (equation 2)

Since the first equation is already expressed in variable t in terms of r, substitute the value of t to the second equation.

5r - 4t = 6     (equation 2)

5r -4(2r + 3) =6

5r - 8r - 12 = 6

Combining all terms containing the variable r on one side and the constants on the other side of the equality, and solving for r.

5r - 8r - 12 = 6

5r - 8r = 6 + 12

-3r = 18

r = -6

Substitute the value of r in the first equation and solve for t.

t = 2r + 3     (equation 1)

t = 2(-6) + 3

t = -12 + 3

t = -9

Hence, the solution of the given system of equations is (r , t) = (-6 , -9).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4

The hypothesis is the phrase following the word if = " The hypothesis is: You have a driver's license."

The conclusion is the phrase following the word then = " The conclusion is: You are at least 16 years old."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

Learn more about hypothesis

https://brainly.com/question/10854125

#SPJ4

Answer:

860.7 m³ (nearest tenth).

Step-by-step explanation:

The given composite figure appears to be a rectangular prism with a cylinder omitted.

Volume of a rectangular prism

[tex]V=w\:h\:l[/tex]

where:

Volume of a cylinder

[tex]V=\pi r^2 h[/tex]

where:

Therefore, the formula for the volume of the composite figure is:

[tex]\large\boxed{V=whl- \pi r^2h}[/tex]

From inspection of the given diagram:

Substitute these values into the formula to find the volume of the composite figure:

[tex]\begin{aligned}\implies V&=whl - \pi r^2h\\& = 10 \cdot 12 \cdot 10- \pi \cdot 3^2 \cdot 12\\& = 120 \cdot 10- \pi \cdot 9 \cdot 12\\& = 1200- 108 \pi\\& = 1200 - 339.292006...\\& = 860.7\; \sf m^3\;(nearest\:tenth)\end{aligned}[/tex]

Therefore, the volume of the composite figure is 860.7 m³ (nearest tenth).

Answer:

$9.9

Step-by-step explanation:

4 = $2.64

15= ?

15 × $2.64 = 39.6

39.6 ÷ 4 = $9.9

The number of apples that were bought by Joanna is 6 pounds.

Let p = the number of pounds of apples Joanna bought.

Let o = oranges

Therefore, the equation will be:

1.49p + 8o = 23.26

1.49p + 1.79 × 8 = 23.26

1.49p + 14.32 = 23.26

1.49p = 23.26 - 14.32

1.49p = 8.94

p = 8.94/1.49

p = 6

No. Joanna didn't buy a total of 5 pounds of apples at the farmers market.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The answer is 495

Step-by-step explanation:

If you need to add 5 more push-ups every day and find the total it would be 20+25+30+35+40+45+50+55+60+65+70=495