what would be the cost of renting 2 lawn mowers for 5 hours?

Answer:

Final answer: P=(1,5)

Step-by-step explanation:

The line APB is a line such that AP/PB= 1/3. From the points A and B that we have we can find the distance between those points using the formula d= [(y2-y1)^2=(x2-x1)^2]^1/2

d= 4 (13)^(1/2)

Now the ratio is 1:3. AP= sq rt(13) and PB= 3 sq rt(13)

Using mid point formula the mid point of AB (say Q) = [(-1+7)/2,(2+14)/2]= (3,8).

Hence the mid point of AQ is P which can found out again using the mid point formula

P= [(-1+3)/2,(2+8)/2]= (1,5)

The algebraic equation of the verbal statement is (x + 2) / 5 = 8 and the value of x is 38.

Algebraic Equation

An algebraic equation means the statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Given,

The quotient of two more than a number and five is eight.

Here we  need to translate the given verbal statement into an algebraic expression and solve it.

The quotient of two more than a number and five is eight.

Let, the number be x.

According to the question, the equation is

=> (x + 2) / 5 =8

=> x + 2 = 8 x 5

=> x + 2 = 40

=> x = 40 - 2

=> x = 38

To know more about Algebraic Equation here:

https://brainly.com/question/953809

#SPJ4

Answer:

3x^3-11y^2

Step-by-step explanation:

17x^3 -11y^2 -14x^3

collect like terms

17x^3 -14x^3 =3x^3

3x^3-11y^2

I hope it helps.

The value of the expression 91 - [ 22 { 16 divided (39 + 3 of 3 - 40 )} ] is 47 by using PEMDAS.

We are given an expression as:

91 - [ 22 { 16 divided (39 + 3 of 3 - 40 )} ]

By the PEMDAS rule, the expression will be:

= 91 - [ 22 {16 ÷ (39 + 9 - 40 ]

= 91 - [ 22 {16 ÷ (8) ]

= 91 - [ 22 {16 ÷ 8} ]

91 - [ 22 {2} ]

= 91 -[ 22 × 2 ]

= 91 - [ 44 ]

= 91 - 44

= 47

Therefore, the value of the expression 91 - [ 22 { 16 divided (39 + 3 of 3 - 40 )} ] is 47 by using PEMDAS.

Learn more about PEMDAS rule here:

https://brainly.com/question/345677

#SPJ9

The coordinates of A'' will be ( -2, 5).

We are given that:

Quadrilateral ABCD is reflected across the x - axis.

We know that, when a refection is done about x-axis, the values of the abscissa x remain identical & the value of ordinate  just change their signs:

A(-5,-3) will become A'(-5,+3)

B(-6,-1) will become B'(-6,+1)

C(-3,-1) will become C'(-3,+1)

D(-2,-3) will become D'(-2,+3)

Now, the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D".

So, the coordinates of A'' will become:

( - 5 + 3, 3 + 2)

( -2, 5)

Therefore, we get that, the coordinates of A'' will be ( -2, 5).

Learn more about coordinate here:

https://brainly.com/question/12959377

#SPJ9

Answer:

A: (-10, 2)

B: (-5, 2)

C: (-5, 7)

D: (-10, 7)

Step-by-step explanation:

When you reflect over the x axis, you flip the y value, so that what I did.

Answer:

6 miles per hour!

Step-by-step explanation:

Answer:

it 9/ 8

Step-by-step explanation:

2/4× 9/4

18/16

9/8

He have to pay $3.25.

Let the number of miles traveled by a driver be x

The toll paid by the driver is then represented as y. (in dollar)

Linear equation : an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.

Since there is a linear relation between the two, we can assume the equation can be written as:

y = mx + c

From the given data, we get

0.24 = m(0) + c

c = 0.25

Using the second point:

1 = m(1) + 0.25

m = 1 − 0.25 = 0.75

Hence, the equation is y = 0.75x + 0.25.

If  x = 4, then:

y = 0.75 × 4 + 0.25

y = 5.50

Hence, He have to pay $3.25.

Learn more about linear equations from here : brainly.com/question/28450464

#SPJ4

Answer:

31.5

Because if you Subtract 21 from 84 you get 63
then if you divide 63 by 2 you get 31.5 so your Answer would be 31.5.

probability of picking a yellow ball: 10/20 (1/2)

probability of picking a red ball: 6/20 (3/10)

1/2 times 3/10 =

3/20

The multiplication of 6 × 43 by applying the distributive property of multiplication will be 258.

The general mathematical operation of multiplying two or more numbers to get a new multiplied number.

If both values are more than or less than one, the resultant multiplication will be greater or smaller than the numbers that will be multiplied.

For reference 4 × 3 = 12 and 4 × 0.5 = 2.

Given the multiplication,

6 × 43

⇒ 6 × (40 + 3)

By applying the distributive property of multiplication,

⇒ 6 × 40 + 6 × 3

⇒ 240 + 18

⇒ 258

Hence "The multiplication of 6 × 43 by applying the distributive property of multiplication will be 258.".

For more information about multiplication,

brainly.com/question/14059007

#SPJ1

The value of x that makes the lines m and n to be parallel lines is 45 degrees

The figure that completes the question is added as an attachment

From the figure, we have the following angles

Angle = x and 3x

The angles are interior of parallel lines

This means that they add up to 180 degrees

So, we have the following equation

Angle 1 + Angle 2 = 180 degrees

Substitute the known values in the above equation

So, we have

x + 3x = 180

Evaluate the like terms in the above equation

So, we have:

4x = 180

Divide both sides of the above equation by 4

So, we have

x = 45

Hence, the value of x that makes the lines m and n to be parallel lines is 45 degrees

Read more about parallel lines at

https://brainly.com/question/17426914

#SPJ1

Equation are defined by equating two or more expressions. The solution to the system of equation is (k, (1+5k)/2)

System of equations are equations are equations that contains several variables and expression.

Given the system of equations

5x - 2y = -1

-15x + 6y = 3

Divide equation 2 through by -3 to have:

-15x/-3 + 6y/-3 = 3/-3

5x  - 2y = -1

You can see that both equations are equal. Let x = k so that;

5k - 2y = -1

-2y = -1 - 5k

2y = 1 + 5k

y = (1+5k)/2

Hence the solution to the system of equation is (k, (1+5k)/2)

Learn more on system of equations here: https://brainly.com/question/25976025

#SPJ1

The weight average of the coordinates is 1

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-2 * 3 + 5 * 1 + 6 * 1)/(3 + 1 + 1)

Evaluate the quotient

Weight average = 1

Hence, the weight average of the coordinates is 1

Read more about average at

brainly.com/question/20118982

#SPJ1

Step-by-step explanation:

so, this is a multiplication ?

6 3/4 × (-11.5)

let's bring the mixed numbers to full fractions, and then we can easily multiply.

6 3/4 = (6×4 + 3)/4 = (24 + 3)/4 = 27/4

-11.5 = -11 1/2 = (-11×2 - 1)/2 = (-22 - 1)/2 = -23/2

so, the multiplication is

27/4 × -23/2 = 27×-23 / 4×2 = -621/8 =

= (-616 - 5)/8 = (-77×8 - 5)/8 = -77 5/8

Answer:

-77 5/8

Step-by-step explanation:

6 3/4 can be turned into 6.75.

6.75 * -11.5 is -77.625

-77.625 can be simplified into 5/8

Brainliest pls?

$26.8 is the total cost and Chicken Fajita Taco is the most

expensive meal .

What in mathematics is a linear equation?

Hamburger + Bacon Cheeseburger  + Chicken Fajita Taco + French Fries, Small + French Fries, Large + Onion Rings + Cole Slaw + Soft Drink, Small + Soft Drink, Large + Milkshake + Juice

=  $3.25 + $4.75 +  $3.50 +  $1.55 + $1.90 + $2.40 + $1.45 +  $1.30 + $1.65 +  $3.25 + $1.80

= $26.8

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

Answer:

I think it's 2(x+7).

Step-by-step explanation:

This is distributive function where a number is multiplied from outer value to inner parenthesis values.

I hope this is the right answer.

Answer:

41

Step-by-step explanation:

5y+x

Evaluate the expression

Let x=6 and y=7

5*7 +6

Multiply first

35 +6

Then add

41

Answer:

it 41

Step-by-step explanation:5(7)+6=41

Step-by-step explanation:

Solving steps

(2x-6)×(x-2)

Multiply

2x×x-2x×2-6x-6x 2

Calculate Multiply

2x²-4x-6x+12

Collect like terms

Solution

2x²- 10x + 12

Answer: $9.30

Step-by-step explanation:

7.44/4 = 1.86

1.89 x 5 = $9.30

The solution of the simultaneous equations are x = 2, 3 and y = 3,9.

In mathematics; a set of simultaneous equations, also known as a system of equations or an equation system, it is a finite set of equations for which common solutions are sought.

WE have given simultaneous equations as;

y = x^2    ...(i)

y = x + 6  .....(ii)

Now Equating (i) and (ii) we get,

x^2 = x + 6

or, x^2 - x - 6 = 0

Then Solving we get;

x^2 - 3x - 2x - 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 2)(x - 3) = 0

So, x = 2, 3

Now Putting x = 2, 3 in equation (i) we get;

y = 2^2

y = 4

and,

y = 3^2

y = 9

Thus, y = 3,9

Hence the solution of the simultaneous equations are x = 2, 3 and y = 3,9.

To learn more about simultaneous equations :

brainly.com/question/16763389

#SPJ1

Answer:

Step-by-step explanation:

First of all it has to drop 15 degrees to get to 0.

We have another three degrees to go.

15 - - 3 = 18

The temperature change was 18 degrees from midnight to morning.

A location that is 30 degrees north and 45 degrees west is west of the prime meridian and north of the equator.

A prime meridian refers to an arbitrary meridian which is there in a geographic coordinate system. Here, the longitude is defined as 0°.

A prime meridian and its anti-meridian will together form a great circle in a geographic coordinate system.

The Equator is a circle of latitude, about 40,075 km in circumference, that divides Earth into the Northern and Southern hemispheres.

It is an imaginary line that is located at 0 degrees latitude, and is a halfway between the North and South poles.

Therefore, we get that a location that is 30 degrees north and 45 degrees west is west of the prime meridian and north of the equator.

Learn more about degrees here:

https://brainly.com/question/25716982

#SPJ4

Answer: 59,003

Step-by-step explanation:

8,429 x 7=

8,429 x (5+2)=

8,429 x 5 + 8,429 x 2=

4,214.5*10+16,858=                  ==> n*5=n/2 * 10

42,145+16,858=59,003

The price per yard of the ribbon is $6.69

First, we will need to convert  9 foot to yards as shown;

9 foot = 3 yards

This shows that a 3 yard piece of ribbon costs $20.07, the price per yard is expressed as;

Price per yard = 20.07/Total yard

Price per yard = 20.07/3

Price per yard = 6.69

Hence the price per yard of the ribbon is $6.69

Learn more on unit rate here; https://brainly.com/question/19493296

#SPJ1

the exponential form of the complex number \[ e^{17\pi i/60} e^{27\pi i/60} e^{37\pi i /60} e^{47 \pi i /60} e^{57 \pi i/60}\]

= (2+[tex]\sqrt{3}[/tex]) [tex]e^3^7^\pi^ i^/^6^0.[/tex]

[tex]e^1^7^\pi ^i/^6^0[/tex] + [tex]e^2^7^\pi^ i^/^6^0[/tex]+⋯+[tex]e^5^7^\pi ^i^/^6^0[/tex]

=[tex]e^1^7^\pi ^i^/^6^0[/tex](1+[tex]e^\pi^ i^/^6[/tex]+....+[tex]e^4^\pi ^i^/^6[/tex])

=[tex]e^1^7^\pi ^i^/^6^0[/tex] (1−[tex]e^5^\pi ^i^/^6[/tex]) ÷ (1−[tex]e^\pi ^i^/^6[/tex])

=[tex]e^1^7^\pi ^i/^6^0[/tex] ([tex]\frac{1}{2}[/tex](2+[tex]\sqrt{3}[/tex]) + [tex]\frac{1}{2}[/tex](3+2[tex]\sqrt{3}[/tex])i)

=(2+[tex]\sqrt{3}[/tex])e17πi/60(12+([tex]\sqrt{3}[/tex]/ [tex]2[/tex]) i )

=(2+[tex]\sqrt{3}[/tex])[tex]e^1^7^\pi ^i^/^6^0[/tex] [tex]e^\pi ^i^/^3[/tex]

=(2+[tex]\sqrt{3}[/tex]) [tex]e^3^7^\pi^ i^/^6^0.[/tex]

To learn more about exponential form, refer

https://brainly.com/question/19864744

#SPJ4

The value of csc x=-13/5.

Given that the sin x=-5/13 and x∈[3π/2 , 2π).

A trigonometric function is a real function that relates the angle of a right triangle to the ratio of the lengths of the two sides. The basic functions are sin, cos, tan, cot, sec, csc.

The given function is sin x=-5/13.

As we all know that sin x=1/csc x or csc x=1/sin x.

As it is given that x∈[3π/2 , 2π) that means x lies in fourth quadrant and in fourth quadrant sin and csc is negative in it.

So, we will apply this identity csc x=1/sin x, we get

csc x=1/(-5/13)

csc x=-13/5

And it also lies in x∈[3π/2 , 2π).

Hence, the value of csc x when sin x=-5/13 and x∈[3π/2 , 2π) is csc x=-13/5.

Learn more about the trigonometry function from here brainly.com/question/26221138

#SPJ9

Yes, it is true that if "x" is an optimal solution to a linear programming problem, then it is a vertex of the feasible region.

To learn more about linear programming, visit :

https://brainly.com/question/15417573

#SPJ4

The shape 1 and shape 2 are congruent pentagons becuase shape 2 is a reflection of shape 1.

Given that shape 1 and shape 2 are congruent pentagons.

We are required to choose the option which is correct according to the given statemment that shape 1 and shape 2 are congruent pentagons.

Pentagons are the shape which have 5 sides and 5 angles.

Two shapes are congruent if they are copy of each other means all the corresponding sides are equal to each other.

The shape 1 and shape 2 are congruent pentagons becuase shape 2 is a reflection of shape 1.

Hence the shape 1 and shape 2 are congruent pentagons becuase shape 2 is a reflection of shape 1.

Learn more about pentagons at https://brainly.com/question/858867

#SPJ9