A line passes through the points (-2,8) and (5,-20)

An equation that shows what the cost of renting a car will be: C=R+mc.

Let the rental cost = R

consider m to be the number of miles driven= m

let c be the cost per mile

And C is the total cost of renting;

Then C = R+mc

the given equation $40 + $0. 10 per mile

Now, in the above equation consider:

R =$40 ( the rental cost)

c = $0.10 ( the cost per mile)

The total cost is C = $40+$0.10m

Ex:

if m is known assume m=1000 miles

Then the total cost C = $40+($0.10/mile)(1000miles)

then  C = $40+$100=$140

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Answer:

(n - 6)(n -4)

Step-by-step explanation:

Find two numbers that add to - 10 and multiply to +24.
In this case, -6 * -4 satisfies these requirements.

When the root of x²-bx+c = 0 is decreased by 2, the resulting equation is x²-2x+1, then b = 2 and c = 1

The values of variables satisfying the given quadratic equation are called its roots.

if the roots of a quadratic equation ax²+bx+c = 0 are alpha and beta

alpha + beta = -b/a and

alpha × beta = c/a

when the roots are reduced by 2

alpha-2+ beta-2 = -b/a

(alpha+beta)-4 = -b/a

alpha+ Bata = -b/a + 4

the resulting equation is x²-2x+1 = 0

a = 1, b = -2 and c = 1

therefore alpha +beta = -b/a = -(-2)/1 = 2

therefore 2 = -b/a+4

a = 1

2 = -b+4

b = 4-2 = 2

alpha×beta = c/a = 1/1

(alpha -2)× ( beta -2) = (alpha)( beta) -2(alpha+beta) + 4 = 1-2(2)+4 = 1

therefore b = 2 , c = 1

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The average monthly salary of all the staff is going to be 19,333.34 ₹.

Average is the value obtained by dividing the sum total of a set of figures by the number of figures. In this question, we have to find the average monthly salary of all the staff taken together,

So the sum total of the set of figures here will be (20,000 × no. of males + 18,000 × no. of males) ₹ and the number of figures here will be no. of males + no. of females. It's given that

No. of males=10

No. of females=5

So, the total no. of figures = 15

Sum total of  set of figures = (20,000 × 10 + 18,000 × 5 )₹ and the average will be

=(20,000 × 10 + 18,000 × 5) ₹/15

=(200,000+90,000)/15₹

=290,000/15 ₹

=19,333.34 ₹

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It will take 13 weeks to gather funds that sum up to $4500.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given: I have $2485 and I save $155 weekly

Thus amount left to be gathered is $4500-$2485=2015

If I save $155 weekly then we get = $2015/$155

                                                        =13 weeks

Hence, It will take 13 weeks to gather funds that sum up to $4500.

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The three sides of a triangle are referred to as the base, the height, and the hypotenuse.

The base and height of a triangle can be used to calculate the area of the triangle using the formula:

Area = (Base x Height) / 2

To calculate the hypotenuse of a triangle, the Pythagorean Theorem is used. The theorem states that the sum of the squares of the lengths of the two sides of a right triangle is equal to the square of the length of the hypotenuse.

The formula for the Pythagorean Theorem is:

a2 + b2 = c2

where a and b are the two sides of the triangle and c is the hypotenuse.

To calculate the hypotenuse of a triangle, the following steps are taken:

1. Measure the length of each side of the triangle.

2. Square the length of each side (multiply the length by itself).

3. Add the two values together.

4. Find the square root of the sum. This is the length of the hypotenuse.

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The candies left for Kyla were 10 based on the amount given to her sister and friend from total 20 candies.

Firstly we will calculate the remaining candies from twenty after giving to her sister. Next calculation will be the final answer representing candies left for Kyla herself.

Remaining candies = total number of candies - 1/5×total candies

Keep the values in formula

Remaining candies = 20 - 1/5×20

Remaining candies = 20 - 4

Remaining candies = 16

Total candies for Kyla = remaining candies - 3/8×remaining candies

Candies for Kyla = 16 - 3/8×16

Candies for Kyla = 16 - 3×2

Candies for Kyla = 16 - 6

Candies for Kyla = 10

Thus, Kyla received 10 candies.

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The explicit formula for the sequence -28, -31, -34, -37, ..., is aₙ= -28 -3d.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

-28, -31, -34, -37, ...

The general formula of an arithmetic sequence:

aₙ= a₁ + (n)d,

where a₁ is the first term and d is the common difference.

First, we will find the common difference between consecutive terms.

Here,

a₁ = -28

To find the common difference:

a₂ - a₁ = -31 + 28 = -3

a₃ - a₂ = -34 + 31 = 3

a₄ - a₃ = -37 + 34 = 3

Hence, d = -3.

Substitute the values to the formula,

aₙ= a₁ + (n)d,

aₙ= -28 + (-3)d,

aₙ= -28 -3d

Therefore, aₙ= -28 -3d is the required sequence.

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The ratio of days in May and days in a year is 31 to 365 or 31:365

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We need to find the days in May and days in a year as a ratio

Therefore, Days in may = 31

Days in a year = 365

Thus, the expected ratio = 31/365

Or

31:365

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Given the function p(x)=6x+2, p(-2) is -10 while p(4) is 26, this shows that value of p(-2) is smaller than the value of p(4). The correct option is B.

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). It is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

p(x)=6x+2

for p(-2)

p(-2) = 6(-2) + 2

p(-2) = -12 + 2

p(-2) = -10

for p(4)

p(4) = 6(4) + 2

p(4) = 24 + 2

p(4) = 26

p(-2) < p(4)

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Answer:

(B) "The value of p(-2) is smaller then the value of p(4)" is True

Step-by-step explanation:

p(x)=6x+2

p(-2) = 6*(-2)+2

p(-2) = -12+2

p(-2) = -10

p(4) = 6*(4)+2

p(4) = 26

====

p(-2) = -10

p(4) = 26

===

(A) The value of p(-2) is larger then the value of p(4).   False

(B) The value of p(-2) is smaller then the value of p(4).  True

(C) The value of p(-2) is the same as the value of p(4).  False

(D) The values of p(-2) and p(4) cannot be compared.   False

Answer: B

Step-by-step explanation:

B) 180−m180-m180−m

Answer:

For the first line its distributive property
The 2nd is combining like terms

4th is simplifying it

Im not sure about the last one since its just the answer of the problem

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think it would be D hope this helps!

The best definition of a decimal is decimals are whole counting numbers.

Suppose that the number is abcdefg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

Thus, we write abcd.efg as:

[tex]a \times 10^3 + b \times 10^2 + c \times 10^1 + d \times 10^{0} + e \times 10^{-1} + f \times 10^{-2} + g \times 10^{-3}[/tex]

We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.

We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.

Therefore, the definition will be Decimals are whole counting numbers,

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Answer:

perimeter= 9+9π cm

area= 40.5-10.125π cm²

Step-by-step explanation:

area of the square =9x9=81cm²

area of the two semicircles which have the same diameter =area of one circle

= (9÷2)²π =(81÷4)π

area of the whole shaded part = 81- (81÷4)π cm²

the area of each shaded part= (81-(81÷4)π)÷2

= 40.5-10.125π cm²

circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm

then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm

perimeter of each shaded part = (18+18π)÷2=

9+9π cm

The resultant output of  the given question is 7 by 2 is 14.

This is because 7 multiplied by 2 is equal to 14

When you multiply two numbers, the result is the product of the two numbers. In this case, 7 multiplied by 2 is equal to 14.

Mathematicians use the process of multiplication to calculate the product of two or more given numbers. It is a fundamental mathematical operation in maths that is frequently utilised in everyday life. When we need to combine groups of similar sizes or values , we utilise multiplication.

Hence the correct answer to the given question is 14 .

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Answer:

Step-by-step explanation:

We will check if 5/15 and 1/3 are in proportion or not by cross-multiplication.

5/15 = 1/3

5*3 = 15*1

15 = 15

as the left-hand side is equal to the right side. So, these fractions are in proportion.

The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Answer:22 days

Step-by-step explanation: since 6days are each given 5ml spoons of medicine three times a day,

Therefore consumption of each day is 90 ml and we have 2000 ml(2litre=2000 ml)

so, 2000/90 = we will get number of days

therefore 22.22 days

Which emplies 22 days.

The waterfall model has equivalent flexibility to other approaches. suitable for conventional project management tools and methods.

The waterfall model of the software development life cycle is the greatest technique for creating systems.

This includes the following elements:

1. The requirements phase, which takes into account the needs needed to build the product

2. The product's design is created

3. The programmers who wrote the code to put the product into action built the product.

4. The product is examined and all flaws are fixed to ensure that it responds correctly to inputs.

5. The systems are periodically maintained to ensure continued operation and proper output

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The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

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Rotation of PQRS by 90 degree.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?

Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

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Answer:

9978

Step-by-step explanation:

10000 - 22 = 9978

9978 is the answer

Answer: 9978

Step-by-step explanation:

Stack the numbers up like this 10000

                                                          22

     borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense

Answer:

1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4

Step-by-step explanation:

Answer:

y = -x + 5

Step-by-step explanation:

The equation is y= mx + b

m = the slope or rise/run or (y2 - y1) / (x2 - x1)

b = y-intercept

The slope here is -1, and the y-intercept is 5, so our equation is

y = -x + 5

On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

so, we apply permutation

P(12,4) = 12!/ 8! = 11880

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share of rimmy and simmi is rs15000 and rs25000.

this question is of ratio and proportion, and the solution is as follows,

total amount = rs 40000

Rimmy and Simmi in the ratio = 3:5

sum of shares= 3+ 5 = 8.

so,

share of Rimmy is = 3/8 X 40000

= 120000/8

= 15000

share of simmi is = 5/8 X 40000

= 200000/8

= 25000

so the share of rimmy and simmi is rs15000 and rs25000.

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The expected time until the tourist arrives in the city is 4.75 hours.

The expected time until the tourist arrives at the city can be calculated by using the formula for the expected value:

Expected value = (probability of outcome 1) x (value of outcome 1) + (probability of outcome 2) x (value of outcome 2) + ...

In this case, there are two possible outcomes: the tourist takes road A or road B.

If the tourist takes road A, the expected time until he arrives in the city is the average of the two possible travel times (4 hours and 8 hours). The probability of this outcome is 0.5 (the tourist has an equal chance of choosing either road). So, the expected value for this outcome is (0.5) x (4 + 8)/2 = 6 hours.

If the tourist takes road B, the expected time until he arrives in the city is 7 hours. The probability of this outcome is also 0.5. So, the expected value for this outcome is (0.5) x 7 = 3.5 hours.

To find the overall expected time until the tourist arrives in the city, we add up the expected values for each outcome:

Expected time = (0.5) x 6 + (0.5) x 3.5 = 4.75 hours

So the expected time until the tourist arrives in the city is 4.75 hours.

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Following are three steps 1. Isolate the variable: First, identify the variable you are trying to solve for and use the other terms in the equation to isolate that variable. This means using inverse operations to move any terms containing the variable to one side of the equation and any terms without the variable to the other side of the equation.

2. Simplify the equation: Once the variable is isolated, use the properties of equality and inverse operations to simplify the equation, if needed.

3. Solve the equation: Finally, use the inverse operations to solve the equation and find the value of the variable.

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The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

8.5x + 0.5 + 3.5x - 2x

The given expression is -

8.5x + 0.5 + 3.5x - 2x

(8.5x + 3.5x - 2x) + 0.5

12x - 2x + 0.5

10x + 0.5

Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

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