let d be a positive integer. show that among any group of d 1 (not necessarily consecutive) integers there are two with exactly the same remainder when they are divided by d.

Answer:

- 7/9

Step-by-step explanation:

In the pair of numbers 64,4 and 16,2 the first number is a multiple of the second number.

A multiple in math are the numbers you get when you multiply a certain number by an integer.

Check whether the first number is a multiple of the second number

A) In the pair 64,4

64=16×4, yes 64 is multiple of 4

B) In the pair 29,3

Here, 29 is prime number

No, 29 is not a multiple of 3

C) In the pair 16,2

16=8×2, yes 16 is multiple of 2

D) In the pair 42,8

Here, 42=2×3×7 and 8=2×2×2

No, 42 is not multiple of 8

E) In the pair 31,7

Here, 31 is prime number

No, 31 is not a multiple of 7

Therefore, in the pair of 64,4 and 16,2 the first number is a multiple of the second number.

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Answer:

--------------------------------

Given expression:

Simplify it in below steps:

Answer:

4+(8×3x)+(8×(-2))-7x

4+24x-16-7x

4-16+24x-7x

-12+17x

or 17x-12

The number of terms in the algebraic expression is 3 terms.

An algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Coefficient refees to a constant by which an algebraic term is multiplied.

Constant is a quantity that remains at a fixed value throughout a given discussion.

x + 3 + 7x

Thr terms are;

x;

3;

7x

Therefore, the algebraic expression has Coefficient, constant, and like terms.

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The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

An expression in maths, a statement involving at least two different numbers (known or unknown) and at least one operation.

Given an expression, -3x²-24x-36;

Factorizing, we get,

-3x²-24x-36 = -3(x²+8x+12)

= -3(x²+6x+2x+12)

= -3[x(x+6)+2(x+6)]

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

Hence, The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

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Answer: y=7/4x-2

Step-by-step explanation:

I find the slope first, using 5--2/4-0. This is 7/4. I then plug it into point-slope form, which is y--2=7/4(x-0). Simplifying get y=7/4x-2.

Answer:

224

Step-by-step explanation:

28x8=224

Answer: 224 flowers

Step-by-step explanation:

8*28=224

Answer:

The area of the Plexiglas is given by the formula for the area of a rectangle, which is A = L * W, where L is the length and W is the width of the rectangle. In this case, the width is 5 centimeters shorter than the length, so we can represent it as W = L - 5. Substituting this expression for the width into the formula for the area, we get:

A = L * (L - 5)

This expression represents the area of the Plexiglas in terms of its length.

The linear approximation found to estimate ln(0.97) is 9.1%.

The definition of a linear approximation of a function is simply utilising a line to approximate the value of the function at a point. We recall the idea of the tangent line as soon as we see a curve (of a function) and a point on it. The value of the function at any point that is very close to the provided point can be roughly determined using the equation of the tangent line if the equation of the tangent line is found at the supplied point.

The given function is f(x) = ln(x).

We start by finding the equation of the tangent line at x=1 to the graph of y=lnx.

f(1)=ln(1)=0

We know the derivative of f(x) will be f'(x)=1/x

f'(1)=1/1=1

Therefore, the equation of the tangent is:y−y1=m(x−x1)

y−0=1(x−1)

y=x−1

An approximation for ln(1.19) would be y=1.19−1=0.19

The actual value, obtained using a calculator, would be 0.174. This means the percent error is (0.19−0.174)/0.174 ×100

= 9.1%

Therefore, the linear approximation found to estimate ln(0.97) is 9.1%.

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The coordinates of C are (-6, -4) if B is the midpoint of AC and the coordinates of A and B are (2, 8) and (-2, 2).

The midpoint of the line segment is what the term "midpoint theorem" in coordinate geometry refers to. You can determine it by averaging the coordinates of the specified endpoints, which defines the coordinate locations of the line segment's midway. In order to get the intersection of the two provided points, the midpoint formula is employed.

Given,

B is the midpoint of AC.

The coordinates of A are (2, 8)

The coordinates of B are (-2, 2)

Here,

We have to find the coordinates of C

We need check the options of C and find the midpoint of A and C

If we get the midpoint same as the coordinates of BC

Then our answer is correct.

First we have to check option A:

A(2, 8) and C(-6, -4)

Midpoint of B(x, y)=((x₁+x₂)/2  , (y₁+y₂)/2)

B(x, y)=((2-6)/2 ,  (8-4)/2)

=(-2, 2)

So, the coordinates of B are (-2, 2)

So, our choice is correct.

Therefore, the coordinates of C are (-6, -4)

Hence, option A is correct.

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Answer:

Step-by-step explanation:

The required equation would be y = 48x which describes the relationship between distance and time, where x is for the time in hours and y is for the distance in miles.

Car X travels 144 miles in 3 hours.

X represents the time in hours and y represents the distance in miles.

Move 3 units to the right of the origin using the slope and

144 unit(s) up to locate the spot

(3,144), which may be used to plot the connection.

Let the required linear equation be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 0

x₂ = 3, y₂ = 144

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 0 = (144 - 0)/(3 -0 )[x -0]

⇒ y = (144/3)x

⇒ y = 48x

Answer:

the answer for slope is -1

Answer:

(4,5)

Step-by-step explanation:

Barry will post all of his parcels separately at £17.84

The information in the table have the amount to post certain weights of the parcel. This will be used to ascertain how much to send Barry's parcel

Barry's parcel will contains (starting from the least)

weight of parcel                    cost of posting as from the table

less than 1 kg (1kg to 5kg)      £2.04

0.245 kg (1kg to 5kg)             £2.04

2.7 kg (1kg to 5kg)                  £2.04

4.16 kg (1kg to 5kg)                £2.04

27.3 kg (More than 20kg)      £9.68

addition of the costs

= £2.04 * 4 + £9.68

= £17.84

hence the cost of sending the five parcels is £17.84

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Perpendicular lines intersect at 90° - definition of perpendicular.

Here is the two column proof:

     Statement                                        Reason                                              

Answer:

25,000 rent for 5 months

Step-by-step explanation:

The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.

60,000 / 12 = 5,000 rent per month

5,000 * 5 = 25,000 rent for 5 months

Answer:25,000 rent for 5 months

Step-by-step explanation:

The annual rent of a room in KTM is rs 60,000. Find the rent of 5 months.

60,000 / 12 = 5,000 rent per month

5,000 * 5 = 25,000 rent for 5 months

Step-by-step explanation:

-12 will be the term for y

Let us suppose that x= 0

then we will get

3y + 4 = x

and then it will be

3y+ 4 = 0

Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side

3y= -4

now,

3y = 1/4

y = 1/[4*3]

y=1/12

y= - 12

Hence the answer will be y= -12

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Answer:

[tex]90^{\circ}[/tex]

Step-by-step explanation:

A right angle measures [tex]90^{\circ}[/tex].

Answer:

14

Step-by-step explanation:

Since line MU = line MV, therefore line UV = 2 line MU.

Since line UL = line LT, therefore line UT = 2 line LT.

Now we know triangle MUL and triangle VUT are similar using SAS by a scale factor of 2. Since line TV is double the length of line ML.

Line TV 12*2 = 14.

Therefore line TV = 14.
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Answer: c

Step-by-step explanation:

A function cannot have repeated X value in a set

Therefore , the required inequality expression is 4.50x+1.75y ≤50

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

One cupcake costs $4.50,

So, “x” cupcakes cost = 4.50x.

One brownie cost $1.75,

so “y” brownies cost = 1.75y.

thus, the total 4.50x+1.75y  must be less or equal to $50.

Therefore , the required inequality expression is 4.50x+1.75y ≤50

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The volume of water in Tank C is 12800 ml.

Given that the group of students brought two tanks of water to clean the classroom.Tank A held 5,511 ml of water and Tank B held 7,275 ml of water and the water from both tanks was poured into Tank C which was empty.

It should be noted that the volume on tank C will be the addition of A and B volume. This will be calculated thus:

= Volume of A + Volume of B

= 5511 ml + 7275 ml

= 12786 ml

= 12800 ml to nearest hundred.

The volume is 12800 ml.

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Answer:

Welcome to Brainly! I saw that this was your very first question. I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

Here are 4 options available to choose from:

1) 45 = 3² x 5 (multiply the sum of 3 times 3 by 5)

2) (3 x 8 )+ (24 x 2) - 3 (multiply 8 times 3 and then 24 times 2 add expressions together then subtract 3 from sum of expressions)

3)  (9 x 9)- 36 = 45 (multiply 9 times 9 and subtract 36 from 81)

4) [tex]6^{2}[/tex] -9 (multiply 6 times 6 and subtract 9 from 36)

(Hope this helped you )

Answer:

When x has a value of 0, the equation -2x+3y=18 becomes 0+3y=18. Solving for y, we find that y=6.

When y has a value of 0, the equation -2x+3y=18 becomes -2x+0=18. Solving for x, we find that x=-9.

These solutions are called the x-intercept and the y-intercept, respectively, when they are graphed as part of the line -2x+3y=18. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. In this case, the x-intercept is (-9,0) and the y-intercept is (0,6). These points can be used to graph the line and to understand its slope and direction.

Step-by-step explanation:

Answer: 6, -9, ?

Step-by-step explanation:

When x has a value of zero:

-2x + 3y = 18

Substitute 0 into the value of x:

-2(0) + 3y = 18

We know that anything multiplied by 0 will always be zero, so you get:

3y = 18

Therefore, after dividing both sides by 3 to get y on its own, you get:

y = 6

When y has a value of zero:

-2x + 3y = 18

Substitute 0 into the value of y:

-2x + 3(0) = 18

We know that anything multiplied by 0 will always be zero, so you get:

-2x = 18

To get a positive number from a negative number x needs to be a negative number. Remember - and - makes +.

x = -9

Unfortunately, I am unable to answer the final part of the question, but hopefully what I've already written will spark a memory of something you learnt in class :)

Hoped this helped!

The total cost is 16 times greater than the number of hoodies, hence option A is correct.

What is the average cost of an item?

The average price of products and services is the average cost. The average of these numbers will provide the average cost price when we have a number of nearly identical things to sell or purchase. It facilitates the purchasing and selling procedure for store owners.

The average cost is calculated as the sum of all product costs divided by the total number of goods. The word "average" is also used in math. The term "mean of data" refers to the average of any given set of data. The average, however, is thought to be the appropriate term in corporate contexts where profit and loss are crucial elements.

Given that,

1 hoodie costs $16

2 hoodies cost $32

3 hoodies cost $48

4 hoodies cost $64

5 hoodies cost $80

Thus, the relation between total cost and the number of hoodies can be found be dividing the cost upon the number of hoodies

∴ The relation = $80/5

Hence, cost of a hoodie is $16

We can say that option A, the total cost is 16 times greater than the number of hoodies.

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Answer:consumer surplus

Step-by-step explanation:

Answer:

Its B consumer

Step-by-step explanation:

Answer:

708

Step-by-step explanation:

trust me