Find the digits x and y such that number 90x0y07 is divisble by 2017

Answers

Answer 1

No digit with the format 90x0y07 is divisible by 2017

How do determine the digits x and y?

The given parameters are:

Dividend = 90x0y07

Divisor = 2017

The dividend is a 7-digit number, and the divisor is a 4-digit number

So, the quotient must be 3 to 4 digits.

Comparing the first and last digits of 90x0y07 and 2017;

The first and last digits of the quotient must be 4 and 1, respectively

So, we have:

90x0y07 = 2017 * 4a1

Assume a = 9.

So, we have:

90x0y07 = 2017 * 491

90x0y07 = 990347

The above is 6-digit.

So, we make use of a 4-digit quotient

This gives

90x0y07 = 2017 * 4ab1

Next, we make use of trial by error.

After several attempts, we conclude that no digit with the format 90x0y07 is divisible by 2017

The closest attempt is

90x0y07 = 2017 * 4471

90x0y07 = 9018007

Where:

x = 1, y = 0 and the digit between x and y is 8, not 0

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Related Questions

Given y=-x^2 if the function is shifted 5 units up which equation describes the new function

Answers

The equation that describes the new function is y' = x^2 + 5

How to determine the new function?

The function is given as:

y = x^2

Shifting the function up by 5 units, the rule is

(x, y) = (x, y + 5)

So, we have:

y' = x^2 + 5

Hence, the equation that describes the new function is y' = x^2 + 5

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The set $\{2, 4, 6, \dots, n\}$ contains the positive consecutive even integers from 2 through $n$. When one of the integers from the set is removed, the average of the remaining integers in the set is 28. What is the least possible value of $n$

Answers

The least possible value of n is 27.

According to the statement

We have given that the set which is {2,4,6,8.....n} and and one set is removed from them the average of remaining integers is 28.

Then

Firstly set contain n numbers

But after that set contain n-1 numbers after removal of 1 digit from them.

and average value of remaining digit is 28 then 28th term become after removal is

28th term =28*2

28th term = 56.

then

we use the formula to calculate n

n-1 =28

then the value of n become 27.

the least possible value of n is 27.

So, The least possible value of n is 27.

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The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = startfraction 3 x 10 superscript 8 baseline over x endfraction what are the wavelengths for x-rays with frequency 3 × 1018?

Answers

The wavelength of X-rays for the given frequency is [tex]$1 \times 10^{-10} \mathrm{~m}$[/tex].

What is the wavelength of light ?

The distance between the two crests or troughs of the light wave is known as the wavelength of light.

The color of light is determined by its wavelength, and the pitch of sound is determined by its wavelength. The visible spectrum of light has wavelengths between around 700 nm (red) to 400 nm (violet). The range of audible sound wavelengths is roughly 17 mm to 17 m.

To calculate the wavelength of light, we use the equation:

[tex]$\lambda=\frac{c}{\nu}$[/tex]

where,

λ = wavelength of the light  

c = speed of light = [tex]$3 \times 10^{8} \mathrm{~m} / \mathrm{s}$[/tex]

ν= frequency of light = [tex]$3 \times 10^{18} s^{-1}$[/tex]

Putting the above value in equation,

[tex]$\lambda=\frac{3 \times 10^{8} \mathrm{~m} / \mathrm{s}}{3 \times 10^{19} \mathrm{~s}-1}=1 \times 10^{-10} \mathrm{~m}$[/tex]

Hence, the wavelength of X-rays for the given frequency is [tex]$1 \times 10^{-10} \mathrm{~m}$[/tex].

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Robinsons tapestry all measure 1.5m x 1 m. express the tapestries night to width using round numbers and ratio notation

Answers

The ratio of the tapestries' height to breadth is 3:2 when using full integers.

Calculation

The ratio of two numbers is used to indicate proportions.

A/b, for example, is the ratio of a to b.

Given the subsequent sides, it is a tapestry.

Height = 1.5 m

Width = 1 m

So, height : width= 1.5:1

or, the fraction = 1.5/1=15/10= 3/2

or, it can be said 3:2

Since entire numbers are used, the ratio of the tapestries' height to breadth is 3:2.

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Please help with this

Answers

Answer:

the answer is 8

Step-by-step explanation:

thats what i got

Which expression is equivalent to startfraction 3 x superscript negative 6 baseline y superscript negative 3 baseline over 15 x squared y superscript 10 baseline endfraction? assume x not-equals 0, y not-equals 0

Answers

The equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex]

Divide 3 and 15 by 3

[tex]\frac{x^{-6}y^{-3}}{5x^2y^{10}}[/tex]

Apply the law of indices

[tex]\frac{1}{5x^{2+6}y^{10+3}}[/tex]

Evaluate the sum

[tex]\frac{1}{5x^{8}y^{13}}[/tex]

Hence, the equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]

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Use properties to rewrite the given equation. Which equations have the same solution as the equation

x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x

Answers

The equation computed shows that the correct options are A, B, and D.

How to illustrate the information?

1) The equation we want to rewrite is;

³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x

(³/₅ + 1)x + ²/₃ = ¹/₂ – ¹/₅x

⁸/₅x + ²/₃ = ¹/₂ – ¹/₅x

This corresponds with the solution in Option A

2) ³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x

Let us use multiplication property of equality which states that if we multiply both sides of an equation by the same quantity, then both sides remain equal.

Let's get rid of the denominators by multiplying each term by the LCM of the denominators. LCM of 2,3,5 is 30. Thus;

30(³/₅x) + 30(²/₃) + 30x = 30(¹/₂) - 30(¹/₅x)

Simplifying gives;

18x + 20 + 30x = 15 - 6x

This solution corresponds with that in option B

3) We will make use of additive property of equality which states that when we add the same number to both sides of an equation, then both sides remain equal.

Let's add 6x to both sides of 18x + 20 + 30x = 15 - 6x;

18x + 20 + 30x + 6x = 15 - 6x + 6x

⇒ 24x + 30 + 20 = 15

Using subtractive property of equality, let us subtract 20 from both sides to get;

24x + 30 + 20 - 20 = 15 - 20

This corresponds with the solution in Option D.

Complete question:

Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all that apply.

a. 8/5x+2/3=1/2-1/5x

b. 18x + 20 + 30x = 15 – 6x

c. 18x + 20 + x = 15 – 6x

d. 24x + 30x = –5

e. 12x + 30x = –5

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What is the perimeter of a regular heptagon with a side length of 8 units? 48 units 56 units 72 units 32 units

Answers

Answer:

The answer to your question is P=56

Step-by-step explanation:

P=7a=7·8=56

I hope this helps and have a good day!

Determine if the set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is a vector space

Answers

The set  (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.

A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.

Addition operation:

Commutativity -

(x1, x2) + (y1, y2) equals  (x1 - x2,  y1 + y2) equals  (y1, y2) + (x1, x2)

Associativity -

(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =

((x1, x2)   + (y1, y2)) + (z1, z2)

Zero element -

(0, 0)  → (x1, x2) + (0, 0) = (x1, x2)

Inverse element -

(x1, x2)  adding (-x1, -x2) = (0, 0)

Scalar multiplication:

Compatibility -

a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))

Identity element -

1(x, y) = (x, 0) ≠ (x, y)     [Identity element doesn’t exist for this operation.)

Distributivity law -

a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)

Distributivity law -

(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)

The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.

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Can someone help me please

Answers

10 plus 4 equal 14 so you have to get the same sum for he other line since they are equal distances. 14 minus 5 is 9, so therefore x is equal to 9.

WILL MAKE BRAINLIEST!! What type of angle is angle A?

Answers

Obtuse angle because is more than 90 degrees but less than 180 degrees.

Helen needs a replacement ball bearing for this part. The surface area of each spherical ball bearing is approximately 452.16 square millimeters. What is the radius of the bearing that Helen needs to buy? Round your answer to a whole number.

Answers

Helen needs a replacement ball bearing whose radius is 5.99mm

A sphere is a perfectly round geometrical 3-dimensional object. It can be characterized as the set of all points located distance r (radius) away from a given point (center). It is perfectly symmetrical, and has no edges or vertices.

The formula of surface area of the sphere is [tex]4\pi r^{2}[/tex] where r represents radius

Given:  Surface area of ball  = 452.16[tex]mm^{2}[/tex]

Using formula we get,

[tex]4\pi r^{2}[/tex] = 452.16[tex]mm^{2}[/tex]

r^2 = 452.16/4[tex]\pi[/tex]

r = 5.99 mm

Thus Helen needs a replacement ball bearing whose radius is 5.99mm

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The price of a new television is $423. This price includes VAT in 17 1/2%.
a) Work out the cost of the television before VAT was added.
By the end of the year, the value of a television has fallen by 12% of its value at the start of that year. The value of a television was $423 at the start of the year.
b) Work out the value of the television at the end of the third year. Give your answer to the nearest penny.

Answers

The cost of the television before VAT was added is $360 and the value of the television at the end of the third year is $288.3

What is the meaning of VAT ?

VAT is an acronym for Value Added Tax. This is a tax attach to goods and products.

Given that the price of a new television is $423. This price includes VAT in 17 1/2%.

a) The cost of the television before VAT was added is calculated below.

Let the initial cost = C

(17.5 + 100)/100 x C = 423

117.5/100 x C = 423

1.175C = 423

C = 423/1.175

C = $360

b. By the end of the year, the value of a television has fallen by 12% of its value at the start of that year. If the value of a television was $423 at the start of the year, the value of the television at the end of the third year will be calculated by using the formula

A = P(1 - R%)^3

Substitute all the parameters

A = 423(1 - 12/100)^3

A = 423 x [tex]0.88^{3}[/tex]

A = 288.3 dollars

Therefore, cost of the television before VAT was added is $360 and the value of the television at the end of the third year is $288.3

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Gaby mi mejor amiga <3

Answers

Answer:

que necesitas? acaso necesitas algo fan de Sparta o no

Step-by-step explanation:

ok

Point W is on line segment \overline{VX} VX . Given VX=4x,VX=4x, VW=3x,VW=3x, and WX=5,WX=5, determine the numerical length of \overline{VX}. VX .

Answers

The numerical length of VX is undefined

How to determine the numerical length of VX?

The given parameters are

VX = 4x

VW = 3x

WX = 5x

Point W is on line segment VX

So, we have

VX = VW + WX

This gives

4x = 3x + 5x

Evaluate

4x= 8x

The above equation is false

Hence, the numerical length of VX is undefined

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You spend 0.88 of your allowance this week. what percent of your allowance did you spend?

Answers

Answer: 88%

Step-by-step explanation: So, to convert the decimal into a percentage, multiply .88 by 100. And BOOM! you have 88% as your answer.

We spent 88% of your allowance this week.

Since  we know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

To find out what percentage of your allowance you spent,

Divide the amount you spent by your total allowance,

then multiply by 100 to get the percentage.

Here are the steps:

1.  Identify the amount you spent: 0.88

2. Identify your total allowance: 1.00 (assuming your allowance is $1.00) 3. Divide the amount spent by the total allowance,

⇒ 0.88 ÷ 1.00 = 0.88 4.

Multiply the result by 100 to get the percentage,

⇒ 0.88 x 100 = 88%

Therefore, we spent 88% of your allowance this week.

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Find the volume of a pyramid with a square base, where the perimeter of the base is 4.1 m and the height of the is pyramid 3.6 m. Round your answer to the nearest tenth of a cubic meter.

I will mark brainlest

Answers

Answer:

Volume = 1.3m³

Step-by-step explanation:

The height of the pyramid (h) = 3.6m

The perimeter of the base = 4.1m

Volume of a pyramid = ?

Formula:-

[tex]\boxed{\sf Volume =\cfrac{1}{3} \: a^2h}[/tex]

So,

Perimeter = 4a

[tex]\sf 4.1=4a[/tex]

[tex]\sf a=1.025[/tex]

Now, let's put the value of a in the formula:-

[tex]\sf V=\cfrac{1}{3} \:(1.025)^{2} (3.6)[/tex]

[tex]\sf 1.26075m^2[/tex]

[tex]\sf \thickapprox 1.3m^3[/tex]

Therefore, the volume of the pyramid is 1.3m³.

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

Answers

The steps in evaluating each of the following expressions is shown below.

What is an expression?

An expression can be defined as a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.

How to evaluate the given expressions?

15 - 35/7 - 2 + 3 - 4

15 - (35/7) - 2 + 3 - 4 (bracket and division)

15 - 5 - 2 + 3 - 4 (regroup)

15 + 3 - 5 - 2 - 4 (subtract and add)

18 - 11 = 7.

Expression 2.

10 + 2(9 - 5) - 16/18

10 + (2 × 4) - 8/9 (bracket and division)

10 + 8 - 8/9 (add)

18 - 8/9 (subtract)

162/9 - 8/9 = 17 1/9 or 154/9.

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Complete Question:

Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.

A. 15 - 35/7 - 2 + 3 - 4

B. 10 + 2(9 - 5) - 16/18

The length of the rectangle is 4 times its width. If the
erimeter of the rectangle is 80 m, find the length and
readth of rectangle.

Answers

Answer:

width is 8, length is 32

Step-by-step explanation:

* = multiply or times

Let the width be x, then the length would be 4x

Perimeter = 2*length+2*width

80 = 2*4x+2*x

80 = 8x+2x

80 = 10x

8 = x (width)

32 = 4x (length)

Someone help me pls and thank you

Answers

Answer:

4,11

Step-by-step explanation:

11-4=7

11*4=44

To find the actual integers, factor 44 and experiment with each pair of factors, an example being 2 and 22.

2*22=44

However, if you subtract 2 from 22, you get 20, not 7.

22-2-20

(x)/(12)=(y)/(13)=(z)/(15 )3x+2y=35 tìm x , y , z

Answers

Money is important xyz

Step-by-step explanation:

z is the answer of your question 15 is correct answer

Which of the following is equal to m^5/2, for all value of m?

Answers

The equivalent expression is:

[tex](m^5)^{1/2} = \sqrt{m^5}[/tex]

Which is the one in option A.

How to identify the equivalent expression?

Here we start with the expression:

[tex]m^{5/2}[/tex]

Now, remember that:

[tex]\sqrt{x} = x^{1/2}[/tex]

[tex](x^a)^b = x^{a*b}[/tex]

if we define a = 5 and b = 1/2, we get:

[tex]m^{5/2} = (m^5)^{1/2}[/tex]

Using the first property, we get:

[tex](m^5)^{1/2} = \sqrt{m^5}[/tex]

Then we conclude that the correct option is A.

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3 m
8 m
12 m
9m
6 m
Find the total surface area of the trapezoidal prism in the figure.

Answers

The total surface area of the trapezoidal prism is 180m². Option C

Total surface area of a trapezoidal prism

The formula for the total surface area of a trapezoidal prism is;

Total surface area = h (b + d) + l (a + b + c + d)

Where

b and d are parallel sides = 3, 9

h is the distance = 8

l is the length of the trapezoidal prism. = 12

Substitute into the formula

Total surface area = [tex]8(3 + 6) + 12(3 + 6)[/tex]

Total surface area = 72 + 108

Total surface area = 180 m²

Thus, the total surface area of the trapezoidal prism is 180m². Option C

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if the area of a rectangle is represented by 25x^3y^6 and its width is represented by 10xy, express the length of the rectangle in terms of x and y

Answers

The length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.

The area of a figure is the total space enclosed in two dimensions within its boundary.

The area of a rectangle is given as, area = length*width.

In the question, we are given that the area of a rectangle is represented by 25x³y⁶ and its width is represented by 10xy, and are asked to express the length of this rectangle in terms of x and y.

We know that the area of a rectangle is given as, area = length*width.

Substituting the known values in the equation, we get:

25x³y⁶ = length*10xy.

Rearranging this equation, we get:

length = 25x³y⁶/10xy = (5x²y⁵)/2 = 2.5x²y⁵.

Thus, the length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.

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Which ordered pair is generated from the equation shown below y = 3x - 1 OA) (6, 18) O B) (6, 17) OC) (4, 12) OD) (9,8)​

Answers

Answer:

B) (6, 17)

Step-by-step explanation:

y = 3x - 1

To find a solution to the equation

Let x = 6

y = 3*6 -1

y = 18-1

y = 17

One possible solution is ( 6,17)

This is choice B

F(x)=4x^3+7x^2x-1. G(x)=4x-2 find (f-g)(x)

Answers

Answer:

4x^3 + 7x^2 - 3x + 1

Step-by-step explanation:

BTW your question, there is a sign misssing

You are out to dinner with 10 friends (meaning there are 11 of you). The bill total is $110. You all want to split the bill evenly. How would you write this as an improper fraction?

A 110/10
B 10/111
C 11/110
D 110/11

Answers

Answer:

110/11

A

Step-by-step explanation:

divide the bill by 11 people.

Answer:

D. 110/11

Step-by-step explanation:

110 Dollars

11 people to split it with

110/11 to find the total for each person

What's the correct equation?

Answers

Answer:

C

Step-by-step explanation:

y=mx+b where m is the slope or weekly payments and b is the y-intercept or initial fee.

300 = 30w + 60 fits this

Simplify the expression below. Then classify the resulting expression
as a monomial, binomial, or trinomial.
3x²+6x+5-3x(2+x)
Which of the following represents the simplified expression and its
polynomial classification?

Answers

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

PART I: Simplify the expression

Given expression:

 3x² + 6x + 5 - 3x (2 + x)

Expand parenthesis by distributive property:

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

Put like terms together:

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= [tex]\boxed{5}[/tex]

PART II: Classify polynomial

Concept:

Polynomial is classified by the number of terms a polynomial has.

Monomial: a polynomial with only one termBinomial: a polynomial with two terms...

Classify the given expression:

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a monomial.

Hope this helps!! :)

Please let me know if you have any questions

The answer is 5, which is a monomial.

Let's simplify using the distributive property.

3x² + 6x + 5 - 3x(2) - 3x(x)3x² + 6x + 5 - 6x - 3x²5

If the resulting expression has only one term, it is classified as a monomial.

a vendor sold 25 dozens of mangoes. He was able to sell 3/5 of the total number of mangoes at 15.50 pesos and the remaining at 19.00 pesos each. How much was the total sales?

Answers

Answer: 422.5

Step-by-step explanation: To find how many mangoes were sold at 15.50 pesos, find 3/5 of the total number of mangoes. 3/5 of 25 is 15 because 3 (numerator) times 25 (mangoes) divided by 5 (denominator) is 15. 15 times 15.50 (price) is 232.5 pesos. Next we take the remaining mangoes (10) and multiply it by the price (19) to get 190 pesos. Add the sales and you get 422.5 pesos.

Answer:

422.50 pesos total

Step-by-step explanation:

3/5 ths of 25 = 15

(1/5th of 25 is 5, so we can multiply that number by 3 (3)(5) to get what 3/5ths of 25 are)

So, 15 mangoes were sold at 15.50 pesos

15 × 15.50 = 232.50

(why is this multiplication?  

remember that repeated addition is multiplication. We are adding the cost of each mango (15.50) 15 times, which we could write as 15.50 + 15.50... 15 times, or we could simply multiply the two values :)   )  

Because this vendor has sold 15 of his mangoes, he has 10 left (25 - 15 = 10), so we multiply

10 × 19.00 to find the combined cost:

10 × 19.00 = 190.00

Now, we want to find the total sale (how much money he made in total, from all 25 mangoes)

So, let's add our two values together:

  232.50

+ 190.00

 422. 50

So, the vendor made 422.50 pesos total from his mangoes

hope this helps! have a lovely day :)

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