Find out the secret number! Here's the clues

It is an integer.
It is a multiple of three, five, and seven.
No digit occurs more than once.
The digit in the tens place is a square number.
The digit in the hundreds place is a cube. The digit in the hundred thousands place is both a square and a cube.
Only the digit in the hundreds place is larger than the digit in the ones place
What is the number?
please show how you got the number please :)​

Answers

Answer 1

Answer:

Step-by-step explanation:

Known facts:

multiple of three, five, and sevenNo digit occurs more than oncedigit in the tens place is a square number.the digit in the hundreds place is a cubeThe digit in the hundred thousand places is both a square and a cube.Only the digit in the hundreds place is larger than the digit in the ones place

Analyzing our choices:

since the tens place is a square, but cannot be larger than the ones place, it has to be either 1 or 4the hundreds place is a cube which can be 8 not one since the digit in the hundred thousand places is both a square and a cube which is 1also, the number is divisible by 5 meaning that the last digit must be 5 or zero. However, only the hundreds place is larger than the digit in the ones place so it must be 5

Looking at what we have so far:

1 _ _ 8 4 5

this number is divisible by 3 and cannot be larger than 5 which is in the units placewhen a number is divisible by 3 all its digits must add to a number that is divisible by 3, meaning that the last unfilled digits can be filled by '0' and '3'now the order of '0' and '3' is determined by whether the number is divisible by 7

Result:  103845 is the secret number

Hope that helps!


Related Questions

Lana wants to have $100,000 in 20 years. She plans to invest $8,000 to start and make yearly payments of $1,500 to the account. She will be receiving 7.5% interest compounded monthly on her investment. Will she reach her goal?
No
Yes

Answers

Answer:

Yes Lana will reach her goal she'll have 10,414.58 by the end of the 6 years,

Step-by-step explanation:

Every Wednesday, Wayne works out for ¾ of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answers

180 minutes or 3 hours. 3/4 of an hour is 45 min and 45•3= 135. You then add 135+45= 180 min or 3 hours

HI PLEASE HELP PLEASE PLEASEE HELP

Answers

Answer:

Step-by-step explanation:

[tex]26) tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\ 1.4826 = \dfrac{BC}{12}\\\\\\1.4826*12 = BC[/tex]

BC = 17.8 cm

[tex]27) Cos \ x =\dfrac{adjacent \ side}{hypotenuse}\\\\Cos \ x = \dfrac{15}{18}\\\\\\Cos \ x = 0.83\\\\x = Cos^{-1} \ (0.83)\\\\[/tex]

x = 33.9°

What is 1/2 • 1 • 2 please help

Answers

Answer:

1

Step-by-step explanation:

1/2x1x2

1

What polynomial must be added to z2 + 4z – 7 in order for the sum of the two polynomials to be 2z2 + z + 7 ?

Answers

Answer: D. (z2-3z+14)

Step-by-step explanation:

took the test

Answer number 6 pleaseeee

Answers

Answer:

look it up :)

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

For commission on his sales is 7%

He makes a total sales of $ 12500

so 7 / 100 * 12500

it will be $ 875 as his total commission.

how many sites are in this data set

Answers

Answer:

i think 15

Step-by-step explanation:

What is the length of the hypotenuse of the triangle when x=11​?

The length of the hypotenuse is about

Answers

Answer: 78

Step-by-step explanation:

If x is 11, the shortest leg is 11*3 = 33 and the other leg is 6*11 + 5 = 71.

The hypotenuse = [tex]\sqrt{33^{2} + 71^{2} }[/tex]

= √6130

= about 78

URGENT

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 10,000 in.

Answers

Answer:

h=39

Step-by-step explanation

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

V = 10,000[tex]\pi[/tex]

radius = diameter / 2

diameter = 32

radius = 32/2

radius = 16

10,000[tex]\pi[/tex]=[tex]\pi[/tex](16)^(2)(h)

Simplify by dividing [tex]\pi[/tex] from both sides and evaluating 16^2

10,000=256h

Simplify again by dividing 256 from both sides to isolate h.

39.06 = h

Round to the nearest whole number:

39 inches.

helppp ……………
……………………………..

Answers

I believe it is D


Correct me if I am wrong

Answer: It's D

Step-by-step explanation:

Because you have to square root it and look back at the answer, so the number is 19, and look back at the line where is 19? That's your answer.

Determine the distance between points A (3, 5) and B (2, 1) rounded to the nearest tenth.

Answers

Answer:

4

Step-by-step explanation:

gradient=vertical distance /Horizontal distance

G=V/H

G = -4/-1

G =4

find the length of missing side in the triangle, give answer 1 decimal place
giving brainliest

Answers

♪Answer : z² = 6.4² - 3.2² z² = 40.96 - 10.24 z² = 30.72 z = √30.72 z ≈ 5.5

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Johnson picks one without looking, replaces it and picks another one.
What is the probability that she picks two that are NOT orange?

Answers

Answer:

75%

Step-by-step explanation:

Because there  were 12 marbles and only 3 of them are orange so it is a 75% chance she won't pick one and a 25% chance she will.

Hope it helps Have a great afternoon:)

y=(3x+15)(x-2)
in standard form

Answers

Answer:

[tex]y=3x^2+9x-30[/tex]

Step-by-step explanation:

To multiply [tex](3x+15)[/tex] with [tex](x-2)[/tex] we can use a method called the FOIL method. FOIL is an acronym standing for First, Outer, Inner, Last. This is the order in which we need to multiply. The first terms of each multiplier are [tex]3x[/tex] and [tex]x[/tex]. Therefore, we multiply these two terms to get [tex]3x^2[/tex]. The outer terms are [tex]3x[/tex] and [tex]-2[/tex]. Once again, we multiply these terms.

[tex](3x)(-2)=-6x[/tex]

Now, our equation looks like this: [tex]y=3x^2-6x[/tex]. We're not finished yet though. Next, we need to multiply the inner terms, [tex]15[/tex] and [tex]x[/tex]. This comes out as simply [tex]15x[/tex]. Now our equation looks like this: [tex]y=3x^2-6x+15x[/tex]. We just need to multiply the last terms, [tex]15[/tex] and [tex]-2[/tex]. This comes out as [tex]-30[/tex].

Our equation at this point has been fully multiplied:

[tex]y=3x^2-6x+15x-30[/tex]

We can see that we still have two like terms, [tex]-6x[/tex] and [tex]15x[/tex]. These can be combined to simply [tex]9x[/tex]. Our final equation, then, is this: [tex]y=3x^2+9x-30[/tex]

You have a puppy named Fido and 60 feet of fencing. You want to make him the largest play area possible. What are the dimensions of the rectangular area that has the greatest area? Show why this is the biggest with diagram or charts​

Answers

Answer:

15 feet x 15 feet

Step-by-step explanation:

I'm worried about Fido, so I'll use three different approaches to maximizing his play space:  Graphing, Chart, and First Derivative.  This is perhaps more than Fido wants, but it hopefully offers ideas on how these types of problems can be answered.

=========================

Fido is limited to 60 feet of fence, which will form the perimeter.  The area  of a rectangle is (length)*(width).  Let's set length to L and width to W.  I'll use A for area.

Therefore A = L*W

The rectangle's perimeter will be 2L + 2W, and this is equal to 60 feet:

2L + 2W = 60

Let's rearrange this equation to isolate either W or L.  I chose L:

L + W = 30

L = 30 - W

Now let's use this definition of L in the Area equation:

A = L*W

A = (30-W)*W

A = 30W - W^2

Graphing

We can graph this function (A = 30W - W^2) to find the maximum area.  See the attached image.  We find a maximum area of 225 ft^2 when the width is 15 feet.  15 feet would mean that Fido's roaming pen will be in the shape of a square;  15 feet for each side equals 60 feet total fence.

Chart

One can also find a maximum by calculating a variety of conditions set by L = 30 - W.  I randomly picked lengths from 2 to 24 feet and calculated the resulting width and then the resultant area for each condition.  See attached image.  Although I did not pick 15 feet, we can see that the area increases until the length transitions from 14 to 16 feet.  It reverses direction at that point. A closer inspection around those values will show that 15 feet is, in fact, the optimum value to produce a pen with the most area.

First Derivative

One could also take the first derivative of the equation A = 30W - W^2 and set it equal to zero.  The fist derivative tells us the slope of the line at any point (for a value of W in this example).  The slope is zero only when the curve hits a maximum.

A = 30W - W^2

A' = 30 -2W

0 = 30 - 2W

2W = 30

W = 15 feet

The slope is zero when the width is 15 feet.  15 feet is the optimum for creating a pen with the most area possible with 60 feet of fence.

===

All three approaches yield the same result.  Graphing is fun when you have access to DESMOS.  Charts are fun if you like Excel.  Derivatives can also be fun, mostly because I always ponder "Who had the audacity to think this might work?"  (Didn't they have something more important to do?  Raid a village, etc.?).

====

Arf

The place kicker for the Cascade Champs, scored 120 points last year. They were all gained on 1-point extra-point kicks and 3-point field goals. He successfully completed sixty-six kicks. How many of each type did he make​

Answers

Answer:

your equations would be 3x+1y=86 and x+y=42

the answer would be 22 field goals and 20 extra po

Step-by-step explanation:

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

the answer is 25 km so your welcome

Compile a list of words that describe you as a child. Compile a second list that describes you as you are now. How are these lists the same? How are they different?

Answers

the list are different because as i grow things change a lot

En un edificio de cinco pisos viven las familias grados, sarabia, gutierrez, pardo y castro

Answers

6 families is the answer

Alexa always gives a 15% tip when she eats at a
restaurant. She gives a $2.13 tip. What was the
cost of her meal?

Answers

the cost of her meal was "x", which is the 100% of her bill, we also know that $2.13 is 15% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 2.13&15 \end{array}\implies \cfrac{x}{2.13}=\cfrac{100}{15}\implies \cfrac{x}{2.13}=\cfrac{20}{3} \\\\\\ 3x=42.6\implies x=\cfrac{42.6}{3}\implies x=14.2[/tex]

Which of the following functions, when graphed, is a line with a downward slant?

Answers

Answer:

Step-by-step explanation:

A function with a downward slant must have a negative slope.

All these lines are in the format y = mx + b where m is the slope's value.

The only one that fits the requirement is choice (B) which has a slope of -4.

Hope that helps!

A plumber charged x dollars per hour for a 4-hour job plus $175 for parts. The to- tal charge for the service call was $415.00. Which equation can be used to deter- mine how much the plumber charged per hour? ​

Answers

Answer:

4x + 175 = 415

Step-by-step explanation:

4 is the hours, so it should be multiplied by x to see how much you get every hour (and a total of 4 hours).

175 is the constant and should be added to the equation so that all fees are included.

415 is the total amount so the equation should equal that number.

Hope this helps!

i need help with homework!

Answers

Answer:

the r means remainder

Step-by-step explanation:

there ya go:)

Answer

Here you go

Step-by-step explanation:

9. is 30.5

10. is 1111.28571429= 1111.28

11. is 614.666666667= 614.67

12. 62.125

13. 56.125

14. 891

15.is 72.5714285714=  72.57

16. 30.6666666667= 30.6

17. 215. 666666667= 215.67

18.is 494.75

19. is 74.6666666667= 74.67

20. is 4876

Given p | q and 24 = 130°, find the measure of angle 1:
P
34
5 6
78
9
70°
130°
HELP!!

Answers

Answer:

p is equal to 130 reason vertical opposite angles

Construct a circle with a radius of 8cm, and draw an equilateral triangle inside it. Make sure the length of each side measures to 15.6 cm. ​

Answers

Answer:

Diagram 1

Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)

Add a point on the circumference of the circle (point C2)

Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).

Diagram 2

The red circle intersects the black circle at two points (D and E).

Connect these 2 points of intersection with a line segment.

Diagram 3

Draw a third circle with center D and radius DE (shown in blue)

This circle intersects the black circle at point F.

Diagram 4

Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!

. 1
Sienna had 8 feet of string to make bracelets. If she uses of a foot of string for each bracelet, how many bracelets can she make?
8 bracelets
bracelets
24 bracelets

Answers

24 Bracelets, if she had 8 feet and she only used a foot for each bracelet she would be able to get 24 bracelets

The number of bracelets she can make is 32

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Length of string=8feet

Now,

This is a word problem on fractions that requires division. To solve it, you need to follow these steps1:

Define a variable. Let x be the number of bracelets Sienna can make.

Write an equation using the variable. Since she uses 1/4 of a foot of string for each bracelet, we can write: x * (1/4) = 8

Solve the equation. To isolate x, we need to multiply both sides by 4: x = 8 * 4

Simplify the expression

x = 32

Therefore, by the unitary method the answer will be 32.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

X, Y and Z form the vertices of an isosceles triangle.
XY = 8.7m, YZ = 13.8m.
Find the angle

XYZ rounded to 1 DP.

Answers

Answer:

∠XYZ = 37.5

Step-by-step explanation:

IN THE IMAGE ABOVE

The surface area of ​​the block is​

Answers

Answer:

In this rectangular prism, opposite sides are equal.

So if we find the 3 different sides, we would need to multiply those individual sides by 2 (because opposite sides are equal/have the same area) and then add them to get the surface area.

One side (the front and back side);

The width is 8 and the height is 7, so (8 x 7) = 56. Though, it's opposite side is the same as well so we multiply 56 by 2, (56 x 2) = 112

Second side (the left and right side);

The width is 18 and the height is 7, so (18 x 7) = 126. Though, it's opposite side is also the same as well, so we multiply 126 by 2, (126 x 2) = 252

Third side (the top and bottom side);

The width is 8 and the height is 18, so (8 x 18) = 144. Though, it's opposite side is also the same as well, so we multiply 144 by 2, (144 x 2) = 288

Now, we add all the areas we've gathered:-

112 + 252 + 288 = 652 square cm

a piece of cloth was 39 feet long. how long is the cloth in yards?​

Answers

Answer:

13 yards

Step-by-step explanation:

1 yard = 3 feet

39 ÷ 3 = 13 yards

The cloth is 13 yards.

Hope this helps!

Answer:

13 yards

Step-by-step explanation:

which of these functions is linear?​

Answers

The only linear function is:

y = x - 5

So the correct option is B.

How to identify a linear function?

A linear function is a polynomial of degree 1, and can be written as:

y = a*x + b

So we have a coefficient multiplying the variable and a constant term, nothing else.

By comparing this with the options, we can see that the only linear function given is the one in option B.

y = x - 5

Where a = 1, and b = 5.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

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