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2 years ago

Find out the secret number! Here's the clues

Mathematics

2 answers:

astra-53 [7]2 years ago

8 0

THIS MORON IS WASTING MY POINTS

Aleks04 [339]2 years ago

6 0

Answer:

Step-by-step explanation:

Known facts:

multiple of three, five, and seven
No digit occurs more than once
digit in the tens place is a square number.
the digit in the hundreds place is a cube
The 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 4
the 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 1
also, 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 place
when 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!

You might be interested in

Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

2 years ago

What is the common ratio of the sequence? -2,6,-18,54

aivan3 [116]

ANSWER

The common ratio is -3.

EXPLANATION

In general, the common ratio of a Geometric Sequence is given by:

$r = \frac{a_{n+1}}{a_{n}}$

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.

The given sequence is -2,6,-18,54

Using the first two terms the common ratio is

$r = \frac{6}{ - 2} = - 3$

We could also used the second and third terms to get

$r = \frac{ - 18}{6} = - 3$

and so on and so forth.

Therefore the common ratio is -3.

6 0

2 years ago

Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.

Andre45 [30]

Answer: $28,752

Explanation:

The definition of bimonthly is an event that happens once in two months. $-bi$ represents "two", while $-monthly$ represents "event that happens by month.

Given that Glenda receives a salary of $4,792 bi-monthly, we are required to find the earnings per year.

There are 12 months in each year, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

$12/2=6$

Finally, we shall multiply the total number with the salary, which will be $4,792 times 6.

$4792*6=\boxed{28752}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

2 years ago

KX equals X +4 find K7

Andre45 [30]

KX = x+4 so solve for k.
Divide both sides of the equation by x and you get K=4.
Plug it in, and you get (4)(7)=28
Your answer is 28.

5 0

2 years ago

Apply the distributive property to factor out the greatest common factor. 44h-33=

Flauer [41]

Answer:

11(4h-3)

Step-by-step explanation:

The greatest known common factor of 44h and 33 is 11. So using the distributive property, I got 11(4h-3)

8 0

3 years ago