what is the greatest 5 digit number which when divided by 2, 3, 4, and 5 leaves a remainder of 1 in each case​

Answers

Answer 1

Answer:99904.

Step-by-step explanation:

Find the LCM of

5

10 = 2x5

15 = 3x5

20 = 2x2x5

25 = 5x5

LCM = 2x2x3x5x5 = 300

Take the smallest 5-digit number: 10000 and divide it by 300 to get 33.33. Round it off to 34 and multiply it by 300 to get 10200. Finally add 4 to 10200 to get 10204 which is the smallest final 5-digit number.

Check: 10204/5 = 2040 as quotient and a remainder of 4. Correct.

10204/10 = 1020 as quotient and a remainder of 4. Correct.

10204/15 = 680 as quotient and a remainder of 4. Correct.

10204/20 = 510 as quotient and a remainder of 4. Correct.

10204/25 = 408 as quotient and a remainder of 4. Correct.

Answer: 10204.

To get the greatest 5-digit number take 99999 and divide it by 300 to get 333.33. Round it off to 333 and multiply it by 300 to get 99900. Finally add 4 to 99900 to get 99904 which is the final greatest 5-digit number.

Check: 99904/5 = 19980 as quotient and a remainder of 4. Correct.

99904/10 = 9990 as quotient and a remainder of 4. Correct.

99904/15 = 6660 as quotient and a remainder of 4. Correct.

99904/20 = 4995 as quotient and a remainder of 4. Correct.

99904/25 = 3996 as quotient and a remainder of 4. Correct.

Answer: 99904.


Related Questions

1. Given that (27 ^ (n + 3))/(81 ^ (p - 1)) = 3 , express p in terms of h.​

Answers

9514 1404 393

Answer:

  p = 3/4n +3

Step-by-step explanation:

Expressing the given equation in terms of powers of 3, we have ...

  (27^(n+3))/(81^(p-1)) = 3

  (3^3)^(n+3)/(3^4)^(p-1) = 3^1 . . . . as powers of 3

  3(n +3) -4(p -1) = 1 . . . . . . . . . . . . log base 3 (or, equate exponents)

  3n +9 -4p +4 = 1 . . . . . . . . . . . . . eliminate parentheses

  3n +12 = 4p . . . . . . . . . . . . . . . . add 4p -1

  p = 3/4n +3 . . . . . . . . . . divide by 4

Help me now now now now now

Answers

Answer:

-2 = -6

Step-by-step explanation:

first, you type -2 in the left box and -6 in the middle box

Can somebody help plz help me with this?

Answers

Answer:

N-8

Step-by-step explanation:

Summation properties and rules hurry please

Answers

Answer:

It is c

Step-by-step explanation:

Given the formula below, solve for x.

Answers

Answer:

find X in X with x if you find X with x in with x you got a formula

explain everything you know about y=x^2-5x-6

Answers

y = x^2 -5x-6 is a quadratic equation.

On a graph, rather than a straight line, this type of equation forms what is known as a parabola, which means it goes one direction and then makes almost like a U-turn.

The point in which the parabola (as mentioned before) changes direction is called the vertex.

Specifically, y = x^2 -5x-6 has exactly 2 solutions. This means that there are 2 different possible answers to this equation.

The solutions, or roots, to this equation are x= 6 and x= -1.

If you look at the graph for this equation, the parabola opens upwards like a U, and the vertex is ( 5/2, -49/4).

PLEASE HELP MEE!! 50 POINTS
URGENT

The function y= x^2-10x+31 has a _____ (minimum, maximum) value of __ (5, 10, 31, 6)

Answers

Answer:

minimum value of 6

Step-by-step explanation:

Given

y = x² - 10x + 31

with a = 1, b = - 10

Since a > 0 then the function has a minimum value

The minimum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the function for y- coordinate of vertex

y = 5² - 10(5) + 31 = 25 - 50 + 31 = 6

The function has a minimum value of 6

Triangle ABC is an equilateral triangle with vertices at A(-2,2), B(1,5), and C(-3,6) (Round your answers to the nearest hundredth, 2 decimal places) . a) (2 pts) Determine the length of a side of the triangle. b) (2 pts) Calculate the perimeter of the triangle. c) (2 pts) Now increase the triangle by a scale factor of 4. How long is each side now? d) (2 pts) What is the perimeter of the new triangle? e) (2 pts) What is the area of the original triangle?

Answers

Answer:

The answer is below

Step-by-step explanation:

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate is:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\[/tex]

An equilateral triangle is a triangle with three equal sides (all sides are equal).

a) Given vertices at A(-2,2), B(1,5), and C(-3,6):

[tex]AC=\sqrt{(-3-(-2))^2+(6-2)^2}=\sqrt{1+16}=\sqrt{17}=4.12\ unit\\\\AB=BC=AC=4.12\ unit[/tex]

b) Perimeter = AB + BC + AC = 3 * AC = 3 * 4.12 = 12.36 unit

c) If the scale factor is increased by 4, all the sides would also increase by 4. Hence the new length would be:

A'B' = B'C' = A'C' = 4 * AC = 4 * 4.12 = 16.48 unit

d) Perimeter = A'B' + B'C' + A'C' = 3 * A'C' = 3 * 16.48 = 49.44 unit

e) Area = [tex]\frac{\sqrt{3} }{4}*AC^2=\frac{\sqrt{3} }{4} *4.12^2=7.35\ unit^2[/tex]

A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST

Answers

Answer:

A. 4:5

B. 600 girls

Step-by-step explanation:

A. g : b = 12 : 15 = 4 : 5

B. the numbers of girls = 4/(4+5) × 1350

= 4/9 × 1350 = 600

What is the probability of living another year for a woman who is 73 years old ?

a) 0.951716

b) 0.968048

c) 0.980413

d) 0.991871

Answers

Answer:

0.980413

Step-by-step explanation:

The table for the deaths and death rate per 100,000 population is attached below ;

73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)

Hence, the probability of living another year is :

Number of deaths per 100,000 population ;

P(death) = 1958.7 / 100,000 = 0.019587

Probability of living another year = 1 - P(death)

1 - 0.019587 = 0.980413

Answer:

C. 0.980413

FHKEDIbEDSAJFWBHES

Carlos keeps his cards in an album. So far he has lots of full pages plus another 48 cards ready to go in. Altogether, he has more than 500 cards. If each page holds 20 cards, write an inequality that represents how many pages of cards Carlos might have. Solve the inequality. Guys how do i do this, this is hard, pls pls help.

Answers

Answer:

x ≥ 22.6 pages

Step-by-step explanation:

Each page = 20 cards

Cards ready to go in = 48

Let x = number of pages of cards Carlos might have

The inequality:

20x + 48 ≥ 500

20x ≥ 500 - 48

20x ≥ 452

x ≥ 452 / 20

x ≥ 22.6 pages

Age of car = 8 years. Original cost = $18,000. The cost of maintenance and repairs is $

Answers

From the graph it seems to be around the area of 10%.

So,

18,000 * 0.10 = $1,800

Write an equation that represent the value of an 8700 investment that has 9.1% interest rate compounded yearly y=a(b)^x

Answers

Answer:

future value = $8700(1.091)^x

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value = 8700

R = interest rate = 9.1%

N = number of years  = x

future value = $8700(1.091)^x

can someone please help me in this question

Answers

Answer:

a. 26 cm²

b. 55 cm²

c. 78 cm²

d. 89.27 cm²

Step-by-step explanation:

a. The shape can be decomposed into two rectangles

Area of the larger rectangle = L*W

L = 7 cm

W = 2 cm

Area of the larger rectangle = 7*2 = 14 cm²

Area of the smaller rectangle = L*W

L = 4 cm

W = 5 - 2 = 3 cm

Area of the larger rectangle = 4*3 = 12 cm²

Area of the compound shape = 14 + 12 = 26 cm²

b. The shape can be decomposed into a rectangle and a triangle.

Area of the compound shape = area of rectangle + area of triangle

= L*W + ½*b*h

L = 8 cm

W = 5 cm

b = 5 cm

h = 14 - 8 = 6 cm

Plug in the values

Area = 8*5 + ½*5*6

Area = 40 + 15

= 55 cm²

c. The shape can be decomposed into a rectangle and a trapezoid

Area of the compound shape = area of the rectangle + area of the trapezoid

= L*W + ½(a + b)h

L = 12 cm

W = 3 cm

a = 12 cm

b = 9 cm

h = 4 cm

Plug in the values

Area = 12*3 + ½(12 + 9)4

Area = 36 + 42

Area = 78 cm²

d. The shape can be decomposed into a rectangle and a semicircle

Area of the compound shape = area of the rectangle + area of the semicircle

= L*W + ½(πr²)

L = 10 cm

W = 5 cm

r = ½(10) = 5 cm

Plug in the values

Area = 10*5 + ½(π*5²)

Area = 50 + 39.27

Area = 89.27 cm²

use counters to add 2+ -1.​

Answers

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

What is the height of the tower? Round to the nearest tenth.
How tall is the tower?

Answers

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x

PLEASE I NEED HELP!!!!

Answers

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid a(b) = 14 * (b + 5)/2 Which equation below represents the inverse function b(a) , which takes the trapezoid's area as input and returns as output the length of the other base? N(c) = (c + 15)/20; n(c) = (c + 20)/15; n(c) = (c - 20)/15; n(G) = (Q - 15)/20

Answers

Answer:

[tex]b(a) = \frac{a}{7} -5[/tex]

Step-by-step explanation:

Given

[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]

Required

The inverse function

We have:

[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]

[tex]a(b) = 7(b + 5)[/tex]

Rewrite as:

[tex]a = 7(b + 5)[/tex]

Divide by 7

[tex]\frac{a}{7} =b + 5[/tex]

Subtract 5

[tex]b = \frac{a}{7} -5[/tex]

Express as:

[tex]b(a) = \frac{a}{7} -5[/tex] --- the inverse function

In 2014, a town's population was 795 people. By 2020, the population had grown to 1262 people. a. Create an exponential equation for the town's population "n" years from 2014. Round your multiplier to the nearest hundredth (2 decimal places).

Answers

Answer: [tex]P=795(1.84)^n[/tex]

Step-by-step explanation:

Given

Initial population was [tex]795[/tex] people

By 2020, it becomes [tex]1262[/tex] people

Suppose the population follows the trend [tex]P=P_oa^{n}[/tex]

where, [tex]n[/tex] is the number of years after 2014

For year 2020 it is 6. Insert the values

[tex]\Rightarrow 1262=795a^{6}\\\\\Rightarrow 1.587=a^{6}\\\\\text{Taking log both sides}\\\\\Rightarrow \log (1.587)=6\log (a)\\\Rightarrow \log (a)=0.2645\\\\\Rightarrow a=10^{0.2645}\\\Rightarrow a=1.84[/tex]

Thus, the exponential population trend is [tex]P=795(1.84)^n[/tex]

look at the image for the question

Answers

Answer:

Answer is y = 6

Step-by-step explanation:

Solve for y.

Answer:

Y=6 I think but I’m not positive.

sorry if I’m wrong.

haha

get it? POSITIVE?

Question 27(Multiple Choice Worth 1 points)
(07.03 LC)
How many solutions does the equation 4y - 4y - 12 = 14-2 have?
One
None
Two
Infinite

Answers

Answer:

none

Step-by-step explanation:

any value on y cancel 4y and then we will have -12=12 which is not true.

I really, REALLY need help. I will give brainliest to whoever figures it out.

Answers

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

if a number is divided by three and then two is added,the answer is twenty-nine.what is the number​

Answers

Answer:

81

Step-by-step explanation:

the answer is 81, just out this in the solution

Answer:

81

Step-by-step explanation:

29-2=27

27*3=81

if we divide 81 by 3 we get 27 and 27 plus 2 is 29 so it is 81

The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangent segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.

Answers

Answer:

Exact Length = 2*sqrt(30)

Approximate Length = 10.95445

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

Work Shown:

(tangent)^2 = (external secant)*(whole secant)

(CD)^2 = (CB)*(CA)

(CD)^2 = (CB)*(CB+BA)

x^2 = 5*(5+19)

x^2 = 120

x = sqrt(120)

x = sqrt(4*30)

x = sqrt(4)*sqrt(30)

x = 2*sqrt(30)  .......... exact length

x = 10.95445 ............. approximate length

The length of the tangent segment is; x = 10.95

Length of Tangent

From secant theorem, we know that;

Tangent ² = length of external secant × total length of secant.

From the image, we see that;

Length of tangent is x.

External secant = 5

Total length of secant = 19 + 5 = 24

Thus;

x² = 5 × 24

x² = 120

x = √120

x ≈ 10.95

Read more about length of tangent at;https://brainly.com/question/9132922

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.

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

Answers

Answer:

1,2, and 5

Step-by-step explanation:

y=2*(3+x)  

y=3x-2

3x-y=2

how do i do this, please explain....

Answers

Answer:

this is from a angle I think you want to write perimeter and area of this ×+1= and you want see that

What exactly is the prompt asking you to find? the perimeter, area?

what is the measure of each exterior angle of a regular dodecagon?

Answers

Answer:

30°

Hope this answer is right!

Step-by-step explanation:

to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.

There are 20 chocolates in a box.
Some of the chocolates contain nuts and the rest do not.
The probability that a chocolate containing nuts is picked at random from the
box is 0.6
How many of the chocolates in the box contain nuts?

Answers

Answer:

12 nutted chocolates

Step-by-step explanation:

0.6 is equal to 60% and 60% 0f 20 is 12.

HELP!!! I'm struggling in this class could you please help a person out?

Answers

Answer:

Options (2) and (3)

Step-by-step explanation:

Rigid transformation like translation, rotation or reflection form the image with no change in the area or shape.

By applying dilation, area of the image shape gets dilated by the scale factor 'k'.

If k > 1, area of the image will be greater than the original shape.

If 0 < k < 1, are of the image will be smaller than the original.

Option (1),

There is a dilation by a scale factor of [tex]\frac{2}{3}[/tex] and [tex]0<\frac{2}{3}<1[/tex],

Therefore, image will be smaller than the original.

Option (2)

There are two dilations.

First dilation is by a scale factor of 2 and the second is by a scale factor of [tex]\frac{2}{3}[/tex].

By first dilation area of the image will get doubled.

Followed by the dilation by a scale factor of [tex]\frac{2}{3}[/tex], area of the image will be dilated by the scale factor = [tex]2\times \frac{2}{3}[/tex]

                                         = [tex]\frac{4}{3}[/tex]

Since, [tex]\frac{4}{3}>1[/tex], image will be greater than the original.

Option (3)

In this option polygon is dilated by a scale factor [tex]\frac{3}{2}[/tex].

Since, [tex]\frac{3}{2}>1[/tex]

Image will have the greater area than the original.

Option (4)

In this option polygon is dilated by a scale factor [tex]\frac{1}{2}[/tex].

Therefore, area of the image will be less than the area of the original.

Options (2) and (3) will be the correct options.

Simplify (3x2 + 2x - 3) (x + 5)​

Answers

Answer:

3(x)^3 + 2(x)^2 + 22x - 15

Step-by-step explanation:

(3(x)^2 + 2x - 3) (x + 5)

=>(3(x)^2 + 2x - 3) (x) + (3(x)^2 + 2x - 3) (5)

=>3(x)^3 + 2(x)^2 - 3x + 15x + 10x - 15

=>3(x)^3 + 2(x)^2 + 22x - 15

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