Given a positive integer N. Deleting the last digit of N decreases it by 2021. What is N ?

Answers

Answer 1

The value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].

Given: A positive integer N such that deleting the last digit of N decreases it by 2021

To find: The value of N

Let x be the integer consisting of all digits of N except the last digit and let the last digit of N be d.

Then, [tex]N=10x+d[/tex]

It is given that deleting the last digit  decreases it by 2021

Then, [tex]x=N-2021[/tex]

Substitute [tex]N=10x+d[/tex] in [tex]x=N-2021[/tex] to get,

[tex]x=10x+d-2021[/tex]

[tex]d=2021-9x[/tex]

Since d is a digit, we have,

[tex]0\leq d\leq 9[/tex]

Substitute [tex]d=2021-9x[/tex] in [tex]0\leq d\leq 9[/tex] to get,

[tex]0\leq 2021-9x\leq 9[/tex]

[tex]9x\leq 2021\leq 9x+9[/tex]

[tex]9x\leq 2021\leq 9(x+1)[/tex]

[tex]x\leq \frac{2021}{9} \leq x+1[/tex]

[tex]x\leq 224.5556 \leq x+1[/tex]

Then,

[tex]x\leq 224.5556[/tex] and [tex]224.5556 \leq x+1[/tex]

[tex]x\leq 224.5556[/tex] and [tex]x\geq 223.5556[/tex]

[tex]223.5556 \leq x \leq 224.5556[/tex]

Since x is an integer, the only possibility that satisfies the above inequality is, [tex]x=224[/tex]

Substitute [tex]x=224[/tex] in [tex]d=2021-9x[/tex] to get,

[tex]d=2021-9(224)[/tex]

[tex]d=2021-2016[/tex]

[tex]d=5[/tex]

Substitute [tex]x=224[/tex] and [tex]d=5[/tex] in [tex]N=10x+d[/tex] to get,

[tex]N=2245[/tex]

Thus, the value of the positive integer N, such that deleting its last digit decreases it by 2021, is 2245. That is, [tex]N=2245[/tex].

Learn more about word problems with digits of a number here:

https://brainly.com/question/17236020


Related Questions

it the repeating number 0.362799791799176191... rational or irrational and why

Answers

Answer:

no, because the number is not repeating

Step-by-step explanation:

Choose the graph that matches the following system of equations: x–3y =-12, 2x - y = 1​

Answers

Hmmm the actual solution should x=3 and y= 5 so I see no points plotted like that in those graphs

Answer:

x=3, y=5

Step-by-step explanation:

Do these pairs of values (x and y) represent two quantities that are proportional?

X: 4, 6, 10, 14
Y: 2, 3, 5, 7

Answers

Answer:

No

Step-by-step explanation:

In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not).  It would not go through (0.0), but would go through (2, 0)

please help me out I'll greattlyyy appreciate it!!!!!!!!! (no links)
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Answers

Answer: Choice C

i/j = h/k

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

Explanation:

The triangle proportionality theorem basically says that if we draw a parallel line somewhere inside the triangle like this, then we'll split the sides into smaller pieces that are proportional to one another (eg: the longer side is say 3 times longer than the shorter side for each piece of the original triangle).

One statement we can make is j/k = i/h. This then can be rearranged into i/j = h/k after doing a bit of algebra. Other equations are possible, so there are many combos we could try.

find the area of the right triangle

Answers

Answer:

Area: 24 sq units

Step-by-step explanation:

Area of a rectangle formula:

A = 0.5bh

Given:

b = 6

h = 8

Work:

A = 0.5bh

A = 0.5(6)(8)

A = 3(8)

A = 24

Answer: A = 24 unit²

Concept:

The area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane.

Area (triangle) = bh/2

b = base

h = height

Solve:

Given information

1 unit = 1 grid

b = 6 grids = 6 × 1 = 6 units

h = 8 grids = 8 × 1 = 8 units

Given expression

A = bh / 2

Substitute values into the expression

A = (6) (8) / 2

A = 48 / 2

A = 24 units²

Hope this helps!! :)

Please let me know if you have any questions

Please help!!!!!!
Find the radical equivalent 8-2/3 and compute It.

Answers

Answer:

2.71

Step-by-step explanation:

Given 8 - 2/3 = 8(3/3) - 2/3 = 24/3 - 2/3 = 22/3 = 7.333 then the radical is

7.333**(1/2) = 2.71

use logarithm tables to evaluate
the following
723.7 X 0.0667​

Answers

Answer:

1.68

Step-by-step explanation:

log723.7=2.86

multiplication in log is addition so 2.86+

log0.0667=-1.18

so 2.86+-1.18=1.68

One hamburger and one coke cost $3.20. Three hamburgers and one coke cost $8.00. Find the cost of one hamburger.
$2.40
$2.60
$4.80
$0.80
$2.10

Answers

Answer:

$0.80

Step-by-step explanation:

-3 (1x + 1y = 3.2)

3x + 1y = 8

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

-3x - 3y = -9.6

+

3x + 1 y = 8

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

0x -2y = -1.6

÷ -2

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

y = 0.8

one hamburger costs $0.80

A storeowner orders 25 calculators that cost ​$38 each. The storeowner can sell each calculator for ​$42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$2 charge for each returned calculator​ (although the initial cost is​ refunded). What is the​ storeowner's profit?

Answers

Answer:

Step-by-step explanation:

25*-30= -$750

Second: He sells 22 of those calculators for $35 each, so he is making money.

22*35= $770

Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.

3*-2= -6

Add all the costs and sales together, and you get 770-750-6= $14 profit

However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90

$90+$14= $104 profit

here u go

2x²+3x²+3.(-1) =5x.x+5x .1

Answers

[tex]\\ \sf\longmapsto 2x^2+3x^2+3(-1)=5x.x+5x.1[/tex]

[tex]\\ \sf\longmapsto 5x^2-3=5x^2+5x[/tex]

[tex]\\ \sf\longmapsto 5x^2-5x^2-3=5x[/tex]

[tex]\\ \sf\longmapsto 5x=-3[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-3}{5}[/tex]

formula of (a^3+b^3)​

Answers

Answer:

[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]

Step-by-step explanation:

Los científicos dicen que el universo fue por el big bang pero yo tengo una teoría


Mi teoría es

Que el universo no se creó siempre a estado siempre estuvo y siempre estará, que el universo no tienen edad que el universo es infinito y siempre lo será esa es mi teoría un poco corta

Answers

Answer  yo mbitaen digo lo mismo el universo siempre a eado hays sn niotrsoss oarlo

bet

Step-by-step explanation:

picking brainliest! what's the difference between the union and intersection of two sets??

Answers

Step-by-step explanation:

The union of two sets contains all the elements contained in either set,

The intersection of two sets contains only the elements that are in both sets.

Answer:

Step-by-step explanation:

The union is the set that contains all the elements in both sets ( no repetitions).

The intersection is the set that contains only the elements that are common to both sets.

Chris is saving for a down payment to buy a house. The account earns 3.9% interest compounded semi-annually, and he wants to have $8,000 in 10 years. What must his principal be? Round your answer to the nearest cent. Do not round at any other point in the solving process; only round your answer.

Answers

Answer:

$5436.82

Step-by-step explanation:

8000 = P(1 + .039/2)^10*2

[tex]\frac{8000}{\left(1+\left(\frac{0.039}{2}\right)\right)^{20}}=5436.82538[/tex]

Solve the following.
2x^2-7x-4/6x^2+7x+2<0
Can someone explain how to solve this.

Answers

Answer:

Which one have same variable gather or decrease up

Step-by-step explanation:

2x^2-4.6x^2=1.4x^2

-7x+7x=0

1.4x^2+2<0

x<0

2. Distribute the -1
(6h + 4) - (2h - 3)

Answers

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

Name the relationship: complementary, linear pair, vertical, or adjacent.

Answers

Answer:

1. Supplementary and Linear pair, 2. Adjacent, 3. Adjacent, 4. Complementary and adjacent, 5, Vertical, 6. Adjacent

Step-by-step explanation:

1. is a Linear pair because the two angles form a straight line, this means they are also supplementary because the two angles must add up to 180 degrees which is a straight line.

2. Are adjacent angles, because they share a common side and do not share any interior points.

3. Are adjacent angles, because they share a common side and do not share any interior points.

4. These angles are complementary and adjacent. They both sum to 90 degrees which makes them complementary. They are also adjacent angles, because they share a common side and do not share any interior points.

5. These are vertical angles because they are opposite angles made by intersecting lines.

6. Are adjacent angles, because they share a common side and do not share any interior points.

Complete the following sentence.

A radius is________
the diameter.

Answers

Answer:

1/2

Step-by-step explanation:

The radius is 1/2 of the diameter

a radius is 1/2 the diameter

2 1/2 + 3 1/4 = ? pls

Answers

Answer:

5  [tex]\frac{3}{4}[/tex]    

Step-by-step explanation:

2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]

= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex]    Here we add the two whole numbers first

= 5 +  [tex]\frac{1}{2} + \frac{1}{4}[/tex]

= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex]      Here you bring the two fractions to a common denominator     and to to this you find the highest common factor of the denominators.

= 5 + [tex]\frac{3}{4}[/tex]       Here we added 1/4 and 2/4

= 5  [tex]\frac{3}{4}[/tex]    This is the answer simply add 5 and 3/4

HOPE THIS HELPED

Answer:

Step-by-step explanation:

Your answer is 5 3/4

rewrite the inequality with absolute value sign: a) -4<x<-1

Answers

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

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Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

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Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

Redacte tres propuestas de solución apoyados en las enseñanzas que nos da Jesús sobre la tolerancia, el respeto y la verdad.

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A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 224 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?

3 inches
7 inches
8 inches
4 inches

Answers

Answer:

4 inches.

Step-by-step explanation:

Let l = length, w = width, and h = height

    The formula for the volume of a rectangular solid would be V = lwh. We are tasked with finding the length of the delivery box. In order to find the length, we need to change the variables so that l is the only variable in the equation.

    The prompt tells us that the width of the box is 3 inches longer than the length. That means that w = l + 3. Likewise, the prompt also informs us that the height is 4 inches longer than the length. Therefore, h = l + 4.

    Now that the variables have been changed so that l is the only variable, we can finally solve for l.

[tex]V=lwh\\\\224=l(l+3)(l+4)\\\\224=l^3+7l^2+12l\\\\0=l^3+7l^2+12l-224\\\\0=(l-4)(l^2+11l+56)[/tex]

    After factoring, we are left with (l - 4)(l² + 11l + 56) = 0. Ultimately, by using the quadratic formula, l² + 11l + 56 = 0 will have imaginary number solutions. However, l - 4 = 0 gives us l = 4. Therefore, the length of the delivery box is 4 inches.

Answer:

4 inches

Step-by-step explanation:

just took test

m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!

Answers

[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]

Take n to left

[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]

Hence

if m=1

[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]

if n=1

[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]

I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money


Answers

Answer:

In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi­-marginal utility tells us the way how a consumer maximizes his total utilit

I need help as soon as possible.

Answers

What’s the question

i need help asap!! thank you, your help is really appreciated

Answers

It’s the first one

3(6)-1/2(6)+1

PLSSSS HELP ME WHOEVER ANSWERS CORRECTLY GETS BRAINLIEST!!!!
1. How would we name the polynomial below? Think about degree and number of terms.
x^4 + 3x^2 - x


2. Simplify by adding
(x + 4) + (2x + 7)


3. Multiply
3x^2(5x^3)


4. Divide
8x^3y^5 / 4x^2y^3

Answers

Answer:

This is what you asked me just now.

Step-by-step explanation:

write a function g whose graph represents a horizontal shrink by a factor of 1/2 of the graph f(x)= |2x| +4

Answers

The function g is:

[tex]g(x) = |4x| + 4[/tex]

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

Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).

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

In this question, the function is:

[tex]f(x) = |2x| + 4[/tex]

Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:

[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]

Thus, the function g is:

[tex]g(x) = |4x| + 4[/tex]

A similar question is given at https://brainly.com/question/20379647

Find a (Round to the nearest tenth). PLS HURRY!!

Answers

Answer:

a = 56.3°

Step-by-step explanation:

tan(a) = 9/6 = 1.5

atan(1.5) = 56.31°

Answer:

[tex]\boxed {\boxed {\sf 56.3 \textdegree}}[/tex]

Step-by-step explanation:

We are asked to find the measure of angle a.

This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:

sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacent

The side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.

[tex]tan \theta= \frac{ opposite}{adjacent}[/tex]

[tex]tan \ a = \frac{ 9}{6}[/tex]

Since we are solving for an angle measure, we use the inverse trigonometric function.

[tex]tan ^{-1} * tan \ a = tan ^{-1} * \frac{9}6}[/tex]

[tex]a= tan ^{-1} * \frac{9}6}[/tex]

[tex]a= 56.30993247[/tex]

Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.

[tex]a \approx 56.3[/tex]

The measure of angle a is approximately 56.3 degrees.

Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2

Answers

The answer would be D.

1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.

Answers

Answer:

5.56

Step-无by-step explanation:

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