The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!

Answers

Answer 1

Answer:

20258. The missing digit is a 5

Step-by-step explanation:

Ok, let's write the number in a more creative way.  That's [tex]21 000 - 700 = 20 300[/tex],  minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).

That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]

In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.

Answer 2

I agree with the other person. The answer is 5.

Here's how we can check to see if a number is divisible by 7.

Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.

If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.

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

Let's use those steps to see if 20,258 is a multiple of 7

Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009

It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.

Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182

Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.

Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14

The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.

Notes:

182 = 26*72009 = 287*720258 = 2894*7

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

We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.

Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007

Repeat the steps until we get something more manageable

Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186

Let's do one more round

Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6

The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.

If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.

186/7=26.57 2007/7=286.71 20259/7=2894.14

This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.


Related Questions

How to factor a polynomial with a degree of 4.

Answers

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used on a 1-topping pizza. The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).

A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).

This sample space shows all the types of 1-topping pizzas. Which outcomes in this sample space show the types of pizza the customer may order?

Select all correct outcomes

Answers

Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}

The sample space is the set that contains all possible outcomes.

In this problem:

The pizza is large or medium, hence the first letter has to be M or L.The topping is any except pepperoni, hence, the second letter is G, H or O.

Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}

A similar problem is given at https://brainly.com/question/14798120

Please need help 100 points

Answers

Answer:

(29/37)-(48/37i)

Step-by-step explanation:

Use complex arithmetic rule:

a+bi/c+di = [(c-di)(a+bi)/(c-di)(c+di)] =[(ac+bd)+(bc-ad)i]/c^2+d^2

To get: (29-48i)/37

Then rewrite it in standard complex form to get your answer.

Hope that helps!

(29/37)-(48/37i) is the answer !!

The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.​

Answers

Step-by-step explanation:

4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%

the rate of change is _____ inches of growth per week​

Answers

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

how what is 3/56 as a percentage​

Answers

5.4% rounded up to 1 decimal point

Answer:

5.4% rounded to the tenths place.

Reasoning:

To convert 3/56 to a percentage, multiply the decimal version of 3/56 by 100.

Estimated, 3/56 as a percentage is 5.4%

How to solve absolute value inequalities khan academy.

Answers

Answer:

Step-by-step explanation:

I cant even see anything can you reupload your answer, please?

please help me out yall!!​

Answers

Answer:

c

Step-by-step explanation:

A small business has 50 total employees, 15 of which are full-time. What percent of the employees are part-time?

Answers

Answer:

70%

Step-by-step explanation:

50-15 =35

35/50 = 70/100

Corey concluded that the remainder of (3x3 + 8x2 - 4x - 3) + (x + 2) is 45.
What error did he make?

Answers

Answer:

-8

Step-by-step explanation:

3×3=9+

8×2=16=

(9+16_4×-3)+(×

100 POINTS IF U GET DIS RIGHT!

Answers

Answer:

[tex]- \frac{3}{5}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

m = slope = [tex]-\frac{3}{5}[/tex]

x = (x , y)

b = y-intercept = [tex]- \frac{7}{9}[/tex]

With this given information, your slope will be [tex]-\frac{3}{5}[/tex]

Answer:

-3/5

Step-by-step explanation:

The answer is -3/5 I think

what equations are equivalent to 60% of 25

Answers

Step-by-step explanation:

Since,

[tex]60\%25 = 15[/tex]

Another equation that equals 15 is

[tex]25 \times 0.6 = 15[/tex]

You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left? please answer the question without a link

Answers

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

B. Complete the missing factors of the following polynomials.



5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )



6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )

CAN SOMEONE HELP ME, PLEASE.​

Answers

5) i dont know
6) (6x-5)(3x-4)

What is the mass of 64 mL of a liquid with a
density of 2.7 g/mL?

Answers

Answer:

172.8

Step-by-step explanation:

to get density its mass over volume so if you mutiply volume by density you get the mass

help with this question

Answers

Answer:

Step-by-step explanation:

Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1

Answers

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

Keisha bought seventy-two trading cards for her and her eleven friends. If Keisha and her friends get an equal amount, how many cards does each person receive?

Answers

Answer: 6

Step-by-step explanation: You might think the answer is 72/11 but you must realize that keisha counts as a person too. Thus, the answer is 72/12 or 6 cards for each person :)

Would appreciate brainly <3

given:

72 trading cards

11 friends

to find:

how many cards each of her friend receives.

solution:

[tex] \frac{72}{11} [/tex]

[tex] = 6.5454545455[/tex]

[tex]nearest \: whole \: number = 7[/tex]

so, approximately each of her friend will get 7 cards.

answer= option C

Hello.My question is......what are my chances of rolling a 4 when i throw a dice if i rollo it two times?

Answers

Answer:

Step-by-step explanation:

3

Answer:

1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4

Step-by-step explanation:

Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)

Answers

Answer:

  27 miles

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...

  180° -50° -70° = 60°

Then the distance c can be found from ...

  c^2 = a^2 +b^2 -2ab·cos(C)

  c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732

  c = √732 ≈ 27.055

The boats are 27 miles apart after 1 hour.

Please solve: 6x - y = -1

Answers

Answer:

y=6x-1

Step-by-step explanation:

6x - y = -1

-y = -1 -6x

y = 6x+1

Answer:

y = 6x + 1

Step-by-step explanation:

hope it helps

should I show steps?

A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters? ​

Answers

Answer:

you didnt give any options

Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.

Answers

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower bound

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

whats is 89 x 98789 =
please help me asap please

Answers

Answer:

8792221

Step-by-step explanation:

89 x 98789 = 8792221

8792221 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

At a craft fair, Emily sold paper flowers for $0.55 each. She sold
48 flowers. How much money did she make?

Answers

Answer:

$26.40

Step-by-step explanation:

Answer:

$26.40

Step-by-step explanation:

1 paper flower=$0.55

Therefore,48 paper flowers=?

cross multiplying,we have 0.55×48=$26.40

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Answers

Answer: $30,800

Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.

Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?

Answers

Step-by-step explanation:

[tex]a)[/tex]

[tex]4+5=9 (parts)[/tex]

[tex]b)[/tex]  our total is [tex]9[/tex] our boys are [tex]4\\[/tex]

our fraction is [tex]^4/_9[/tex]

[tex]c)[/tex]    [tex]^5/_9[/tex]

[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]

so we double [tex]4[/tex] which equals [tex]8[/tex]

[tex]^8/_{18}[/tex]

[tex]e)[/tex] [tex]^{10}/_{18}[/tex]

Brainliest please

Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?

Answers

52 divided by 13=4
4x9=36
He saved $36

Answer:

$36

Step-by-step explanation:

$13 babysitting, $9 saved.

$52 babysitting, $x saved.

Cross multiply

13/13x=468/13

Divide both sides by 13

x=$36

How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution​

Answers

Answer:

c. infinitely many solutions

please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing

Answers

Answer:

if it's bot raining, then it's sunny

Other Questions
simplify 5(8+36) I cant figure this problem out can someone help me? Write and answer the following in your answer sheet. package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents? Someone pls pls pls help ASAP Ill give brainliest I promise just pls help me in his raid on harpers ferry, john brown intended to The anti-Federalists lost and the Constitution was eventually adopted by the 13 states. However, many scholars argue that the anti-Federalists were still successful in defeat. How did the anti-Federalists still "win" ? The __________ fallacy occurs when an arguer appeals to a person's desire to be popular, accepted, or valued, rather than to logically relevant reasons or evidence. Many Supreme Court judges who opposed Roosevelt's policies believed the New Deal was history Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) . 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest! whoever answers ets brainliest, 5 stars, and a thanks. pls help asap!evaluate: (5/6 + 2/3) - (3/4 + 1/12)answer as a fraction in simplest form Analyze the purposes of map projections (political, physical, special purpose) and explain the applications of various types of maps.Use the map below to answer the following question: Aztec civilization is shaded in pink in mid Latin America, spanning from the east to west coasts, bordered by the Pacific Ocean and the Gulf of Mexico. The Maya civilization is shaded in purple, just south of the Aztec area, with coastline on the Pacific Ocean, the Gulf of Mexico, and the Caribbean Sea. The Inca civilization is on the west coast of South America, spanning a large area along the coast of the Pacific Ocean. 2012 The Exploration CompanyWhat category does this map fall into? It is a political map because it shows which early American civilization was more important than the others. It is a political map because it shows the location and capital cities of early American civilizations. It is a physical map because it shows the continents and bodies of water of Central and South America. It is a physical map because it shows why the early American civilizations were located where they were. Pedestrians, bicyclists, and skateboarders _____ the rules of right-of-way when they use the road. IV medications are mixed and dissolved in a solution and given by IV __________, or slow drip, into a vein. Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!2^202.2^92^10 22^-2 2^11(2.2.2.2.2).(2.2.2.2) how do sugars from cyclic hemiacetals Calculate the weight of an object that displaces 3 m2 of water and exerts a pressure of 500 Pa (500 N/m ). A system which allows both mass and energy to flow into the surroundings is called Qu factores posibilitaron el dominio espaol en territorio indgena?doy corona Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla? Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paidfor each job. Tim gets $12 for mowing lawn, $9 for washing cars, and $7 for walking dogs. Tim owes his mother $23. What possible combination of jobs could Tim perform to earn enough money to pay back his mother? Write an addition equation using integers to represent thesituation. Will he have money left over? Select the correct choice below and fill in the answer boxes to complete your choice.