Whole numbers that go one after another are called consecutive numbers. If you add 4 consecutive numbers, you get the smallest of these numbers multiplied by 5. What is this smallest number?

Answers

Answer 1

Answer:

The smallest number be 6.

Step-by-step explanation:

Let the 4 consecutive numbers be :

n,n+1,n+2,n+3 where n is the smallest number

Adding up the 4 consecutive numbers, we get :

n+n+1+n+2+n+3 = 4n+6

ATQ,

4n+6 = 5n

Taking like terms together,

6=5n-4n

⇒ n = 6

So, the smallest number be 6.


Related Questions

Which number is a prime number? (1 point) 9 15 19 22

Answers

Answer:

The only prime number is 19

Choose bank, credit union, or both for each statement below:
Must be part of a specific member group to join
Profits are given to shareholders
Offer checking and savings accounts, CDs, loans
Deposits are insured up to $250,000
Fees tend to be higher
Interest customers earn on deposits tends to be higher

Answers

Answer:

Must be part of a specific member group to join . - CREDIT UNION.

Credit Unions require that you are a member of a member group to join as well as other entry requirements unlike a bank where the qualification rules are less stringent.

Profits are given to shareholders . - BANK.

A Bank is owned by its investors and shareholders so they will have to distribute profits to them unlike a Credit Union that is owned by its members.

Offer checking and savings accounts, CDs, loans . BOTH.

Both Credit Unions offer these financial products and accounts.

Deposits are insured up to $250,000  - BOTH.

Both of these types of Institutions are insured up to $250,000 by the United States Governments. Credit Unions are insured by the National Credit Union Share Insurance Fund (NCUSIF) and banks are insured by the FDIC (Federal Deposit Insurance Corporation).

Fees tend to be higher . BANKS.

Banks are for profit institutions so they will charge higher fees to make more profit for their investors.

Interest customers earn on deposits tends to be higher. - CREDIT UNIONS.

Credit Unions earn higher deposit interest for customers because they are not-for-profit so do not have to offer less rates to keep more money for their investors.

Bank, credit union, or both have been for each of the statements below:

Credit Union: Must be part of a specific member group to join. Banks: Profits are given to shareholders. Both: Offer checking and savings accounts, CDs, loans. Both: Deposits are insured up to $250,000. Banks: Fees tend to be higher. Credit Unions: Interest customers earn on deposits tends to be higher.

Meaning of Banks and Credit Union

Banks are financial institutions that have licenses to accept deposits from customers and provide loans when the conditions are met.

Credit Unions, on the other hand, are not operated for the purpose of making profits. They are formed by members who hold an agreement and their methods of operation are similar to the commercial banks.

In the given points above the similarities and differences between these two financial institutions are shown.

Learn more about Banks here:

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x <-8
Graph the inequality

Answers

Answer:

<--------

<----|---|---|---|---|---|---|----------

   -9 -8 -7 -6 -5 -4 -3

Step-by-step explanation:

7. Given b= 4, c = 10, and A = 34 degrees, use the Law of Cosines to solve for a. Round your answer to the nearest whole number.

8. Given a = 11, C = 131 degrees, and b = 8, use the Law of Cosines to solve for c. Round your answer to the nearest tenth.

9. Given c = 9.6, b = 5.9, and a = 10.5, use the Law of Cosines to solve for C. Round your answer to the nearest degree.

Answers

Answer:  (7) 7.0              (8) 17.3            (9) 64.7°

Step-by-step explanation:

Law of Cosines is: a² = b² + c² - 2bc · cos A

                         or: b² = a² + c² - 2ac · cos B

                         or: c² = a² + b² - 2ab · cos C

7) b = 4, c = 10, ∠A = 34

a² = b² + c² - 2bc · cos A

   = 4² + 10² - 2(4)(10) · cos 34°

   = 16 + 100 - 80 (0.829)

   = 116 - 66.323

   = 49.677

a = [tex]\sqrt{49.677}[/tex]

a = 7.0

8) a = 11, b = 8, ∠C = 131

c² = a² + b² - 2ab · cos C

   = 11² + 8² - 2(11)(8) · cos 131°

   = 121 + 64 - 176 (-0.656)

   = 185 + 115

   = 300

c = [tex]\sqrt{300}[/tex]

c = 17.3

9) a = 10.5, b = 5.9, c = 9.6

9.6² = 10.5² + 5.9² - 2(10.5)(5.9) · cos C

92.16 = 110.25 + 34.81 - 2(10.5)(5.9) · cos C

92.16 = 145.06 - 123.9 cos C

-52.9 = -123.9 cos C

0.427 = cos C

cos⁻¹ (0.427) = C

64.7° = C

Answer:

Answer:

A.

B.

C.

Step-by-step explanation:

We have been given inverse trigonometric functions. We are asked to find the value of each function.

A.

We will use inverse sin to solve our given equation as:

Round to nearest degree:

B.

We will use inverse tann to solve our given equation as:

Round to nearest degree:

C.

We will use inverse cosine to solve our given equation as:

Round to nearest degree:

Step-by-step explanation:

What is the correct interpretation of the probability of getting an 11 when a pair of dice is rolled? Interpret an event as significant if its probability is less than or equal to 0.05.

Answers

Answer:

1/18

Step-by-step explanation:

We are considering that we have 2 dices with 6 faces each (so, the probability to getting any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:

Dice 1= 6 and Dice 2 =5 or Dice 1= 5 and Dice 2 =6

So, the probability of the event is given as:

P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).

So im really bad at multiplying, add, subtracting fractions could someone tell me how? -bewuga

Answers

Answer:

just make denominator same by multiplying on numerator and denominator simple and do add or subtract

Finding the slope intercept form of the line passing through the point ( 7,-2 ) and parallel to the line

Answers

Answer:

y = -8x + 54

Step-by-step explanation:

Since the lines are parallel, their slopes are the same, leaving you with y = -8x.

That equation at x = 7 would make y -56, but we want it to be -2. Therefore we add a 54 in the end, leaving you with y = -8x + 54.

I hope this helped.

The graph of y = f ′(x), the derivative of f(x), is shown below. List the intervals where the graph of f is concave down.
(–4, –2) U (2, 4)
(–2, 2)
(–4, 0)
(0, 4)

Answers

Answer:

  (a) (–4, –2) U (2, 4)

Step-by-step explanation:

A graph is concave down where its second derivative is negative. That will be where the slope of the first derivative is negative.

Your graph shows the first derivative has negative slope at the left and right ends. The function f(x) will be concave downward on those intervals:

  (–4, –2) U (2, 4)

Pick which graph satisfies the given conditions.
Degree 5 with 1 x-intercept and a positive leading coefficient.

Answers

Answer:

graph c.

Step-by-step explanation:

it has 5 degrees and it does a 80 angle.

Payton bought new headphones originally listed for $90.99. They are 25% off. Which equation can be used to find the amount Payton will save?

Answers

Answer:

90.99x25/100

Step-by-step explanation:

or 90.99x25%

When stacys son Kevin solves the problem

Answers

Answer:

,,,,,,,,,,,,,,mmmmmmmm

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

At a local ice cream shop, customers pay a set price for a regular ice cream, plus an additional charge per topping ordered. A regular ice cream with 2 toppings would cost $4.50, and a regular ice cream with 4 toppings would cost $6.00. What two ordered pairs could you make out of this situation?

Answers

(2, 4.50) (4, 6.00) are the two ordered pairs

Round 7.788 to the nearest hundredth.

Answers

Answer:

7.79

Step-by-step explanation:

A hundredth is the second number after the decimal. For example, in the number 100.234, the "3" would be the hundredth, the "2" would be the tenth, and the "4" would be the thousandth.

To round to the nearest hundredth, you have to look at the thousandth because when rounding, you look at the next number to decide whether to round up or down.

Since 8 is in the thousandth place in this question, and 8 is bigger than 5, you round up. So, you round the "8" in the hundredths place up to 9.

Therefore, you get 7.79.

please help me with this question! thank you :)

Answers

Answer:

[tex]2 + 2 = 0[/tex]

Step-by-step explanation:

It's easy you are

kid‍♂️‍♂️‍♂️

A driver averages 42 miles per hour and took 15 hours to travel between two cities what is the distance between the two cities

Answers

Answer:

The distence bettween the two cities is 630miles

Step-by-step explanation:

So you take 42 and multiply it by 15 and you get 630.

Your friend has a bag of marbles. Your friend says that there is a 100% chance that you pick out a red marble and a 0% chance that you pick a green one.

What can you conclude about the colors of the marbles inside of your friend's bag?
Can you determine exactly how many marbles are in the bag? Why or why not?

Answers

Answer:

1. They are all red. 2. There is no possible way to come to a conclusion

Step-by-step explanation:

If there is a 100% chance you will draw a red marble, they all have to be red or it would not be a 100% chance.

We can't conclude how many marbles are in the bag because the question states nothing about how many marbles there are.

mikes deli just sold 328 ham sandwiches this week. around how many ham sandwiches did mike sold every day this week?

Answers

Answer:

46.9

Step-by-step explanation:

328/7 = 46.9

To double check: 46.9 x 7 = 328

Have an amazing day!!

PLEASE RATE!!

how do i graph 3/2 on the number line?

Answers

Answer:

by drawing a number line then simpifly 3/2 than mark it down

Step-by-step explanation:

find the simple interest for Rs 500 in 3 years at rate of 10% per year find it with solution​

Answers

Principle=P=500Time=T=3yrsRate of interest=10%

Interest be I

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{500(3)(10)}{100}[/tex]

[tex]\\ \sf\longmapsto I=5(30)[/tex]

[tex]\\ \sf\longmapsto I=Rs.150[/tex]

what is the product of 3/4 and -6/7 ?​

Answers

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

Answer:

-18/28 which simplifies to -9/14

Step-by-step explanation:

21. A store display will have 6 rows, with 12 containers in each row.
If 39 containers has been set up so far, explain how to find the
number of containers that still need to be set up. Then solve the
problem.

Answers

It should be 39 containers, I’m not sure though

7. Which of the following is true about the set of all solutions for f(x) = 4x?
Select all that apply.
A. It is continuous,
B. It is linear
C. It is exponential
D. The point (1,4) falls on the graph,
E. The point (4,0) falls on the graph,

Answers

Answer:

B.It is linear 180=3x2+24x+36

Step-by-step explanation:

The answer would be c

why does it take more cubes with 1 3 unit side lengths to fill the prism than it does with cubes with 1 2 unit side lengths

Answers

Answer:

It takes 135 of the 1/3 unit cubes to fill the prism. How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths? There are 27 cubes with 1/3 unit side lengths in 1 cubic unit

Answer:

Below.

Step-by-step explanation:

1x3 side lengths consists of 3 cubes. 1 by 2 side length consists of 2 cubes. 3 >2

I need explain in this one please and i need the answers

Answers

Check the picture below.

the cost of dog food varies directly with the number of pounds bought. if 2 lb of dog food cost $5 find the cost of 5 lbs.

A 2.50
B 5.00
C 10.00
D 12.50​

Answers

Answer:

Step-by-step explanation:

Evaluate the answers, and then you can maybe replace 2 with a variable until you find the cost of 5lbs

12.50 just multiply

The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in miles.
29; 32; 38; 40; 58; 67; 68; 69; 76; 81; 85; 95; 96; 96; 99; 106; 112; 127; 145; 150
Find the value that is one standard deviation below the mean. (Round your answer to one decimal place.)

Please help!!!!

Answers

Mean = sum of all numbers / 20 = 1669 / 20 = 83.45

Standard deviation = 7.86

Z-score = -1

So...

Z = (x - mean) / standard deviation

x = Z * standard deviation + mean = -1 * 7.86 + 83.45 = 75.59

Rounded: 75.6

cual es la raiz cuadrada de 64???

Answers

Hey there! Hola!

Let's find the square root of 64:

[tex]\sqrt{64}[/tex]

Basically, what number times itself equals 64? that's the answer.

That number is 8.

Hence, the square root of 64 is 8.

La raiz cuadrada de 64 es 8.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\tt{Amiable}[/tex]

Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.

Answers

Okay, I am going to answer this question personally.

Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.

(a) How many ways can this be done, if the order of the choices is taken into consideration?  

(b) How many ways can this be done, if the order of the choices is not taken into consideration?

Answer

(a) 6 choices

(b) 3 Choices

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking  the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as   and the remove the duplicates

Therefore, choices are 3 Choices

Consider giving Brainliest, please.

Subtract 3 2/5 from 5 3/4

Answers

Answer:

[tex]-2\frac{7}{20}[/tex]

Step-by-step explanation:

Given the following question:

[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]

To find the answer we first need to convert the mixed numbers into improper fractions, find the common denominator, subtract the denominators, and of course convert the improper fraction back into a mixed number.

[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
[tex]3\frac{2}{5}=5\times3=15+2=17=\frac{17}{5}[/tex]
[tex]5\frac{3}{4} =4\times5=20+3=23=\frac{23}{4}[/tex]
[tex]\frac{17}{5} -\frac{23}{4}[/tex]

Find the common denominator:
[tex]CD=20[/tex]
[tex]\frac{17}{5} \times4=\frac{68}{20}[/tex]
[tex]\frac{23}{4} \times5=\frac{115}{20}[/tex]
[tex]\frac{68}{20} -\frac{115}{20}[/tex]
[tex]68-115=-47=-\frac{47}{20}[/tex]
[tex]=-\frac{47}{20}[/tex]

Convert the improper fraction into a mixed number:
[tex]-\frac{48}{20}[/tex]
[tex]-\frac{47}{20} =47\div20=-2\frac{7}{20}[/tex]
[tex]=-2\frac{7}{20}[/tex]

Your answer is "-2 7/20."

Hope this helps.

[tex]2\frac{7}{20}[/tex] is the mixed number we get by subtracting  [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex].

To subtract [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex], we first need to convert both mixed numbers to improper fractions.

[tex]5\frac{3}{4}[/tex] = (4 × 5 + 3) / 4 = 23/4

[tex]3\frac{2}{5}[/tex] = (5 × 3 + 2) / 5 = 17/5

Now we can subtract the two fractions:

23/4 - 17/5

To subtract fractions, we need to have a common denominator.

The common denominator for 4 and 5 is 20.

We'll convert both fractions to have a denominator of 20:

23/4 = (23 × 5) / (4 × 5) = 115/20

17/5 = (17 × 4) / (5 × 4) = 68/20

Now we can subtract the fractions:

115/20 - 68/20

= (115 - 68) / 20

= 47/20

=[tex]2\frac{7}{20}[/tex]

To learn more on Fractions click:

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The average of 6, 10, x, 20 and 30 is 18. What is the value of x.​

Answers

Answer:

24

Step-by-step explanation:

just multiply 5 times 18 and gives u 90 and then add all the other numbers and het 66 90 m-66=24 all that added equals 90 90 divided by 5 is 18

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