Dado el número N = 4752a, averigua qué valor ha de tomar "a" para que: a) N sea divisible por tres. b) N sea divisible por cinco. c) N sea divisible por 15. d) Cuando se divida N por 7 dé de resto 5.

Answers

Answer 1

Answer:

I will answer it in English:

a) We have te number N = 4752a

if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.

Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a

and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9

b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.

c) we know that 15*3 = 45

then 15*3000= 45000

now we have:

4752a - 45000 = 252a

15*13 = 2520

then we have that a must be equal to zero, and:

15*(13 + 3000) =  47520

d) We want a number that when we divide it by 7, the surpass is 5.

a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.

in N = 4752x the unit is a, then we have:

D = 4752 - 2*x

now, let's choose a such we have a multiple of 7

we know that 5746 is a multiple of 7, so we can choose x= 3 and get:

D = 4752 - 2*3 =   5746  

So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.

Then when we divide N + 5 by 7, we will have a surpass of 7.

This is: N + 5 = 47528

This means that the actual value of a that we need is 8.


Related Questions

ASAP
Which graph shows Robby when he is: standing still, starts running and is speeding up and when he is at constant speed.

Answers

Answer:

first graph shows he is standing still

second one is he is at constant speed.

third one is starts running and is speeding up

hope it please pretty please mark brainliest

HELP ME PLEASE 15 POINTS

Answers

The maracas cost $14 per set, the claves cost $5 per set, and the drum cost $16. the product of a number and 3 is 21


In a school of 900 students, there are 360 boys and 540 girls. Which change would result in the greatest ratio of boys to girls?

A Increase of the number of girls by 100

G decrease the number by girls by 100

H increase the number of boys by 100

J decrease the number of boys by 100

Answers

Answer:

G decrease the girls by 100

Step-by-step explanation:

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of his commutes will be between 17 and 47 minutes?

Answers

Answer:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And we can find the nnumber of deviations from the mean for each limit given:

[tex] z_1 = \frac{17-32}{5} = -3[/tex]

[tex] z_2= \frac{47-32}{5} = 3[/tex]

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

[tex]X \sim N(32,5)[/tex]  

Where [tex]\mu=32[/tex] and [tex]\sigma=5[/tex]

We want to find this probability:

[tex]P(17<X<41)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And we can find the nnumber of deviations from the mean for each limit given:

[tex] z_1 = \frac{17-32}{5} = -3[/tex]

[tex] z_2= \frac{47-32}{5} = 3[/tex]

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Pleaaase helppp meee im being timedd please explain too and i will be marking brainliest thank u :)

Answers

Answer:

224 cubic in

Step-by-step explanation:

l*w*h / 3

12*14*4=672

672/3=224 cubic in

What's 49 to the power of 9, times 10 divided by 7 equal???

Answers

Answer:

2.32630514 x 10^15

Step-by-step explanation:

What is the surface area for this?

Answers

It is 6 sq. units. I hope you do well. Have a wonderful day.

Two positive integers have a product of 18.
One integer is twice the other. What are the
integers?

Answers

Answer: 3,6

Step-by-step explanation:

Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability that tony will flip a coin and get heads three times in a row

Answers

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

By mistake, you added salt instead of sugar to the
oil. How can you remove the salt?

Answers

Answer: Evaporate the water by boiling it in a pot with a lid or another container. This separates both substances as the boiling point for water is much lower than salt, this method is called simple distillation.

Answer:

Salt is ionic, and oil is covalent. If you add water, the salt will dissolve in the water, and the oil will float to the top. You could then skim the oil and start over with sugar. To double-check, you could even make sure the oil does not conduct electricity!

Step-by-step explanation:

How many inches are in 3 feet

Answers

36 inches are in 3 feet

Answer:

36 inches.

Step-by-step explanation:

The volume of a rectangular prism is represented by the function x^3+9x+6x-16.The length of the box is x+2, while the height is x+8. Find the expression representing the width of the box

Answers

Answer:

Width = (x -1)

Step-by-step explanation:

Volume of rectangular prism = x³ + 9x² + 6x - 16

length * height *width =  x³ + 9x² + 6x - 16

(x + 2)(x + 8 )* width = x³ + 9x² + 6x - 16

I only need e f g done!!! WIll give brainliest!!

Answers

Answer:

E) the new price is going to be $3.92

  Work: 3.50 × 12 / 100 = 0.42

             3.50 + 0.42 = 3.92

F) Dont understand what this one is asking

G) You would save 1.03$ with the 10% off.

  Work: 10.3 x 10 / 100

              103 / 100

             $1.03

hope this helps

Select the correct answer.
What is credit?
A.
an arrangement in which you receive money, goods, or services now in exchange for the promise of payment later
B.
an arrangement in which you receive goods or services in exchange for other goods and services
C.
an arrangement in which you receive money now and pay it back later with fees
I need the answer ASAP!!!! A.K.A. Right Now:(

Answers

Answer:

ypur answer would be a.

Credit is an arrangement where goods, services, or money are provided in the present with the promise of future payment, typically going into debt.

Credit is an arrangement where you receive money, goods, or services now and agree to pay for them later. This includes transactions with a credit card, where you obtain a good or service without immediate payment, but with a promise to pay the credit card company later, often with interest. Credit transactions essentially involve going into debt, as they create an obligation to pay in the future.

Choosing the correct answer from the provided options:

An arrangement in which you receive money, goods, or services now in exchange for the promise of payment later.

An arrangement in which you receive goods or services in exchange for other goods and services.

An arrangement in which you receive money now and pay it back later with fees.

The correct answer would be (A) since it entails receiving money, goods, or services now with the promise of payment at a later date, which matches the definition of a credit transaction.

Jana is ordering a list of numbers from least to greatest.

StartRoot 7 squared EndRoot, StartRoot 7 EndRoot, Four-fifths, StartRoot 0.8 EndRoot, (StartRoot 5 EndRoot) Squared

Which statement can be used to create her list?

A: StartRoot 0.8 EndRoot is less than Four-fifths because 0.8 = four-fifths and the square root of a number less than 1 is less than the number itself.
B: StartRoot 7 EndRoot is greater than StartRoot 7 squared EndRoot because StartRoot 7 squared EndRoot = 7 and the square root of a number greater than 1 is greater than the number itself.
C: (StartRoot 5 EndRoot) squaredis less than StartRoot 7 EndRoot because (StartRoot 5 EndRoot) squared = 5 and StartRoot 7 EndRoot is between 6 and 8.
D: StartRoot 7 EndRoot is greater than Four-fifths because Four-fifths is less than 1 and the square root of a number greater than 1 is greater than 1.

Answers

Answer:

The correct option is D

Step-by-step explanation:

The given numbers are

√(7²), √7, 4/5, √0.8, (√5)²

Now, let us check their real values.

√(7²) = 7

√7 ≈ 2.646

4/5 = 0.8

√0.8 ≈ 0.894

(√5)² = 5

Now, checking the options,

A doesn't apply

B doesn't appy

C doesn't apply

D applies because √7 = 2.646 is greater than 4/5 = 0.8 because 4/5 is less than 1 and the square root of a number greater than 1 is greater than 1.

What does 6 - 6 + 3 =

Answers

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

6 - 6 + 3

0 + 3

3

In matrix T how many minutes did caller 3 spend calling caller 4?

Answers

Answer:

52

Step-by-step explanation:

Did it on edge.

Answer:

52

the next one is 63 minutes

thank me later

What is the probability that a data value in a normal distribution is between a z-score of -0.28 and a z-score of 0.64? Round your answer to the nearest tenth of a percent. A. 90.9% B. 58.1% C. 34.9% D. 73.3%

Answers

Answer:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

Step-by-step explanation:

For this case we want this probability:

[tex] P(-0.28 <Z< 0.64)[/tex]

And we can find this probability using the normal standard distribution and with the following difference:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

If we find the individual probabilities we got:

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

The probability of a value falling between z-scores of -0.28 and 0.64 in a normal distribution is found by taking the cumulative area under the standard normal curve for each z-score and calculating their difference, which results in approximately 34.9% after rounding. Thus, the correct answer to the student's question is option C) 34.9%.

The question addresses the calculation of probabilities for specific ranges of z-scores in a normal distribution. To find the probability that a data value is between a z-score of -0.28 and a z-score of 0.64, we need to look at the standard normal distribution table or use a statistical software that provides the cumulative area up to these z-scores.

The probability of a value being less than z = 0.64 is P(Z < 0.64). According to the z-table, this probability is approximately 0.7389. Similarly, the probability of a value being greater than z = -0.28 (which is equivalent to less than due to symmetry) can be found as 1 - P(Z < -0.28), which, when referred to a z-table, gives a value of about 0.6103. Therefore, the total probability of a value being between z = -0.28 and z = 0.64 is the difference between these two probabilities, 0.7389 - (1 - 0.6103) = 0.3492 or 34.92%.

However, this value needs to be rounded to the nearest tenth of a percent, which yields 34.9%. So the correct answer is C. 34.9%.

Drag each number to the correct location on the equation. Not all numbers will be used.
ABC and RST are similar and have the same orientation. The hypotenuse of RST is on the same line as the hypotenuse of ABC and is twice the length of AB.



What is the equation of the line that contains the hypotenuse of RST?


-18
9
3
-6
-3

-9
6
18

Answers

Answer:

The equation of the hypotenuse line is y = -3·x + 9

Therefore, the correct options are -3 and 9

Step-by-step explanation:

The question asks to fill the boxes

y = _ x + _

We note that the equation is that of a straight line of the form;

y = m·x + c

Where:

m = Slope of the straight line graph and

c = Y intercept, that is the y-coordinate of the point on the line where x = 0

From the graph, we find the slope as follows;

[tex]Slope = \frac{y_2 - y_1}{x_2 -x_1} = \frac{(-9) -0}{6-3} = -3[/tex]

Therefore, m = -3

The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;

From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9

Hence we have, the equation of the hypotenuse line is y = -3·x + 9.

Answer:

y = -3x + 9

Step-by-step explanation:

Have a good day.

What is the scale factor?
1
1.25
2
2.5

Answers

Answer:

2

Step-by-step explanation:

The scale factor represented her is 2.  You are going from 1 to 2, so multiply by two.

You are also going from 1.25 to 2.5, so multiply this by 2 as well.

A scale factor tells us how many time greater a measurement gets.

3. How much would $900
invested at 6% interest
compounded continuously
be worth after 4 years?

Answers

Answer: $1,144.12

Step-by-step explanation:

Find 1/5 divided by 1/2.

Answers

Answer:

2/5

Step-by-step explanation:

Flip the second fraction, change the divide to multiply, and simplify:

(1/5)/(1/2) = (1/5) x (2/1) = 2/5

2/5 is your answer.

~

Answer:

2/5

Step-by-step explanation:

1/5 divided by 1/2

there is this thing called KFC to find the answer

KFC: keep flip change

u keep the first number which is 1/5

then flip division to multiplication

1/5 times 1/2

then change 1/2 to 2/1

1/5 times 2/1 = 2/5

Which expression is equivalent to [tex]\sqrt128x^{8} y^{3} z^{9}[/tex]? Assume [tex]y\geq 0[/tex] and [tex]z\geq 0[/tex].

A - [tex]2x^{2} z^{2} \sqrt8y^{3} z[/tex]

B - [tex]4x^{2} yz^{3}\sqrt 2x^{2}[/tex]

C - [tex]8x^{4} yz^{4} \sqrt2yz[/tex]

D - [tex]64x^{4}yz^{4} \sqrt2yz[/tex]

Answers

Answer:

[tex](C)8x^4z^4\sqrt{2yz}[/tex]

Step-by-step explanation:

We want to determine an expression equivalent to: [tex]\sqrt{128x^8y^3z^9}[/tex]

[tex]\sqrt{ab} =\sqrt{a}*\sqrt{b}[/tex]

Therefore:

[tex]\sqrt{128x^8y^3z^9}=\sqrt{128}*\sqrt{x^8}*\sqrt{y^3}*\sqrt{z^9}[/tex]

[tex]=\sqrt{64*2}*\sqrt{x^{4*2}}*\sqrt{y^{2+1}}*\sqrt{z^{8+1}}\\=8\sqrt{2}*\sqrt{x^{4*2}}*\sqrt{y^2*y}*\sqrt{z^{8}*z}}[/tex]

[tex]=8\sqrt{2}*x^4*y \sqrt{y}*z^4\sqrt{z}\\=8*x^4*z^4*\sqrt{2}*\sqrt{y}*\sqrt{z}\\=8x^4z^4\sqrt{2yz}[/tex]

Answer:

C on edge2020.

Step-by-step explanation:

Trust me on this one.

:D

you deposit $300 in a savings account the accounts earns 12% simple interest per year what is the interest and balance earned at 6 years

Answers

Answer:

$516, interest earned is $216

Step-by-step explanation:

12% of 300 is 36

36y+300, y is years

36(6)+300=516

please help me out on this , thank you!

Answers

diameter: QU

radius: TV

chord: RS

d) 2 units

Answer:

a) Diameter: UQ

b) Radius: VT

c) Chord: SR

d) 2

Step-by-step explanation:

Solve the inequality. Graph the solution.

w+6≤−3

Answers

Answer: w<-9 With the line underneath

Step-by-step explanation:

Pls helpppp !!!! Giving 12 points for answer

Answers

Hi I believe the answer is B!!!!!!

Answer:

b. 15 x 20

Step-by-step explanation:

Geometry | Surface Area | Need Help On One!

Answers

Answer: the answer is ccc

Step-by-step explanation: hey

Find the value of x below

Answers

Answer: should be 21

Step-by-step explanation:

Answer: 21

Explanation: 90 minus 27 equals 63. 63 divided by 3 is 21.

Which trait different among the species of that animal

Answers

Answer:

beak

Step-by-step explanation: did the edg

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