Find all whole numbers m such that m and 5m+1 are prime numbers.

Answers

Answer 1

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.


Related Questions

How long will it take an investment to double in value if the interest rate is 6% compounded continuously

Answers

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.

read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!

which equation represents the problem?

3x -3 =45

3x = 45 + 3

3 + 3x = 45

3 = 45 + 3x



Now Recipes?

x= 13

x= 15

x= 16

x= 14

Answers

Answer:

3 + 3x = 45 ; x = 14

Step-by-step explanation:

45 = 3x + 3 ⇒ x = 14

hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.

Answers

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

Graph a line with a slope of 4 that contains the point (3,0).

Answers

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

Learn more,

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Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?

Answers

Answer:

Whats a kayak?

Step-by-step explanation:

Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg​

Answers

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

What’s a rationale number ?

Answers

Answer:

A Rational Number can be made by dividing two integers.

(An integer is a number with no fractional part.)

Step-by-step explanation:

Answer:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Step-by-step explanation:

Hope this helps. :D

what is the estimate product of 33 and 76

Answers

33 multiplied by 76 is 2,508.

Estimation is ~2,500.

Solve -3(5x-9) please

Answers

Answer:

12

Step-by-step explanation:

Pythagoras was born about 582 BC. Isaac Newton was born in 1643
AD. How many years apart were they born.?

Answers

Answer:

2225

Step-by-step explanation:

1643 A.D. years plus 582 B.C. years in between the births

7 1/5 ÷ 8/1 in simplest form?

Answers

Answer:

9/10 (Decimal: 0.9)

Step-by-step explanation:

7 1/5 ÷ 8 = 9/10

(Decimal: 0.9)

The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?

Answers

Answer:

(0,0) means that he didn't buy any apples so it doesn't cost anything

Step-by-step explanation:

What division problem can be represented using the number line?

A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction

Answers

Answer:

It's the first answer.

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Using the dimensions indicated on the drawing, what is the total area of the new room?

Answers

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

Learn more about scale factor here:

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Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2

Answers

Answer:

A-F parallel to B-D

B-A parallel to D-F

B-F parallel to C-E

Step-by-step explanation:

Line segment A-F is parallel to B-D

Line segment B-A is parallel to D-F

Line segment B-F is parallel to C-E

Use benchmark values to estimate 7/10 + 7/8.​

Answers

Answer:

1.575

Step-by-step explanation:

learning task 1: identify similar and dissmilar fractions . on your notebook write S if the fractions are similar and D if dissmilar 1. 2/3 and 1/3​

Answers

Answer:

"S" (similar fractions)

Step-by-step explanation:

Since "similar fraction" are those with the same denominator, in our case, since 2/3 and 1/3 have both the same denominator "3", these are similar fractions.

4. Timothy deposited $3500 into an accountthat pays 4.3% simple interest and keeps it
there for 4 years. What is his new account balance after interest?
(8 Points)
$602
$4,102
$6,020
$9,520

Answers

$3,500(4.3%)4= $602

His new account balance after interest is $602

I NEED HELP PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

the rock has changed color due to weathering.

just by looking at it, you cant tell for sure making it an inference.

Answer:

4. the rock has changed colour due to weathering

Step-by-step explanation:

the rock's colour has changed as a result of interference

Find the quotient of 60:5

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12


Which values, in order, will complete the table

Answers

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answers

D) Distributive property of multiplication over addition

How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365

Answers

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40​

Answers

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

the process of finding factors​

Answers

Finding a factor meaning figuring variables that contribute to that value. For example: 10 the factors are 1,2,5,10 (1x10),(2x5),(5x2). Another example is 20 it’s factors are 1,2,4,5,20 (1x20),(2x10),(4x5),(5x4),(20x1)

57.8 divided by 81, estimate quotient

Answers

Answer:

0.71358024691 But really you can say .7

round 803 to the nearest ten. Enter your answer in the box below.​

Answers

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Clare ran 4 miles on Monday. Then for the next six days, she ran the same distance each day. She ran a total of 22 miles during the week. Which tape diagram represents this situation?

Answers

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:

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