p and q are both prime numbers with p < q.
They are each less than 18
Give an example where p + q is odd but not prime.

Answers

Answer 1

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

To know more about the prime number refer to the link given below:

https://brainly.com/question/792663

#SPJ1


Related Questions

The linear equation y= mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9. What is the value of m? What is the value of b?

Answers

The value of m and b of the linear equation are 4 and 19 respectively

How to represent linear equation?

The linear equation is represented as y = mx + b, contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9

Linear equation can be represented as follows:

In slope intercept form,

y = mx + b

where

m = slope or gradientb = y-intercept

Therefore, the linear equation y = mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9.

Perpendicular lines follows the following rules:

m₁ m₂ = -1

Therefore, let's find the slope of the second equation and use it to find the slope of the linear equation that passes through (-4, 3).

5x + 20y = 9

20y = -5x + 9

y = -1 / 4 x + 9 / 20

Hence,

- 1 / 4 m₂ = - 1

m₂ = 4

Therefore, let's find the equation since we have gotten the slope.

y = 4x + b

It's passing through (-4, 3)

3 = 4(-4) + b

3 = -16 + b

b = 3 + 16

b = 19

Therefore, the value of m and b of the linear equation are 4 and 19 respectively

learn more on linear equation here: https://brainly.com/question/17754578

#SPJ1

1+1 =3
thế 1239479823749082+2321887349274971+282715371864791-168492614916=

Answers

Answer:

3.8439141e+15

Write 42 900 000 in standard form

Answers

Answer:33.1

Step-by-step explanation: 3.61 × 10-3 =33.1

Step-by-step explanation:

429 × 10⁷

hopefully it will help you

Which of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
A) {-2, -1, 0, 1, 2} because the distribution of values is symmetrical around zero.
B (99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
c {9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
(80, 93, 100, 110, 118) because the sample mean is equal to the true mean of the population

Answers

Answer:  is #b

Step-by-step explanation:

Anika spent $38 on 9.5 gallons of fruit punch. What is the cost per gallon? p= w= %=​

Answers

The required cost of the punch is $4 per gallon.

Given that,
Anika spent $38 on 9.5 gallons of fruit punch.
To determine what is the cost per gallon.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total volume purchased = 9.5 gallons
Total cost = $38
Now,
The ratio of the total cost of punch to the volume of fruit punch purchases the total cost will give as the cost per gallon. So,
cost per gallon = 38 / 9.5
                      = $4 per gallon

Thus, the required cost of the punch is $4 per gallon.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

0.5(7d+4)=7−1.5d ..............................

Answers

Answer:

d=1

Step-by-step explanation:

First let's simplify the first equation, 0.5(7d+4) by applying the distributive property

0.5(7d+4)

(0.5 x 7d) + (0.5 x 4)

3.5d+2


Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left

3.5d+2 = 7-1.5d

3.5d+2+1.5d=7

5d+2=7

Move all terms not containing d to the right side of the equation

5d+2=7

5d=7 -2

5d=5

Finally, divide each term by 5 to simplify

5d/5 = 5/5

d=1

The cost of 20 cans of dog food at Store B is $18.40?





Calculate the price for 11 cans of dog food.

Answers

The cost of 11 cans of dog food will be equal to $10.12.

What is unitary method ?

The unitary method is a method in which , you first determine the value of a single unit before determining the value of the required quantity of units.

It is given that the cost of 20 cans of dog food at store B is $18.40.

We need to find cost of 1 can of dog food and that can be calculated by dividing the cost of cans of dog food by total no. of cans.

i.e.,

Cost of 1 can of dog food = $ 18.40 ÷ 20

So ,

The cost of 1 can of dog food will be :

= $0.92

Now , the cost of 11 cans of dog of food will be calculated by multiplying cost of 1 can of food to 11 cans of dog food which will be :

= 11 × $ 0.92

= $10.12

Therefore , the cost of 11 cans of dog food will be equal to $10.12 .

Learn more about unitary methods here :

https://brainly.com/question/11035007

#SPJ1

The length of a rectangle is 3 more than twice the width. the perimeter is 36 inches. what is the area?

Answers

If the length of a rectangle is 3 more than twice the width and the perimeter is 36 inches, then the area of the rectangle is equal to 65 in².

The length and width of the rectangle can be determined by using the formula for the perimeter of the rectangle,

P = ( L + W ) × 2

P = 2L + 2W

Here L is equal to the length of the rectangle and W is the width of the rectangle.

As the length is 3 more than twice the width, we can write the length of the rectangle as,

L = 3 + 2W

Putting L = 3 + 2W in the equation of perimeter,

P = 2L + 2W

As P = 36

36 = 2( 3 + 2W) + 2W

36 = 6 + 4W + 2W

6W = 30

W = 30 ÷ 6

W = 5

The length of the rectangle can be found by putting W = 5 in the equation,

L = 3 + 2W

L = 3 + 2(5)

L= 3 + 10

L = 13

Therefore, the length and width of the rectangle are equal to 13 and 5 respectively

As, area = width × length

area = 5 × 13

area = 65

Hence, the area of the rectangle is equal to 65 square inches.

To learn more about perimeter, click here:

https://brainly.com/question/26584519

#SPJ4

help me please 4+(−1/2/3)

Answers

Answer is 7/3

Step-by-step explanation:

Answer:

[tex]\frac{23}{6}[/tex] or 3.833333...

Hope this helps

Step-by-step explanation:

[tex]4+(-\frac{1}{2} *\frac{1}{3} )\\\\4+ (-\frac{1}{6} )\\\\4-\frac{1}{6} \\\\\frac{24}{6} -\frac{1}{6} \\\\\frac{23}{6}[/tex]

8×138
I got the Answer but I'm not sure
(tell if it is true or not ,if not pls tell the answer plsss)​

Answers

Answer:

Did you mean 138/8?

If so, 17.25 is correct.

Answer:

hope it helps you

Step-by-step explanation:

thankss :) if its wrong let me know

HELP PLEASE WITH THIS MATH

Answers

Answer:

Shapes S and D are congruent because they are both parallel to the line. Shapes M and S have the same area since they both cover 6 triangles.

Step-by-step explanation:

8.a) A tree of 14m height is broken by the wind so that its touch touches the ground and makes an angle of 60 with ground. Find the length ot broken part of tree .please help for brainliest.

Answers

Answer:6.5m

Step-by-step explanation:

Absolute Value


7 |dl = 49

Answers

If I read this correctly, 7 times 7 equals 49. Since it wants the absolute value, the answer is d= - 7, 7

Can I have this checked?

Answers

The measure of angle JKN is 108 degrees

How to determine the measure of angle JKN?

From the figure, we have the following parameters

Angle 1 equals Angle 2

Where

Angle 1 = Angle JKP = 3r + 12

Angle 2 = Angle PKN = 4r - 2

Recall that

Angle 1 equals Angle 2

So, we have

3r + 12 = 4r - 2

Evaluate the like terms

r = 14

Substitute r = 14 in Angle 1 = Angle JKP = 3r + 12 and Angle 2 = Angle PKN = 4r - 2

Angle 1 = Angle JKP = 3 * 14 + 12 = 54

Angle 2 = Angle PKN = 4 * 14 - 2 = 54

The measure of angle JKN is calculated as

Angle JKN = Angle 1 + Angle 2

So, we have

Angle JKN = 54 + 54

Evaluate

Angle JKN = 108

Hence, the measure of angle JKN is 108 degrees

Read more about angles at

https://brainly.com/question/98924

#SPJ1

Yesterday, between noon and midnight, the temperature dropped by 28.4°F. If the temperature was -1.9°F at midnight, what was it at noon?

Answers

Answer:

n= 26.5

Step-by-step explanation:

Comment

You need some sort of formula for this question. But you more or less have to invent it.

Formula

Temperature midnight = noon - temperature drop

Givens

temperature drop = 28.4

temperature midnight = -1.9

Temperature noon = x

Solution

-1.9 = x - 28.4                       Add 28.4 to both sides

-1.9 + 28.4 = x-28.4+28.4    Combine

Answer

26.5 = x

Three arithmetic means between 12 and 44

Answers

The three arithmetic means between 12 and 44 are -

20, 26, 36.

We have two numbers 12 and 44.

We have to determine the three arithmetic mean between these numbers.

What is Arithmetic Mean ?

Assume that x, y and z are in AP, then -

y - x = z - y

2y = x + z

y = (x + z)/2

Here -  y is called the arithmetic mean of x and z.

According to the question -

Assume that the three arithmetic means between the two numbers are -

12, a, b, c, 44

Then -

12 , 12 + d, 12 + 2d, 12 + 3d, 44

will be an AP with common difference 'd'.

Now, we have -

a[5] = 44

Using the formula for nth term of an AP, we get -

a + (n - 1)d = 44

12 + 4d = 44

4d = 32

d = 8

Therefore, the three arithmetic means are -

12 + 8 = 20

12 + 2 x 8 = 26

12 + 3 x 8 = 36

Hence, the three arithmetic means between 12 and 44 are -

20, 26, 36

To solve more questions on Arithmetic mean, visit the link below-

https://brainly.com/question/10716683

#SPJ1

Can someone help me with this

Answers

Answer:

p) zero

q) 10,559.5

r) from $37,001 to $87,000

Step-by-step explanation:

p) zero

q) Tax = 3,572 + (58,500 - 37,000)(0.325)

= 3,572 + 6,987.5

= 10,559.5

r) from $37,001 to $87,000

What is n and m? In the angle

Answers

In the given triangle , ∠n = 50° and ∠m = 35°

What is an angle ?

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.

Some common terms related to angles :

Endpoint  : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.

In the given question mark the triangle as ABC and the mid line as point D.

that means,

∠A = ∠n

∠B = ∠m

and, in ΔABC

∠C = 60 + 35 =95

now, as ΔCDB is isosceles triangle therefore,

∠m = ∠C = 35°

Also, as sum of all angle of triangle is 180

Therefore, ∠A + ∠B + ∠C = 180

=> ∠n + ∠m + 95 = 180

=> ∠n + 35 + 95 = 180

=> ∠n = 180- 130

=>∠n = 50

Hence in the triangle given , ∠n = 50 and ∠m = 35

To know more about Angles and properties, visit:

brainly.com/question/13822181

#SPJ9

you know that your height is 5 ft 3 in. a friend measures you three times and gets these results: 5 ft 10 in, 5 ft 9.5 in, and 5 ft 10.5 in. how can these measurements be explained

Answers

The measurements can be explained as low accuracy and high precision.

Accuracy is how close or far off a given set of measurements are to their true value.

Precision is how close or dispersed the measurements are to each other.

Given,

His height = 5 feet 3 inches

Friend measures you three times and gets these results =5 ft 10 in, 5 ft 9.5 in and 5 ft 10.5 in

Here, the measurements are closely dispersed but the measurements are far from actual measurement.

Hence, the measurements can be explained as low accuracy and high precision.

Learn more about Accuracy here

brainly.com/question/14244630

#SPJ4

Find the distance CD rounded to
the nearest tenth.
C (7,-4) and D = (-8,-5)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (y2-Y₁)²
Round your answer to the tenths place.

Answers

The distance between two points [tex](x_{1}, y_{1} )[/tex] and [tex](x_{2} ,y_{2})[/tex] is given by

[tex]d = \sqrt{ (x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }[/tex]                   …(1)

Given points are:

C = (7,-4) = [tex](x_{1}, y_{1} )[/tex]

D = (-8,-5) = [tex](x_{2} ,y_{2})[/tex]

Substituting the values in equation (1), we get

[tex]CD = \sqrt{ (-8-7)^{2} +(-5-(-4))^{2} }[/tex]    

[tex]CD = \sqrt{ (-15)^{2} +(-1)^{2} }[/tex]

[tex]CD = \sqrt{{ 225} +1 }[/tex]

[tex]CD = \sqrt{{ 226 }[/tex]

[tex]CD = 15.03}[/tex]

After Rounding it to nearest tenth, we get

CD = 15 units

Hence, the distance between the points (7,-4) and (-8,-5) is 15 units.

Know more about Distance formula: -https://brainly.com/question/23848540  

#SPJ9

hey could someone help me understand this i'm confused.

Answers

Check the picture below.

1. true or false?
2.true or false?
3.true or false?
4.true or false?

(don’t mind the circled answers)

Answers

Answer:

1. true

2. false

3. false

4. true

Step-by-step explanation:

a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a? chegg

Answers

The factor of its area less than the initial area is 1/4

How to determine the factor of its area less than the initial area?

The given parameters can be represented as:

Second sheet = 1/2 * The first sheet

Assume the sheet is rectangular, the area of the sheet is calculated as:

Area = Length * Width

So, the area of the second sheet is

Second sheet = 1/2Length * 1/2Width

This gives

Second sheet = 1/4(Length * Width)

So, we have:

Second sheet = 1/4 * First sheet

Hence, the factor of its area less than the initial area is 1/4

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of the vector n and the angle θ , with the components separated by a comma.

Answers

The components are Nx= Ncosθ  and Ny= -Nsinθ

What is a Vector?

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

Learn more about vectors here:

https://brainly.com/question/1600633

#SPJ4

When the signs are of the integers the same, 1.__________
the integers and copy the 2.) ________ sign. When the signs are
3,) ____________, subtract them and use the sign of the number
with the greater 4) _________. If we add two same numbers with
different signs, then the answer is equal to 5.) ___________.
The sum of two negative integers is a 6. )_________ integer. The
sum of two positive integers is a 7.) ___________ integer.

Answers

When the signs of the integers are the same, 1) add the integers and copy the 2) same sign. When the signs are 3) different, subtract them and use the sign of the number with the greater 4) absolute value. If we add two same numbers with different signs, then the answer is equal to 5) zero . The sum of any two negative integers is always a 6. )negative integer. The sum of any two positive integers is a 7) positive integer.

Integers are a subset of real numbers that contains all rational numbers except decimals or fractions

When the signs are the same, add the integers and copy the same sign.

Examples: (+2) + (+8) = +10

                   -1 + (-4 )= -5

When the signs are different, we subtract and use the sign of the number with the bigger absolute value.

Examples; +12 + (-4) = +8

                  -12 + (+4) = -8

If we add two same numbers with different sign then the answer is equal to zero.

Examples: +5+ (-5) = 0

                 -1 + +1 = 0

The sum of any two negative integers is a always a negative integer.

Examples: -3 + (-5) = -8

                 -16 + (-10) = -26

The sum of any two positive integers is a always a positive integer.

Examples: +12 + +56 = +68

               +35 + + 15= +50

To learn more about integer visit:

https://brainly.com/question/15276410

#SPJ9

Given f(x) = 5x? + 2 and g(x) = 8 - 3x, find the following.
12. Find g[f(-2)].
11. Find flg(x)).

Answers

Value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:

a. g(f(-2)) =32

b. f(g(x)) =42 -15x

As given in the question,

Given function:

f(x) = 5x + 2

g(x) = 8 - 3x

Value of the function for the following condition:

a. g(f(-2))

f(x) = 5x + 2

⇒f(-2) = 5(-2) + 2

⇒f(-2) = -8

g(f(-2))= g(-8)

         = 8 - 3(-8)

         = 32

b. f(g(x)) = f(8-3x)

             = 5(8 -3x) + 2

             =42 -15x

Therefore, value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:

a. g(f(-2)) =32

b. f(g(x)) =42 -15x

The complete question is :

Given function  f(x) = 5x + 2 and g(x) = 8 - 3x, find the following value.

a. Find g[f(-2)].

b. Find f(g(x)).

Learn more about function here

brainly.com/question/12431044

#SPJ1

How do i solve these types of problems?

Answers

Answer:  49   &  82

Step-by-step explanation:

*the total degrees for each triangle is 180 degrees

9)  Start with the triangle furthest left- subtract 71 and 57 both from 180.  That leaves you with 52 degrees for that third angle.  The angles that all make a straight line or straight angle add up to 180 degrees as well.  Now, subtract the 52 and 65 from 180, which leaves you with 63 degrees for the first angle in the second triangle.  Now subtract the 63 and 68 from 180, which leaves you with 49 degrees for that answer.

10)  For this one, you will start with the triangle further right, since it already has two angles shown.  Subtract the 85 and 35 from 180, which gives you 60 degrees for that third angle.  Then, you can use the vertical angles to fill in its opposite angle in the first triangle (vertical angles are equal).  This means that the first triangle has angles of 38 and 60 degrees, so subtract those both from 180, giving you 82 degrees for that answer.

Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.

Answers

A is 800 plus tax, with $75 back
800x1.05 (because it's 5% tax) -75 =$765
B is 800x.90 (because 10% off means he's
paying 90% x.05=$756
C is 800x 95 (because 5% off means he's
paying 95%) =760
So B is the right answer

Daniel works at least 30 hours a week. He works as a math tutor and as a teacher. The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x). •Write a set of inequalities that represents the constraints of the situation and state a point (x,y) that is the feasible region.

Answers

The set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)

How to write the set of inequalities that represents the constraints of the situation and state a point (x, y) that is the feasible region.

The given parameters are:

Number of hours = at least 30 hours a week

This means that

x + y ≥ 30

Also, we have:

The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x).

This means that

y ≤ 2x

Substitute y ≤ 2x in x + y ≥ 30

x + 2x ≥ 30

This gives

3x ≥ 30

Divide

x ≥ 10

Substitute x ≥ 10 in y ≤ 2x

y ≤ 2 x 10

Evaluate

y ≤ 20

Hence, the set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)

Read more about inequalities at

https://brainly.com/question/24372553

#SPJ1

WILL GIVE BRAINLIEST need help asap

What will be the location of the y value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( -17, -3)

Answers

Answer:

(-13, -10)

Step-by-step explanation:

Your original point is (-17, -13)  The instruct tell you to move the point 4 units to the right and down 7 units.

-17 + 4 = -13

-3 - 7 = -10

(-13, -10) is going to be your correct answer.
Other Questions
a critical event in the death of a cell is caused by group of answer choices disruption of the plasma membrane s permeability barrier an increase in cellular protein content an accumulation of lipofuscin chronic nutrient insufficiency Describe your Johari Window. Which area or areas are largest for you? Smallest? When 96.0 g of calcium and 41.7 g of nitrogen gas undergo a reaction that has a 86.7% yield, what mass of calcium nitride forms? g calcium nitride The perimeter of the triangle shown is 556 meters. Findthe length of each side.x meters =4x meters =(8x - 3) meters =(Type integers or decimals.)4x meters(8x - 3) metersx meters Whats 5/6 X 1/4 =? its fraction operations what were middle colonies and native american relations like? Based on the growing popularity of smaller families worldwide, what do experts predict for the future?. State the interval for which the following function is positive and its intercepts. somebody please help me chloroplasts are proposed to have arisen after archaea cells engulfed , in endosymbiosis, allowing the engulfed cell to remain, with specialized function. Suppose the spinner shown to the right is spun once, to determine a single-digit number, and weare interested in the event E that the resulting number is even. Give each of the following.(a) the sample space(b) the number of favorable outcomes(c) the number of unfavorable outcomes(d) the total number of possible outcomes(e) the probability of an even number(f) the odds in favor of an even number 331 students went on a field trip. Sixbuses were filled and 7 studentstraveled in cars. How many studentswere in each bus? 1. Which of the following is the strongest piece of textual evidence that supports ananalysis of Adichie's central idea in her essay?A. "We judge powerful women more harshly than we judge powerfulmen. And Feminism Lite enables this."B. "If a woman has power then why do we need to disguise that shehas power?"C. "But I recently came to the realization that I am angrier aboutsexism than I am about racism."D. "There must be more than male benevolence as the basis for awomen's well-being." 8(5-2x)=24Solve x. Pls show working i will give brianliest to however gets it right in a car moving at constant acceleration, you travel 230 mm between the instants at which the speedometer reads 40 km/hkm/h and 80 km/hkm/h . 125 tickets at $6 and $10 were sold for $1,022. How many $6 tickets and how many $10 tickets were sold? is an application of bi that enables the continuous and real-time analysis of operational data to measure actual performance and forecast future performance. Why did the girls hate bothJeanette and Mirabella? in st lucys home for girls raised by wolves two cars travel the same distance car one travels at 50 mph and car 2 at 65 mph if it takes car 1 one more hour to travel than car two how far did the cars travel