Given three different prime numbers [tex]p_1 \ \ ; \ \ p_2[/tex] and [tex]p_3[/tex] satisfy equation [tex]p_1+p_2+p_3=202[/tex] . Find the maximum value of

[tex]\pmb {p_1 \times p_2\times p_3=?}[/tex]

Answers

Answer 1

Answer:

19982

Step-by-step explanation:

As we know all primes but 2 are odd numbers.

It means sum of any 3 primes not including 2 is odd.

Since we have sum of 202, one of our primes is 2.

Sum of the other two primes is 200.

In order to have maximum value of p*(200 - p) these two numbers must be closer to each other. So we are looking for two primes around 100.

We can test all primes less than 200:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199

The 3 primes with max product are:

2, 97, 103

The value is:

2*97*103 = 19982

Related Questions

PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

range

Step-by-step explanation:

Answer:

B. range.

Step-by-step explanation:

others are:

» Standard variation.

» Interquatile range.

» Quatiles, deciles and percentiles.

» variance.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2

Answers

Answer:

13.2

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 15^2 = 20^2

a^2 + 225 = 400

a^2 = 400 - 225

a^2 = 175

a = 13.22 or 13.2

The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?

Answers

Answer: 180 gallons

Step-by-step explanation:

If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)

What is the volume?
9 ft
4 ft
2 ft
HELPPPP

Answers

Answer:

72?

Step-by-step explanation:

V=whl=4 x 2 x9=72

Answer:

72 cubic feet

Step-by-step explanation:

*this formula doesn’t work for all shapes*

Volume = length x width x height

Volume = 4 x 2 x 9

Volume = 72 cubic feet

term 1 is -3, term five is 5. find the tenth term?

Answers

Answer:

t(10) = 15

Step-by-step explanation:

5 - (-3)/ 5 - 1

= 2

t(n) = t1 + (n - 1)(d)

t(10) = -3 + (10 - 1)(2)

t(10) = -3 + (9)(2)

t(10) = -3 + 18

t(10) = 15

Does anyone know how to do these. Its due in the morning. Pls help

Answers

Answer:

15)

Given equation:

y = 2/5x - 3

To plot the line first find two points:

1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1

Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.

16)

Use Pythagorean to find the missing leg:

[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] units

find the median and mean of the data set below :​

Answers

Median:15 1,11,14,15,31,37,47
Mean:22 (1+11+14+15+31+37+47)/7=22

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set

[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]

= [tex]\frac{154}{7}[/tex]

= 22

so our mean will be 22

3 times the sum of a number and 4 is 20

Answers

Answer:

as per the statement we form an algebraic equation as

3(x+4) = 20

3x + 12 = 20

3x = 8

x = 8/3

as per my understanding that's the answer

2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)

Answers

Answer:

Step-by-step explanation:

Start by finding the radius

d = 8

r = d/2

r = 8/2

r = 4

Next find the height

the height = 3 times the radius

the height = 3 * 4

The height = 12

Volume = pi * r*r * h

pi = 3.14

r = 4

h = 12

V = 3.14 * 4 * 4 * 12

V = 602.88

True or False: A rational number can be expressed as the quotient a/b where b ≠ 0.

Answers

Answer:

true?

Step-by-step explanation:

A rational number can be expressed as the quetient a\b where b=0 is true

comeplete using distributive property (x+2x+3x)(x+4)​

Answers

Answer:

6x^2 + 24x

Step-by-step explanation:

This is Solving Linear Equations.

Answers

Answer:

x=12

Step-by-step explanation:

you have to group the like terms in order to solve this equation, this will result to;

5/2x-3/4x=14+7

1.75x/1.75=21/1.75

x=12

I hope this helps

Required solution :

The given equation is,

(5 / 2)x - 7 = (3 / 4)x + 14

5x - 14 / 2 = (3 / 4)x + 14

Transposing 14 from R.H.S. to L.H.S.,

(5x - 14 / 2) - 14 = (3/4)x

5x - 14 - 28 / 2 = 3x / 4

5x - 42 / 2 = 3x / 4

4 (5x - 42) / 2 = 3x

4 × (5x - 42) / 2 = 3x

2 (5x - 42) = 3x

10x - 84 = 3x

10x - 3x = 84

7x = 84

x = 84 / 7

x = 12

Therefore, option d that is 12 is correct.

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

14...

area = 1/2 b h

b= 7-0 = 7 ... 7/2 = 3.5

h = 7-3 = 4

3.5 * 4 = 14

Step-by-step explanation:

help w #5 !! will mark brainlist

Answers

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

3/2x + 7/2 = 2x what is the solution to the equation

Answers

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

Find the quotient. Write your answer in scientific notation.
(4.2×10^2)÷(1.5×10^3)=

Answers

0.28

Hope this helps!

The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.

Answers

Answer:

Step-by-step explanation:

The circumference formula is

C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:

106.76 = 2(3.14)r and

[tex]\frac{106.76}{2(3.14)}=r[/tex] so

r = 17

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5

Answers

Answer:

I'm not so sure but i guess it's option D y=5x-3

the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now


1. Point B bisects AC. If AB = 2x + 10, and AC = 40, what is the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

B, bisects AB. So, AB = BC

AC = AB  +BC

     = AB + AB

AC = 2AB

[tex]\dfrac{1}{2}AC = AB\\\\AB = \dfrac{1}{2}AC\\\\2x + 10 =\dfrac{1}{2}*40\\\\2x + 10 = 20[/tex]

Subtract 10 from both sides,

2x = 20 - 10

2x = 10

Divide both sides by 2

x = 10/2

x = 5

A vehicle is travelling from rest. After 10 seconds its velocity will be 20ms find acceleration?​

Answers

Initial velocity (u) = 0m/s

Final velocity (v) = 20m/s

Time (t) = 10 s

Acceleration (a)

= (v - u)/t

= [(20m/s) - (0m/s)]/10s

= (20m/s)/10s

= (20m/s²)/10

=> 2m/s²

Which equation describes the same line as y- 6 = -4(x + 1)?

O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3​

Answers

Answer:

Option C is correct

Step-by-step explanation:

[tex]y−6=−4(x+1) \\ [/tex]

[tex]y−6=−4x−4 \times 1[/tex]

[tex] y−6=−4x−4 [/tex]

[tex]y=−4x−4+6 [/tex]

[tex]y=−4x+2[/tex]

Hope it is helpful....

option C is correct

Which pieces of information can be gathered from these box plots?

Answers

Answer:

A & C

Step-by-step explanation:

What is the value of the expression below when z=6
z²+3z-3

Answers

Answer:

51 I hope it will help you

Step-by-step explanation:

mark me as a brainlist answer

Answer:

51

Step-by-step explanation:

Plug in z

(6)^2 + 3(6) - 3

36+18-3

54-3= 51

11.49 for 3 packages

Answers

Answer:

Individual package would be 3.83

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

If the function f is given by f(x)= 4x -3, find the value of f(2+h)

Answers

f(x)=4x-3

[tex]\\ \sf\longmapsto f(2+h)[/tex]

[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]

[tex]\\ \sf\longmapsto 4h+8-3[/tex]

[tex]\\ \sf\longmapsto 4h+5[/tex]

solve for x: 3x²-243

Answers

3x²–243=0 —> 3 (x²–81) = 0 —>

x²–81=0 —> (x-9)(x+9)=0

x-9=0 —> x=9

x+9=0 —> x=–9

I hope I helped you^_^

what is the answer to 7b-7-8b= -15

Answers

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

b = 8

Answer: b = 8

Step-by-step explanation:

Given

7b - 7 - 8b = -15

Combine like terms

-b - 7 = -15

Add 7 on both sides

-b - 7 + 7 = -15 + 7

-b = -8

Divide -1 on both sides

-b / -1 = -8 / -1

b = 8

Hope this helps!! :)

Please let me know if you have any questions

3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).

A=P(1+r/n)nt

Answers

Answer:

$121.81

Step-by-step explanation:

A=  4000(1+.03/365)^365

[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]

Total interest earned on Sandra’s card after 1 year is $4,121.81

What is compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Given,

A=P(1+r/n[tex])^{nt}[/tex]

Sandra makes a credit card purchase for $4,000 that compounds interest daily.

P = $4,000

r =3%

t = 1 year

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,000.00(1 + 0.03/365)(365)(1)

A = 4,000.00(1 + 8.2191780821918E-5)(365)

A = $4,121.81

Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ5

What is the length of the altitude of the equilateral triangle below?

Answers

Answer:

E.  12

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : √3 : 2

The short leg is 4√3.

The long leg is √3 times the short leg.

a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12

Answer: E.  12

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