A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime

Answers

Answer 1

Answer:

 

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:


Related Questions

Alright I need help.. I will mark brainliest .
;-;

Answers

Answer:

  x - y = 9

Step-by-step explanation:

When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.

An equation relating the values is ...

  x - y = 9

_____

Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:

  y = x -9

can anyone please help?​

Answers

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Write the word sentence as an equation. Then solve the equation.
The quotient of a number and -1.5 is 21.
a
Equation:
Solution: x=

Answers

Answer:

Step-by-step explanation:

"The quotient of a number and -1.5 is 21."

Let X be the "number."

X/-1.5 = 21

X = -1.5*(21)

X = - 31.5

Which equation could have been used to create this table? need answer fast


y = x + 6


y = x + 5


y = 6x

y = 7x

Answers

Answer:

y=6x

Step-by-step explanation:

Each value for y is can be divided by 6 for the value of x

Answer:

y=6x

Step-by-step explanation:

Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]

Answers

Answer:

≈ 0.35

Step-by-step explanation:

First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :

[tex]\sqrt{8}[/tex] ≈ 2.83

[tex]\frac{1}{8}[/tex] = 0.125

Now multiply them as shown in the original equation:

0.125 x 2.83 = 0.35375 ≈ 0.35

The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?

Answers

Answer:

Not too sure, but maybe this is what you need.

(Students = S, Adults = A) So, Ax + Sy = 266?

Or

x10 + y7 = $266

Step-by-step explanation:

I think the second one is the most accurate one, ignore the first equation. T^T

there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box

Answers

Answer:

A 17, B 19, C 27

Step-by-step explanation:

A + B = 36

A + B + C = 63

63 - 36 = 27, which is C

C - A = 10

27 - A = 10

A = 17

A + B + C = 63

17 + B + 27 = 63

63 - 44 = 19

At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out. What is the rate at which your balance is changing each time you visit the ATM?

Group of answer choices

$3

-$60

$60

-$63

-$1500

-$3

Answers

I think the correct answer would be -$60

A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing

Answers

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?

Answers

Answer: (0,-5) or just -5

Step-by-step explanation:

gradient = change in y/change in x = (-7+15)/(1-5) = -2

y = -2x + c

-7 = -2 x 1 + c

c = -7 + 2 = -5

y intercept is (0, -5)

A TV has a listed price of $900.99 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

$900.99 x 6.75% = 60.82 (tax)
$900.99 + $60.82 = $961.81 total cost.

please help me it's important

Answers

Answer:

circumference=2×3.142×radius

radius=16.8÷2=8.4

so,

circumference=52.7856cm

Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.

Answers

11.5 x 40 is 460
11.5 x 1.5 is 17.25
17.25 x 6 is 103.5
103.5 + 460 is 563.5
the answer is $563.50

The amount that Heather earns if she works 46 hours in one week is; $563.5

Amount she earns per hour if she works for 40 hours a week = $11.5 per hour

If she works over 40 hours, her hourly pay is 1.5 times the previous rate.

Thus;

Amount she earned for 40 hours is;

11.5 × 40 = $460

Amount she earned for the 6 extra hours to make it 46 hours is;

1.5 × 11.5 × 6 = $103.5

Total amount she earned for the 46 hours = $460 + $103.5 = $563.5

Read more on proportion word problems at; https://brainly.com/question/160640

I need help please? ????????

Answers

Answer:

ummmmm i really don't get it but I think its 17/66

Step-by-step explanation:

multiply in to each fraction

Segment AB and CD intersect at point E, measure of angle ABC =6x+20 and measure of angle DEB=10x. What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

6x + 20 = 10x

I hope this helps!

A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?

Answers

Answer: Exponential decay model:

y

=

x

(

1

r

)

t

, half life of tablet is about

2

hours and after

t

=

3

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

x

=

125

mg ; rate of decay

r

=

30

100

=

0.3

gm/hour

Exponential model:

y

=

x

(

1

r

)

t

=

125

(

1

0.3

)

t

=

125

0.7

t

Half life:

y

=

125

2

=

62.5

mg

62.5

=

125

0.7

t

or

0.7

t

=

1

2

. Taking logarithm on both sides we get ,

t

log

(

0.7

)

=

log

(

0.5

)

t

=

log

(

0.5

)

log

(

0.7

)

1.94

(

2

d

p

)

hour

The half life of tablet is about

2

hours.

After

t

=

3

hours , remaining drug on patient's system is

y

=

125

0.7

t

=

125

0.7

3

=

42.875

mg [Ans]

find x and y for this triangle

Answers

Answer:

x = 1.25

x = 1.75

Step-by-step explanation:

I marked the points of this triangle in the attached image so it's easier to explain.

ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.

[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]

The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.

[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]

Now, you can do the exact same thing for y:

[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]

PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!

What type of triangle is this?

Answers

Answer:

It's an obtuse Scalene Triangle

Step-by-step explanation:

Look up triangle angle calculator and enter in the sides

find the circumference of a cd that has an diamater of 5 round your andwer to the nereast tenth

Answers

Answer:

15.7

Step-by-step explanation:

C = 2πr

C = 2(3.14)(2.5)

C = 15.7

Write a function for the line with a slope of 5 that passes through the point (2, 1). Enter the correct equation in the box.

Answers

Answer:

brainly

Step-by-step explanation:

How many groups of are there in 30?​

Answers

Answer:

6

Step-by-step explanation:

divide or multiply by 5 to get 30

Answer:

??????????????????????

The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?

Answers

Answer:

6 cups of chocolate chips

Step-by-step explanation:

2:5 5+4=9 so add 4 to each side of the ratio

6:4

Please and thank youuuuuu! :)

Answers

Answer:The slope is 4. Step-by-step explanation:

We know the slope intercept formula. Using the formula, we can find the slope.

Formula: y = mx + bGiven equation: y = 4x - 6m = Slopeb = y-intercept

Now, let's compare both equations to find out what is the slope.

=> y = mx + b

            y = 4x - 6

Conclusion:

We can clearly see that m is replacing with 4. That basically means the slope is 4.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

if 10 seeds are planted, what is the probability that exactly 3 don't grow?

Answers

Answer:

10:7

Step-by-step explanation:

take 10 as it is and it becomes 10

then,10-3 it is because when 3 don't grow it subtracts and becomes 7

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?

Answers

Answer:

Step-by-step explanationcvm

Answer:

25

25+1.25x

Step-by-step explanation:

At least you got an actual answer this time hope this helps

6 divided by 20 write your answer in a decimal form

Answers

Answer:

0.3

Step-by-step explanation:

I just need 20 characters so yeah

Answer:

0.3

Step-by-step explanation:

wich of the following functions maps 3 to -5?

Answers

Answer:

A

Step-by-step explanation:

Consider all options and find f(3):

A.

Then

Not -5, so this option is false.

B.

Then

This option is true.

C.

Then

Not -5, so this option is false.

D.

Then

Not -5, so this option is false.

A copy machine makes 32 copies per minute. How long does it take to make 144 copies?

?????

Answers

4mins and 30seconds is the correct answer

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.

Enter your answer in the boxes.

y =
x +

Answers

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

What’s the an and the a10

Answers

Answer:

an = -6 + n

a10 = -6+ 10 =4

Step-by-step explanation:

an should start at one behind the first number so it should be -6. Then we add  whatever the sequence is increasing by, which is 1 in this case, multiplied by n.

an = -6 + n

a10 = -6+ 10 =4

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