a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6​

Answers

Answer 1
Answer:    1/3

===================================================

Explanation:

A = multiples of 5 between 1 and 30

A = {5,10,15,20,25,30}

B = multiples of 6 between 1 and 30

B = {6,12,18,24,30}

There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}

The probability we want is 10/30 = 1/3


Related Questions

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.

Answers

Answer:

Step-by-step explanation:

R

The number of calories in 14 brownies is 233 calories.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

Hence, The number of calories in 14 brownies is 233 calories.

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Five times the difference of a number and 8 is 19.

Answers

19 divided by 5 is 3.8 Therefore the difference between a number and 8 is 3.8 so the missing number could be 8 - 3.8 which is 4.2

please help me to get the answers please its important​

Answers

Answer:

  Q16a: 432 cm³

  Q16b: sides: 20 m, 6 m; height: 13 m.

Step-by-step explanation:

Q16a

Each cube will have a volume ...

  V = s³

  V = (6 cm)³ = 216 cm³

The two cubes together will have a volume that is twice that.

The cuboid volume is 432 cm³.

__

Q16b

Let h represent the height of the trapezium. Then its area is ...

  A = 1/2(b1 +b2)h

  169 = 1/2((h +7) +(h -7))h = 1/2(2h²) = h²

  h = √169 = 13 . . . . . distance between the parallel sides

The side lengths are h+7 = 20 m and h-7 = 6 m. The distance between them is 13 m.

Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS

Answers

None because the triangles have different lines

WILL GIVE BRAINLY,5 STARS,AND THANKS

Answers

Answer: Yes, he does.

Step-by-step explanation:

55 x 12 = 600 Also can I see the answers for the question

Manuel has 4
4 gallons of diesel in his tractor. If the tractor holds 7 gallons of diesel
many more gallons does he need to add to completely fill the tractor's fuel tank

Answers

Answer:

3

Step-by-step explanation:

7-4=3

Answer:

He has three!

Step-by-step explanation:

7-4=3 so manuel needs three more gallons! Hope this helps! :)

Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.

Answers

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

Solution:

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

Associative property:-

[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]

Now

[tex]\\ \sf\longmapsto (w+9)+3[/tex]

[tex]\\ \sf\longmapsto 3+(w+9)[/tex]

What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.

Answers

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

What two numbers add to -6 and multiple to 6

Answers

-3 x -3
-3 + -3

there’s ur answer!

slopeeeeeeeeeee please help me someone no bots

Answers

Answer:

5) -2

6) 1

7) -4/3

8) I'm not sure for this one

9) 8

10) 9/5 i think

1)   A

2)   D or A

3)   C

4)   A

Step-by-step explanation:

Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept

Need help ASAP! Directions in picture ;)

Answers

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

please please help for brainlist !!!!!!!!

Answers

f(x) is linear.

g(x) is exponential.

F(x) is linear! Remember, linear functions have a set amount of rate of change, in this case it’s 2! G(x) is a exponential function because instead of going down by a certain amount, it’s simply going down by half.

Hope this helps!

What is 2 rounded to the nearest whole number?

Answers

Answer:

2

Step-by-step explanation:

A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

____meters by ___ meters

Answers

Answer:

18 meters by 9 meters (or 9 meters by 18 meters)

Step-by-step explanation:

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters

Write the integer from least to greatest. 4, 12, -12, -11

Answers

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

3. Write the equation of the altitude from B for A(-7,-5) B(-5,5), C(2, 1).

Answers

Answer:

  y -5 = -3/2(x +5)

Step-by-step explanation:

The altitude from B is perpendicular to segment AC. The slope of segment AC is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3

The slope of the altitude line will be the opposite reciprocal of this, so is ...

  -1/m = -1/(2/3) = -3/2

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)

_____

Additional comment

The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.

  y = -3/2x -5/2 . . . . . slope-intercept form

 3x +2y = -5 . . . . . . . standard form

Find the area of the circle. Use 3.14 for pi *
87.9
614.5
153.8
43.9

Answers

Answer:

614.5

Step-by-step explanation:

Hope this helps!

Answer:

87.9

Step-by-step explanation:

The formula for the area of a circle is pi times r to the power of two, written as πr^2. so we input our values.

πr^2

(3.14)(14^2)

(3.14)(196) ≈ 87.9

f(x) = -4(x+2) what is f(4)

Answers

Answer:

-24

Step-by-step explanation:

f(4)= -4(x+2)

f(4)= -4(6)

f(4)= -24

Answer:

F(x)=-4(x+2)

0=-4-8

4x=-8

X=-2

So,-2×2

-4

Step-by-step explanation:

Have a great day!

HELPPP EASY MATH IM IN 5 GRADE

Answers

I’ll help comment the questions and I’ll answer

Answer:

What's the question of the problem

?????????????????????​

Answers

Step-by-step explanation:

Distributive property

I NEED HELP PLEASE will give crown

Answers

Answer:

hey. use cymath. its easier and youll me able to answer more questions like this. it also shows you the whole process. here look:

Step-by-step explanation:

Simplify each expression by filling in the box.

Answers

Answer:

1. (2^3)^3 = 2^x  x=9

2. 4^x  x = 6   5^y  y= 9

3. 3^6/3^3 = 3^x   x = 3

Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi

143
21
7
5

and if you can go answer my other questions????? plzzz

Answers

Diameter is 1.41 if you use the formula it’s suppose to give you 1.41

What forms of the following equation in?

y=5x−3

Answers

5x-y=3
Not sure if it’s correct
the equation appears to in slope-intercept form

for future reference, slope-intercept form is written as: y=mx+b
m=slope and b=y-intercept

Please Help

Factor the polynomial: x^3 + 3x - 2x - 6

Answers

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

(Uhm....This is a question out of maths) How many floors are 78 steps

Answers

well how many steps are in one floor?

Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.5 hours and charged her $159 for parts. The total was $456.50. Write and solve an equation which can be used to determine x x, the cost of the labor per hour.

Answers

Answer
456.50=159 + 3.5x
OR
3.5x=456.50-159

Reason
456.50 is the total
159 is for the parts
3.5 is the number of hours

So to find the cost you have to find out how much it cost for the labor by subtracting the total cost from the cost of the parts. To find the cost of labor for each hour you have to divide the total cost of labor by the number of hours used to work on the computer

The equation to represent the problem is written as

$456.50 = 3.5x + $159

the cost of the labor per hour is $85.

How to determine the cost of the labor per hour

Let x be the cost of the labor per hour.

The technician worked on the computer for 3.5 hours, so the labor cost would be 3.5x.

The total cost, including the labor and parts, was $456.50.

So, we can set up an equation to represent the total cost:

Total cost = Labor cost + Parts cost

$456.50 = 3.5x + $159

Solving for x:

Subtract $159 from both sides:

$456.50 - $159 = 3.5x

$297.50 = 3.5x

Finally, divide both sides by 3.5 to find the value of x:

x = $297.50 / 3.5

x = $85

Therefore, the cost of the labor per hour is $85.

Learn more about writing equation

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When looking at a graph, explain how you would know two variables were not proportional.

Answers

Answer:

a straight line that does not go through the origin.

Find the domain of the expression.

the square root of x+5

Answers

See attachment for answer and math work.

Answer:

Step-by-step explanation:

"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)

Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative

SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5

There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.

Describe the slope of the line with the equation
y = -4x + 10.

A: positive slope

B: negative slope

C: zero

D: undefined

Answers

[tex]\huge \tt༆ Answer ༄[/tex]

The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4

And therefore, the slope of the line is B

Negative
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