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You have six pizza toppings. How many different 3-topping pizzas can you make?
20
24
120
30
Answers
20 different pizzas
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Explanation:
Consider 3 slots to fill. I'll label them slot A, B, C.
There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.
There would be 6*5*4 = 30*4 = 120 permutations if order mattered.
However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)
We get 120/6 = 20 as the final answer
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Alternatively, you can use the nCr combination formula following these steps.
n C r = (n!)/(r!(n-r)!)
6 C 3 = (6!)/(3!*(6-3)!)
6 C 3 = (6!)/(3!*3!)
6 C 3 = (6*5*4*3!)/(3!*3!)
6 C 3 = (6*5*4)/(3!)
6 C 3 = (6*5*4)/(3*2*1)
6 C 3 = (120)/(6)
6 C 3 = 20 different pizzas possible
As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.
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Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20
Related Questions
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
Answers
Answer:
The equation t = d + 16 represents the scenario
Step-by-step explanation:
The independent variable, the input, is the variable d, representing distance. The distance traveled depends on the amount of time Marlene rides her bike. The initial value of the scenario is 16 miles per hour. so The equation t = d + 16 represents the scenario
Hope it helps!!!brainliest pls!!!
What is the total area of the three triangles? 12. 5 square units 13 square units 13. 5 square units 14 square units.
Answers
Answer:
53 square units
Step-by-step explanation:
12.5+13+13.5+14
I need the answer for this equation
Answers
Answer:
10 is the answer
Step-by-step explanation:
Let squares be x, triangles be y and circle be z
Now,
x³ = 27
so, x = 3
Now,
x * y * y * y = 24
or, 3 * y³ = 24
or, y³ = 24/3
so, y³ = 8
so, y = 2
Again,
x * y * z² = 96
or, 3 * 2 * z² = 96
or, 6z² = 96
or, z² = 96/6
so, z² = 16
so, z = 4
Now,
z + x*y = 4 + 3*2 = 4 + 6 = 10
Simplify 6m+(m-2)(m+7)+3
Answers
Answer:
Hi I'm always here to help!!
______________________________
m² + 11m − 11
______________________________
Have a great day!!!
Find the length of the side of a rhombus whose diagonals are 6cm and 8cm.
Answers
Answer:
Step-by-step explanation:
Use the rhombus area formula to find it.
A = [tex]\frac{diagonal 1 * diagonal 2}{2}[/tex]
A = (6*8) / 2 = ...
show that the area of a square A inscribed in a circle with radius r is A=2r square
Answers
Answer:
see below and see image.
Step-by-step explanation:
"inscribed" means the four corners (vertices) of the square are on the circle.
The diagonal of the square is the diameter of the circle. Use special right triangles or pythagorean thm to find the side length of the square in terms of r. Use Area formula for a square:
A = s^2 OR s×s
see image.
The diameter of a circle is 2 centimeters. What is the circle's area?
Answers
Answer:
3.14 cm²
Step-by-step explanation:
Given :-
Diameter = 2 cm
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 1 x 1
= 3.14 x 1
= 3.14 cm²
Solution :-
3.14 cm²
Solution:
We know that:
Diameter of circle = 2 cmRadius = Diameter/2Area of circle = πr²Finding the radius.
Radius = Diameter/2=> Radius = 2/2=> Radius = 1 cmFinding the area.
Area of circle = πr²=> Area of circle = 3.14 x 1²=> Area of circle = 3.14 x 1 = 3.14 cm²PLZ HELP!!!!!! It’s due by today .. I will make you the brainliest
Answers
Answer:
draw a line like this / through zero than draw another line like this \ through zero
Step-by-step explanation:
Find the equation of the line.
Use exact numbers
Help me out!
Answers
itss in mathswch so it needs to be right marking brainliest!
Answers
Answer:
yea ur rightStep-by-step explanation:
yea ur right yea ur right yea ur right
how would i find the area of this
Answers
Answer:
Your answer is 30 sq. yd
Step-by-step explanation:
To find the area of the rectangle:
l x w
6 x 4 = 24
To find area of triangle:
1/2(bh)
to find the base of the triangle you subtract 6 from 9:
9 - 6 = 3
So 1/2 (3 x 4)
1/2 (3 x 4)
1/2 (12)
12 / 2 = 6
Area of whole figure:
You will now add 6 + 24 = 30
30 Will be your final answer
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 1.5
Step-by-step explanation:
Find the square root of 144.
A. 72
B. –12
C. 12
D. 1 over 12
Answers
Answer:
C
Step-by-step explanation:
12 x 12 is 144.
I hope I helped
Answer:
C
Step-by-step explanation:
Square root is a number multiplied by the same number to get an answer
144/12 is 12 and
12 x 12 = 144
By rounding to 1 significant figure, estimate the value of 48.7 x 61.2
11.3
Answers
Answer : 263
Rounded (1 s.f ) = 300
A broken pottery shard found at an archaeological dig has a curved edge. Find the diameter of the original plate. (Use the fact that the diameter of PR is a
perpendicular bisector of chord AB.)
Answers
Answer:
The answer to this question is 18 1/ 2 degrees
Step-by-step explanation:
If anyone doesn’t mind, can someone help with this one
Answers
Answer:
x = 20 degrees, angle ABC = 98 degrees
Step-by-step explanation:
The two inner angles sum up to 180 degrees. This is a general rule when you have two parallel lines and another line intersecting through both lines.
So angles ABC and DCB sum up to 180.
4x + 18 + 2x + 42 = 180
6x + 60 = 180
6x = 120
x = 20 degrees
Plugging this back in angle ABC,
4(20) + 18 = 98 degrees
Find the speed of a dog running 135 meters (m) to the right in 16s.
Answers
Based on the calculations, the speed of the dog is equal to 8.44 m/s.
Given the following data:
Distance = 135 meters.Time = 16 seconds.To calculate the speed of the dog:
What is speed?Speed can be defined as the distance covered by an object or living organism per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Speed = \frac{135}{16}[/tex]
Speed = 8.44 m/s.
Read more on speed here: brainly.com/question/10545161
What is the value of q/ 6+(12−r), when q = 4 and r = 38?
A 7/ 12
B 14/ 19
C 19/ 24
D 21/ 25
Answers
Answer:
The answer to the value of q is 19/24
NEED HELP ASAP!!!!
Determine the solution for x? - 3x - 28 >= 0
A. [-7, 4]
B. [-4, 7]
C. (-infiniti, -4] or [7,infiniti)
D. (infiniti,-7] or [4,infiniti]
Answers
Answer:
I believe its c or a
Step-by-step explanation:
just guess those are my suggestions
The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days, if you start with 7,600 grams of it?
Answers
Answer:
950
Step-by-step explanation:
A=P*(1/2)^(t/h)
Helpp meeee question 2 pleaseee !!
Answers
Answer:
C is Cassandra's age, it is being multiplied by 2(Doubling). G is replaced by 9 and you will find the mother's age
Step-by-step explanation:
Given the circle below with tangent \overline{NO} NO and secant \overline{QPO} QPO . If QP=9QP=9 and QO=14QO=14, find the length of \overline{NO} NO . Round to the nearest tenth if necessary. Q
Answers
Given that that the lengths of the parts of the secant are, QO = 14 and QP = 9, we have that the tangent, NO = 17.9
How can the length of the tangent be found?
The given parameters are;
Length of side, QP = 9
Length of QO = 14
Required;
The length of;
[tex] \overline{no}[/tex]
From the tangent and secant formula, we have;
[tex] { \overline{no}}^{2} = { \overline{qo}} \times ( { \overline{qp} \: + { \overline{qo}}})[/tex]
Which gives;
NO^2 = 14 × (9 + 14) = 322
NO = √(322) = 17.9
The length of the side NO = 17.9Learn more about the tangent and secant theorem here;
https://brainly.com/question/26080631
What is the inverse of the trigonometric function in the graph? y = sinx y = cosx y = arcsinx y = arccosx
Answers
The inverse of the trigonometric function given in the graph is;
Option D; y = arc cosx
The graph is missing and so i have attached it.
To get the inverse of the trigonometric function, we need to first know what the trigonometric function is.From the graph, we see that;when x = 0, y = 1
when x = π, y = -1
when x = π/2, y = 0
Now, the equivalent of radian angle π when converted to degrees is; π = 180°
Thus; π/2 rad = 90°
Thus;
when x = 0°, y = 1
when x = 180°, y = -1
when x = 90°, y = 0
Now, let us look at the value of angle 0° for each trigonometric function sin, cos and tan.sin 0 = 0
tan 0 = 0
cos 0 = 1
Let us try angle 90°
sin 90 = 1
cos 90 = 0
tan 90 = ∞
The only trigonometric function that corresponds with the coordinates of the graph is y = cos x.The inverse of cos x is cos⁻¹x or arc cos x.
Read more at; https://brainly.com/question/9196410
Answer:
D
Step-by-step explanation:
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not
Answers
Answer:
Zoe is correct!
Step-by-step explanation:
The definition of an acute triangle is that all three angles are less than 90 degrees. An equilateral triangle has the angles 60, 60, and 60. All three are less than 90 degrees, so this means that an equilateral triangle is always an acute triangle.
However, that doesn't necessarily mean that an acute triangle is always an equilateral triangle.
PLEASE HELPP!!!!
Which number is an irrational number?
Answers
Answer:
D. [tex]\sqrt[3]{16}[/tex]
Step-by-step explanation:
What is an irrational number?
❖ An irrational number is a number that cannot be written in fraction
form. They're also non-terminating and non-repeating decimals.
Determing Irrational or Rational
A.
The square root of 100 is 10 because 10 × 10 = 100. 10 can be written as a fraction of 10/1, so it's rational.B.
1/8 is already in fraction form, so it's rational.C.
-2.2675 is a terminating decimal, so it's rational.D.
The cube root of 16 is irrational because there is no exact number that multiplies itself 3x to get 16. Additionally, when you put the cube root of 16 in a calculator, you will get a mess of decimal digits, thus forming a non-repeating and non-terminating decimal.Classify angle D in the figure as right, straight, acute, or obtuse.
Choose the correct classification for angle D.
A. Right
B. Straight
C.Acute
D.Obtuse
Answers
Answer:
C.
Step-by-step explanation:
The angle D. is acute
Question 3 of 10
Solve the formula A = r2 for r.
O A. T = VA
А
B. r =
0
C. r = VA - 7
O
D. r = VAT
SUBMIT
Answers
Simplity.
(x² – 2y + 7) (3x – 3)
A. Ty – 177 +55 - 21
B. 73 – 179² +5y-21
C. 77-7y2 +5y-21
D. Ty - 2y +557-21
-
Answers
Step byCombine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
¿Cuál es la suma de los ángulos interiores del polígono mostrado a continuación?
Answers
The sum of interior angles of the given polygon is 900 degrees
How to calculate the sum of an interior angle of a polygon?The formula used to calculate the sum of an interior angle of a polygon is expressed as:
Sum of interior angles = ( n − 2 ) × 180 ∘
n is the number of sides
The number of sides of the given polygon is 7, hence;
Sum of interior angles = (7 − 2 ) × 180 ∘
Sum of interior angles = 5 × 180 ∘
Sum of interior angles = 900 degrees
Hence the sum of interior angles of the given polygon is 900 degrees
Learn more on sum of interior angles here: https://brainly.com/question/20606675
PLEASE HELP I will give brainlest.How would Raquel share the brownies between herself and 2 friends? How much of the brownies will each person get? Use words, pictures, and an equation to explain your thinking.
Answers
Answer:
[tex]2\\\\ \frac{2}{4} = 2[/tex]
The [tex]\frac{2}{4}[/tex] simply means divide 2 by 4.
Each person will get 2 brownies.