Max can select 3 toppings from 10 available toppings for his pizza in 120 ways.
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
Thus number of ways in which Max can select 3 toppings from 10 available toppings for his pizza is 10C3
=[tex]\frac{10!}{7!3!}[/tex]
= [tex]\frac{8.9.10}{3!}[/tex]
= 120
Thus Max can select 3 toppings from 10 available toppings for his pizza in 120 ways.
Learn more about Permutations and combinations here :
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Find the surface area.
17 ft
8 ft.
20 ft
15 ft
Need this fast
Answer:
920 square feet
Step-by-step explanation:
Top: 20 * 17 = 340
Side triangles: 8 * 15 / 2 = 60
2 side triangles: 60 * 2 = 120
Back rectangle: 8 * 20 = 160
Bottom rectangle: 15 * 20 = 300
All of them: 340 + 120 + 160 + 300 = 920
The surface area is the sum of the area of the two similar triangles and the area of the three rectangles. Then the surface area of the geometry will be 920 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The surface area of the geometry will be
The surface area is the sum of the area of the two similar triangles and the area of the three rectangles.
The area of the rectangles will be
Area of rectangles = 8 x 20 + 15 x 20 + 17 x 20
Area of rectangles = 160 + 300 + 340
Area of rectangles = 800 square feet
The area of the triangles will be
Area of triangles = 2 x 1/2 x 15 x 8
Area of triangles = 120 square feet
Then the area of the geometry will be
Area of geometry = 800 + 120
Area of geometry = 920 square feet
More about the geometry link is given below.
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3, 5, 6, 1, 3, 11,7
Mean
Range =
Median =
IQR =
Mode =
Variance =
Midrange=
Standard Deviation
Answer:
range= 10
median= 5
mode= 3
Variance= 11 (rounded) normal answer without rounding 10.809524
Midrange= 6
write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answer:
y-1=-3(x+2)
Step-by-step explanation:
Which are perfect cubes? Check all that apply.
64
x16
8x3
27x4
81x6
125x9
and pls tell me how to find a perfect cube i will mark brainlyesr
Answer:
64x16=1024
8x3=24
27x4=108
81x6=486
125x9=1125
Step-by-step explanation:
Braineist please
Answer:
A=64 C=8x^3 F=125x^9
Step-by-step explanation:
♥☺
solve the proportion X-16/x+6 = 3/5
Answer:
x = 49
Step-by-step explanation:
Given
[tex]\frac{x-16}{x+6}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides
5x - 80 = 3x + 18 ( subtract 3x from both sides )
2x - 80 = 18 ( add 80 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
Answer:
x = - 49
Step-by-step explanation:
Solve for X by cross multiplying.
What is the solution to 5x-2<13
Answer:
x<3
Step-by-step explanation:
Step 1: Add 2 to both sides.
5x−2+2<13+2
5x<15
Step 2: Divide both sides by 5.
5x/5 < 15/5
x<3
What is the value of y in the product of powers below? 8^3x8^-5x8^y=8^-2=1/8^2
Prove one pair of opposite sides are congruent and parallel
Answer:
AB PARALLEL TO DC AND AD WITH BC
Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?
Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
En la primera estapa subió el 20% (un quinto):
Primera etapa= 225*0.2= 45 metros
En la tercera etapa subió 25% (un cuarto):
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
please help. i will give brainliest
the question is in the picture below
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Answer:
B. The y-intercept is located at (0,70)
Step-by-step explanation:
This is because 70 is on the y part of table. Hope this helps!
The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10
Answer:
-11.3 is the answer
Step-by-step explanation:
because -3.4-7.9= -11.3
*URGENT* Would it be better to invest at 6% APR compounded annually or 6% APR compounded
continuously?
Step-by-step explanation:
step 1. compounded annually gives you interest once a year.
step 2. compounded continuously gives you interest every split second and then gives you interest on interest!
step 3. getting interest on your money continuously is better.
Solve the system of equations by elimination:
−5x+3y=2
−5x−5y=−30
Answer: 1 : -5x + 3y = 2 Equation 2 : -5x - 5y = -30 Because both equations the system of equations by elimination.
Answer:
(2,4)
Step-by-step explanation:
multiply both sides by -1
-5x+3y=2
5x+5y=30
sum the equations vertically to eliminate at least one variable
8y=32
divide both sides by 8
8÷32=4
y=4
substitute the given value of y into the equation
-5+3×4=2
solve the equation for X
x=2
check ordered pair (2,4) is the solution of the system of equations
-5×2+3×4=2
-5×2-5×4= -30
2=2
-30=-30
solution is (2,4)
Plz help I don’t get this
What is the first error Holden made in his proof?
Answer:
Step-by-step explanation:
He didn’t show his work.
Answer:
Holden wanted to build “Australia's Own Car” and in 1948 the first Holden car was produced.
Hope this helps, pls mark me as brainliest
Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the circle to the other side. Line segment A B is outside of the circle and intersects the circle at point B.
In circle D, which is a secant?
EF
DC
Line segment A B
Line G H
A secant crosses the circle without passing through the center
The secant line is (c) line segment AB
How to determine the secant lineFrom the question, we understand that line segment AB passes through the circle, without passing through the center (i.e. point A) of the circle
This indicates that line segment AB is a secant
Given that the center of the circle is point D
Hence, the secant line is (c) line segment AB
Read more about secants at:
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Answer:
D. Line GH
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:
Answer:
they are both exponential funtions
Step-by-step explanation:
because i got it wrong and im telling you the answer
Answer: Both exponential
Step-by-step explanation:
Khan Academy- answered before and got it right
A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2
Answer:
The answer is C)344 m2
Step-by-step explanation:
6 x 7 x 2
7 x 10 x 2
6 x 10 x 2
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
6
0
I + 2y
23 Зу
--
26
42 2y = -6
y = 2.c 4
O
-
.
2.0
y = 4
62 — 3y = 12
On a coordinate plane, if you take a point from (2, -5) and move it up 3 units to point "A" what is the distance of point a to coordinates (5, 0)?
A. 3
B. Square root of 11
C. Square root of 13
D. 5
Answer:
C
Step-by-step explanation:
(2,-5) move up three steps is (2, -2). if you draw it on a paper(and draw lines to connect them), you can see that they form a right triangle. apply a²+b²=c² and you should get 3²+2²=(√13)²
First we need to find the point after the translation of 3 units up.
(2,-5)->(2,-2)
Now we have the point (2,-2) we just need to use the difference formula to find the distance between this point and (5,0)
Distance=[tex]\sqrt{(5-2)^2+(0-(-2))^2}[/tex]
Now we need to simplify/solve this expression
=[tex]\sqrt{3^2+2^2}[/tex]
=[tex]\sqrt13[/tex]
Therefore the answer is C!
Can pls help me with my homework plss
[tex]cos \: k = \frac{adj}{hyp} = \frac{5}{13} [/tex]
//
I'm unsure about what to do after that but you can:
[tex]cos( \frac{5}{13} ) = 0.999977469[/tex]
[tex]cos \: k = 1.00[/tex]
or
[tex] \frac{5}{13} = 0.384615385[/tex]
[tex] = 0.38[/tex]
I think the first one's safer.
A(n) ________________ is a statement that two quantities are not equal.
I need help with the picture. please
you have to use the order of operations (PEMDAS)
x=3
7+5(3)
MULTIPLACTION FIRST
7+15= 22
so the first was wrong because she added before multiplying
x= 4/5
7+5(4/5)
MULTIPLICATION FIRST
7+4= 11
the second was wrong because she added before multiplying again
How tall are 2 chairs stacked together? The height of the chairs
5 chairs are 51 inches high
3 chairs are 45 inches high
8 chairs are 60 inches high
Answer: 20.4 damm this easy
answer my question PLEASE
Answer:
jahshh83828
Step-by-step explanation:
iwhdbwowhei2kdhe829274
12.92 divided by 3.4 And if you can put how you solved it that also would be great
Answer:
The answer is 3.8
Step-by-step explanation:
Change the divisor 3.4 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
129.2 ÷ 34 = 3.800000
and therefore:
12.92 ÷ 3.4 = 3.800000
Both calculated to 6 decimal places.
( In 3.800000, you can take away the zeros, which will be equal to 3.8 )
I hope this was helpful! :)
The sum of five-sixths of f, one-half of p, and 3
Answer:
The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]
ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS
Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
(y) on a graph. Which statements are correct?
Answer:
B and E
Step-by-step explanation:
trust me its correct
A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy does. How much does the big puppy weigh?
Answer:
2 5/7
Step-by-step explanation:
In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.
The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.