A population of 17500 has
5000 children under the age of 10. What is the fraction, in its simplest form, of children under 10?

Answer:

There were 12 people at the party

Answer:

Step-by-step explanation:

Other answers have already shown that there are  n=12  people at the party, either using combinatorial choose notation

(n2)=n!2!(n−2)!=66  

or by counting handshakes person by person, noting that each successive person has one fewer unique handshake than the prior (as the previously counted people are disregarded), and then using the sum-of-consecutive-integers formula to get

(n−1)+(n−2)+...+2+1=∑n−1k=1k=(n−1)n2=66  

and solving for n .

Here I will provide another method of arriving at n(n−1)2=66.

Instead of keeping track of unique handshakes from the start, note that each person shakes hands with  n−1  other people. As there are n  people at the party, this gives us n(n−1)  handshakes. However, notice that we counted each handshake twice; for example, if Alice and Bob shook hands, we counted that once for Alice, and then again for Bob. To account for the double-counting, we can divide by  2, which gives us the previously mentioned formula of n(n−1)2.

As a side note, if we did not previously know the sum formula, we could use this as a combinatorial proof to show that it works. Also, if we account for repeated counting by dividing by k! , the number of permutations of k  objects, a similar method can be used to derive the chosen formula  (nk)=n!k!(n−k)!.

Answer:

c = 68

Step-by-step explanation:

Use pythagorean theorem, which states that [tex]a^{2} +b^{2} =c^{2}[/tex].

In this diagram, we are given the values of a and b.

a = 32      b = 60

Simply put these into the equation.

(32)^2 + (60)^2 = c^2

1024 + 3600 = c^2

4624 = c^2

Find the square root of both sides to solve for c.

[tex]\sqrt{4624}[/tex] = c

c = 68

Answer:

mean and range

Step-by-step explanation:

Answer:

h(x) = 3x - 6

Step-by-step explanation:

To find the inverse of a function, you have to switch the x- and y-values.

y = 1/3x + 2

x = 1/3y + 2

(x) - 2 = (1/3y + 2) - 2

x - 2 = 1/3y

(x - 2)(3) = (1/3y)(3)

3x - 6 = y

y = 3x - 6

Answer:

  see below

Step-by-step explanation:

In order by increasing number of angle marks, the vertices of the lower triangle are ...

  I H G

In the same order, the vertices of the upper triangle are ...

  H I E

Using these as the names of the triangles, we can write the congruence statement ...

  ΔIHG ≅ ΔHIE . . . . . matches the 2nd choice

Answer:

All of them

Step-by-step explanation:

2/2 is 1, and if the shaded part is 2/2, everything would be shaded.

Answer:

A, B, C, D

Step-by-step explanation:

2/2 is equivilant to 1. This means that to be equvilant to 2/2 the entire diagram would have to be shaded in.

Hope this helps! (Please consider giving brainliest)

Answer:

The new area is 20.75 square

Step-by-step explanation:

Answer:

B, i'm not quite sure though i hope this helped

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

I just took the test

Answer:

The endpoints of the segment are (7,2) and (10,4).

Step-by-step explanation:

Since it is being translated to the right, you add 3 to both x values.

Answer:

DDDD

Step-by-step explanation:

got it right on edge <3

Answer:

[tex] \boxed{c = -17} [/tex]

Step-by-step explanation:

[tex] = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17[/tex]

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

Answer:

10

Step-by-step explanation:

Use the Pythagorean theorem: a^2+b^2=c^2 to find the hypotenuse

a=6

b=8

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

Hope this helps! :)

Answer:

10 cm.

Step-by-step explanation:

By Pythagoras:

BC^2 = 6^2 + 8^2

BC^2 = 100

BC = 10.

[tex]y = - 2047 \\ x = - 10125[/tex]

Step-by-step explanation:

[tex]y = 2x + 3 \\ x = - 2 - 10123 \\ x = - 10125 \\ y = 2( - 10125) + 3 \\ y = - 20520 + 3 \\ y = - 20247[/tex]

Answer:

C

Step-by-step explanation:

-4d is greater or equal to -12

d is less  than  or equal to 3

Answer:

c

Step-by-step explanation:

c is the answer

Answer:

10ftx15ft could be possibility.

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

1900(x)^4= 1900+152

1.019 and is closer to 2%

Answer:

A

Step-by-step explanation:

Graphed below are all 5 graphs. The one in red is the original, but it cannot be seen because it is entirely concealed by the blue graph, or graph A. Since they are the same graph, they must share all characteristics, including a maximum value. Therefore, the correct answer is choice A. Hope this helps!

Answer:

-3(x - 1)^2+12

Step-by-step explanation:

Have a good day :)

Answer:

Hello, the answer to this question is A the other person is wrong

Step-by-step explanation:

Answer:

A) –2x + 3

Step-by-step explanation:

Answer:

This is biased.

Step-by-step explanation:

A used car lot tends to have cheaper cars, so people who can't afford brand new cars come here to buy used cars.

Answer:

35.06 meters

Step-by-step explanation:

This represents a right angled triangle.

The height of the kite above the ground represents the opposite side while the length of the string of the heather of the kite is the hypotenuse.

We need to find the hypotenuse, h.

We can use the sine part of the trigonometric function SOHCAHTOA:

sin(Ф) = opp / hyp

where opp is the side opposite the angle

hyp is the hypotenuse

=> sin(53) = 28 / h

h = 28 / sin(53)

h = 35.06 meters

The length of the string from the heather to the kite is 35.06 meters

Answer:

-7 and 3

-5 and 1

-3 and -1

They all give the same total i.e. -4

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

The total is -4

Answer:

a) 21, 24, 29

b) 5 terms in the sequence are less than 50

Step-by-step explanation:

[tex]t_n = n^2+20\\t_1 = 1^2+20 = 1+20= 21\\t_2 = 2^2+20 = 4+20= 24\\t_3 = 3^2+20 = 9+20= 29\\\\\\t_5 = 5^2+20 = 25+20= 45\\\\\\t_6 = 6^2+20 = 36+20= 56\\[/tex]

Since, 5th term is less than 50 and 6th term exceeds 50, therefore 5 terms in the sequence are less than 50.

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

To solve more questions on spiral motion, visit the link below -

https://brainly.com/question/11020427

#SPJ2

7!/2!

Step-by-step explanation:

nCr=(nr)=n!r!(n−r)! 7C2=(72)=7!2!(7−2)!=7!2!⋅5!=50402⋅120=5040240=21.

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

Answer:

5x² + 10

Step-by-step explanation:

5(x² + 2)

= 5x² + 10

Answer:

4y^2 + 12y + 9

Step-by-step explanation:

Unclear what your (2y + 3) represent.  If it's the length of one side of the square, please say so.

If that's the case, then the area of the square is (2y + 3)^2, or 4y^2 + 12y + 9, which is a trinomial.

Answer:

see explanation

Step-by-step explanation:

The area (A) of the square = s² ( s is the measure of the side )

Here s = x + 2 and A = 7 , thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

Answer:

(x + 2)² = 7  

x² + 4x + 4 = 7  

x² + 4x = 3

Step-by-step explanation:

Answer:

B. Equilateral triangle

Step-by-step explanation:

The shape that contains exactly three congruent sides is an equilateral triangle.