In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

Answer:

24

Step-by-step explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27

Answer:

24 birdhouses

Step-by-step explanation:

This is a proportional relationship.  y = kx, where k is the constant of proportionality.  We can determine k as follows:

4 birdhouses = k(1 1/2  hours), which leads to:

  4 birdhouses

------------------------- = 8/3 birdhouses/hr

    3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses:  24 birdhouses

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

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https://brainly.com/question/23454979

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Answer:

20 times

Step-by-step explanation:

This is calculated as:

The number of coal China consumes ÷ The number of coal Japan consumes

The number of coal China consumes =4 × 10⁹

The number of coal Japan consumes

= 2 × 10⁸

4 × 10⁹/2 × 10⁸

= 20 times

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

Answer:

(y - 3 )² = 8 ( x - 4 )

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of parabola is

( y - k )² = - 4 ( P) ( x - h )

Now  p = 4 - x = 4 - 6 = - 2

And given value of ( k , h) = ( 4 , 3)

Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )

Or,  ( y - 3 )² = 8 ( x - 4 )

Hence The equation of parabola with directrix x = 6 And

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )     Answer

The answer  is (y - 3 )² = 8 ( x - 4 ).

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of a parabola is :

⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]

Now  p = 4 - x = 4 - 6 = - 2,

And given value of ( k , h) = ( 4 , 3)

Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]

Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]

Hence, The equation of a parabola with directrix x = 6 and

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )

Learn more about the equation of a parabola here: brainly.com/question/4061870

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Answer:

the answer is 20

Step-by-step explanation:

because if you add all of it you get 20

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

Answer:

Add 4 to both sides of the equation

8n-4=52

8n-4+_4=52+_4

Answer:

2

Step-by-step explanation:

Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9

Answer:

64 degree

Step-by-step explanation:

The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.

Here Angle BAC = 90 degree (as the angle between the tangent and normal)

Angle BAC = 26 degree,

The sum of all the angles in a triangle is 180 degree,

So,

angle BAC + angle ABC + angle ACB = 180 degree

26 degree + angle ABC + 90 degree = 180 degree

angle ABC = 64 degree

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The length of BC=20cm I think

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

Step-by-step explanation:

the volume of :

cone = ⅓π.r².r= ⅓π.r³

cylinder = π.r²r= π.r³

Sphere = 4/3 π.r³

for r = 9 in =>

the volume of:

14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³

15. cylinder = π.9³ = 729π in³

16. Sphere = 4/3 π.9³ = 972π in³

17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =

1 : 3 : 4

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Answer:

d) f(n) = 4 . 3^(n-1)

______________

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

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

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.

For example - In the attached picture,

Therefore, ΔKLM ≅ ΔXYZ

(By SAS criteria)

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Its right skewed

Answer:

[tex]\displaystyle m = \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m