in a town of 120 people,it is know that 40 are teachers,25 are students and 9 are doctors amd the rest are office workers.what is the possibility that he or she is an office workers?​

Answer:

4x+12

Step-by-step explanation:

4(x+3)=4x+12.

You use the distributive property by multiplying both numbers in the parentheses by 4

Answer:

4x +12

Step-by-step explanation:

Distributive property: a*(b + c) = (a *b)+(a *c)

Here, a = 4 ; b = x and c = 3

4*(x + 3) = 4*x + 4*3

             = 4x + 12

Answer:

15.7 in

Step-by-step explanation:

You can use the below formula to find the circumference of the circle.

C = π × d

Here,

d ⇒ diameter ⇒ 5 in

Let us find it now.

C = π d

C = 3.14 × 5

C = 15.7 in

Answer:

The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.

________________________________________________________

Set C as your substitute for circumference.

[tex]C =[/tex]

Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².

[tex]C = \pi d[/tex]

[tex]d = 5[/tex]

Lastly, ignore C, and multiply pi by the diameter, d.

[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding

________________________________________________________

Ask in the comments box.

Answer:

480 [tex]cm^2[/tex]

Step-by-step explanation:

8 x 6 x 10

Length x Width x Height.

If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A designer is adding a pendant to a jewelry collection.

The shape of the pendant can be defined by the equation

[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]

If the largest dimension of the pendant is 10 cm wide then the greatest length will be

[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]

More about the function link is given below.

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Answer:

1.25 cm

Step-by-step explanation:

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

Answer:

A- 900 degrees

B- 1800 degrees

C- 540 degrees

The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.

The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Let n be the number of years such that if the numbe r keeps doubling then:

an = 2n

First term a = 30000 (iniital value)

Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000

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Answer:

5,184 cubic inches

Step-by-step explanation:

Step-by-step explanation:

The ratio's can be expressed as fractions and you may compare those.

In order to compare fractions you need to bring them into equal denominator.

8 and 9 have LCM of 8*9 = 72 since they have no common factors.

The equivalent fractions with common denominator are:

Now we can compare the fractions:

Answer:

Area = 202 in^2

Step-by-step explanation:

Divide those into pieces to solve for each area and then add the area together.

Left Rectangle:

13 in * 4 in = 52 in^2

Right Rectangle:

15 in * 10 in = 150 in^2

Total Area = 117 in^2 + 150 in^2 = 202 in^2

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

Kirsty's Average speed is not greater than 80km/h

Speed is the rate of change of distance.

Analysis:

length of road = 4350m = 4350/1000km = 435/100km

time taken = 205 seconds = 205/3600 hour

Her Speed = 435/100 ÷ 205/3600 = 435/100 x 3600/205 = 76.4km/h

In conclusion, Kirsty's average speed is not greater than 80km/h.

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Answer:

I think the answer is b sorry if the answer is wrong

Answer:

19/8

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}[/tex]

Answer:

B. 32°

Step-by-step explanation:

Finding ∠S and ∠R

Similarly, ∠P = ∠Q (same reason as above)

Applying the Angle Sum Property of Quadrilaterals,

Finding the missing angles of the triangle

Applying the Angle Sum Property of Triangles,

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

Answer:

x=1, y=10

Step-by-step explanation:

I'm gonna use the method of substitution.

2x+3(3x+7)=32

2x+9x+21=32

11x=11

x=1

y=10

Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².

The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).

Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:

Plug in the values into TSA = 2(wl + hl + hw):

Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²

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Answer:

  1/3

Step-by-step explanation:

Your choice of answer must be consistent with the instructions.

The only answer with no exponent is the correct one:

  1/3

__

The rules of exponents tell you ...

  (a^b)(a^c) = a^(b+c)

  3^(-4) × 3^3 = 3^(-4+3) = 3^-1

and

  a^-b = 1/a^b

so

  3^-1 = 1/3^1 = 1/3 . . . . written without an exponent

Answer:

however big her wall is. if you give me how big her wall is i can help u more on this

Step-by-step explanation:

Answer:

a = 70 degrees.

Step-by-step explanation:

Use this circle angle theorem:

The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.

So m < a = 1/2 * 140 = 70 degrees.

Answer: 1.8 cubic cm

Step-by-step explanation:

Answer:

[tex]x^2[/tex] + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

Answer:

12

Step-by-step explanation:

20*2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies total

240-(38*6) = 12

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.

We need to find many cookies that are left unsold and if they work from 6:00 am till noon.

20 x 2= 40 cookies per hour,

she is working 6 hours so she sells 240 cookies

The total

= 240 - (38 x 6)

= 12

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Answer: x = 29

Step-by-step explanation:

Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)

Answer:

i do not understand how you wrote this please explain better

Step-by-step explanation:

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]

Let's Solve:

    Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5

Thus the distance between the points is 5

Hope that helps!

Answer:

X is the value of y so work it out mothe

Answer:

Since already answered i need points so yea

1. 2(8x – 1) + 2(2x + 4)

2. 16x – 2 + 4x + 8

3. (20x + 6)

Step-by-step explanation:

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

if i help please give brainly

Answer:

below

Step-by-step explanation:

A B C E

all of them but D