A natural history museum surveyed the people visiting the museum for one month and created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph.
1. Age 18 and under:
2. Age 19 – 44:
3. Age 45 – 64:
4. Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how many visitors were there for each age group?
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:

Answer:

Step-by-step explanation:

[tex](-2\frac{1}{2},3\frac{1}{2})[/tex]

Since, x-coordinate is negative and y-coordinate is positive, point will lie in the 2nd quadrant.

Answer is point P.

(-3, 6)

Point L represents the given coordinates.

[tex](-4\frac{1}{2},2)[/tex]

Point P represents the given coordinates.

[tex](2\frac{1}{2},2\frac{1}{2})[/tex]

Since, x and y coordinates are positive, point will lie in the 1st quadrant.

Point Q represents the given coordinates.

[tex](-1\frac{1}{2},-3\frac{1}{2})[/tex]

Since, both x and y coordinates are negative, point will lie in the 3rd coordinate.

Point R represents the given coordinates.

Answer:13.5/m/sin

Cm/min=81000cm/min

Step-by-step explanation:

Answer:

Supplementary angles add to 180 degrees.

Angles of a triangle add to 180 degrees.

So, the angles of this triangle are 2x, 3x, and 70.

This means we can have the equation: 5x+70=180, and 5x=110, meaning that x=22

Let  me know if this helps!

Answer:

22

Step-by-step explanation:

So first things first we want to find the angle on the bottom right

That angle is supplementary to the one that is equal to 110 meaning that together they will add up to equal 180

180-110=70

We know that the angles of a triangle will add up to equal 180 so we set up an equation

180=70+2x+3x and solve for x

step 1 combine like terms

2x+3x=5x now we have

180=70+5x

step 2 subtract 70 from each side

180-70=110

70-70 cancels out

now we have

110=5x

step 3 divide each side by 5

110/5=22

5/5 cancels

x=22

so we can conclude that x=22

The1AndOnlyMarkus

Answer:

sorry

Step-by-step explanation:

Answer: (A) y=-2x

Step-by-step explanation:

Lets plug in the point (2,-4) for each equation.

-4=-2(2) this is correct

-4=2*2

-4=4 This cannot be true

-4=-2+3 =-4=1 This is false

Lastly, -4=2-4 this is false because -4 can't equal to -2.

So, A is the answer

Answer:

4 hours

Step-by-step explanation:

I found the average

(3+5)/2

8/2 = 4

This is probably wrong because logically it wouldn't make sense for them to take longer than 3 hours if two people are cleaning but i dont know

Answer:

1 7/8 hours

Step-by-step explanation:

x/3+x/5=1

5x+3x=15

8x=15

x=1 7/8 hours

Answer: 1/2 o .5

Step-by-step explanation:

Answer: 2/4 = 0.5

Espero que ayude

Answer:

Step-by-step explanation:

The second set. It contains (2,2) and (2,7), so it fails the vertical-line test.

to figure out the area you have to use the formula 1/2 base times height.

Step-by-step explanation:

first step while implementing the elimination method is to look at the numbers which can be multiplied to which in order to have like terms as solved below

as you can see in equation number 2 that the number three can be multiplied with equation 1 in order to have like terms so you can cancel them out

so , multiply 3 with the whole of equation 1

3( 2x + y = -4 )

= 6x + 3y = -12

( keep in mind the sign of the number)

5x -3 y = 1

now ,

we have

6x + 3y = -12

5x -3y = 1

as you can see that now we have like terms and when we add both these equations the like terms cancel out each other as they have opposite signs ( + - gives you - )

so , once you add the like terms this is what you will get

6x + 5x +3y-3y -12+1

= 11x + 0 - 11

then you can simplify this further for x first

11x = 11

x = 11/11

x = 1

now we have the value of x let's simply further for y

let's take equation 2

5(1) - 3y =1

5 -3y = 1

5-1 = 3y

4 = 3y

4/3 = y

to confirm your values you can put these values in one of the two equations given initially , let's use equation two to check .

5x-3y = 1

( now let's place the values of x and y into the equation and see if our answer is 1 )

5 (1) - 3 (4/3)

= 5 - 4

= 1

it is correct

a = 7

Answer:

b= 7 * (1 + 8)

Step-by-step explanation:

hope it helps

Answer:

hello

Step-by-step explanation:

ok so he had 120 brinjal plants 90 ladys finger plant 45 chilli plants

ok so a storm came along

120/12

90/3

45/29

i think its right if not im so sorrry

Step-by-step explanation:

Given

[tex]slope(m) = 5[/tex]

y-intercept (c) = 12

Now the equation of the line is

y = mx + c

y = 5x + 12

Hope it will help :)❤

Answer:

259 /18 = 14  7/18  ≈14.389

Step-by-step explanation:

Answer:

80 students decided to take a vanilla cupcake.

Step-by-step explanation:

100 * 0.80 = 80

Answer:

Step-by-step explanation:

(x+1)(x+6)/(x+1) = x + 6

(x-19)(x+2)/(x+2)= x - 19

(x-8)(x-2)/(x-2)= x - 8

Answer:

x+6 x-19 x-8 from top to bottom

Step-by-step explanation:

Hope this helps give brainliest if you can

Answer:

1) x=50

2) x=25

3) Option 2 is correct

Step-by-step explanation:

1) 20/20=x/50

x=50

2) 20/40=x/50

x=25

3) Option 2 is correct

Answer:

y = 5/6x + 1

Step-by-step explanation:

rise over run method:

if you count up and across from the first yellow point to the second, you get 5 up 6 across making the slope 5/6

it is positive because it goes up

the y intercept is 1

Answer:

1360 would be your answer

Step-by-step explanation:

Answer:

commutative property

Step-by-step explanation:

Let's organize our given information.

[tex]\frac{dh}{dt}=-1[/tex]

[tex]\frac{dV}{dt}=-2341[/tex]

[tex]\frac{dr}{dt}=?, h=1010, V=577[/tex]

[tex]V=\pi r^2h[/tex]

What I'd like to do is solve for [tex]r[/tex] first, it'll help later.

[tex]577=\pi r^2(1010)[/tex]

[tex]r=\sqrt{\frac{577}{1010\pi}}[/tex]

[tex]r=0.426[/tex]

Now, we can differentiate our formula for the volume of a cylinder to find the rate of change of the radius.

[tex]V=\pi r^2h[/tex]

Use the product rule of differentiation.

[tex]\frac{dV}{dt}=2\pi rh\frac{dr}{dt}+\pi r^2\frac{dh}{dt}[/tex]

Plug in the information we are given.

[tex]-2341=2\pi (0.426)(1010)\frac{dr}{dt}+\pi (0.426)^2(-1)[/tex]

Solve for [tex]\frac{dr}{dt}[/tex].

[tex]-2341=860.52\pi\frac{dr}{dt}+(0.426)^2\pi[/tex]

[tex]-2341.57=860.52\pi\frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt}=-0.866[/tex]

The rate of change of the radius is -0.866 centimeters per minute.

Hope this helps!

Answer:

2340

Step-by-step explanation:

Answer:

2340

Step-by-step explanation:

Answer:

£2,121.8

Step-by-step explanation:

Given the following;

Principal P = £2000

Rate r = 3%

Time t = 2 years

n = 1 (time of compounding)

Using the compound interest formula;

A = P(1+r)^t

A = 2000(1+0.03)^2

A = 2000(1.03)^2

A = 2000(1.0609)

A = 2,121.8

hence the amount that will be in his account after 2 years is £2,121.8

Answer:

     8.25

   _________

12|  99

     96

   __________

     30

     24

   __________

     60

     60

   _________

      x

Answer:

890

Step-by-step explanation:

69-80=90

Answer:

Step-by-step explanation:

If x=(-2,-6) are zeros of the function y then

y=(x+2)(x+6) which expands to

y=x^2+8x+12

Answer and Step-by-step explanation:

347

Answer: 347.0

Step-by-step explanation:

Answer: to be true  I don't understand this

Step-by-step explanation:

Answer:

27 degrees ( option A)

Step-by-step explanation:

It is the only option that is smaller than 33 degrees,  (which is because SRT ~ PQB) and it is dilated by a fraction

Answer:

q=33

Step-by-step explanation:

is the correct answer because we can see that r=q