There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answer:

X=24

Step-by-step explanation:

(X+16)°+6x=180°(being co-interior angle)

7x=180-16

X=164÷7

X=23.428

X=23

or,

(3x-1)+5x=180(being co-interior angle)

8x=181

X=181÷8

X=22.625=23

hello! :p

area of shape one is 12

and area of shape to is 36

In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

Answer:

-37.675

Step-by-step explanation:

27.5 X -1.37 = -37.675

Answer:

A and D is representing the solution.

Step-by-step explanation:

We can see that the lines (A and D) are both intersecting at 3, 1. Remember, if the lines are intersecting at a point, that point is the solution of the equation. Therefore, Option B is correct.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

thats the answer

Step-by-step explanation:

because the filipinos are magaling sa math

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

Answer:

D) each input has only one output.

Step-by-step explanation:

Answer:

3. ASA

4. Corresponding sides of congruent triangles are congruent

Step-by-step explanation:

I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.

If the triangles are congruent, then all corresponding angles and sides are also congruent.

Answer:

5 5/8%, 5.6%, 5.51%, 5 1/2%, 5.099%

Step-by-step explanation:

5 5/8% reduces to 5.625…and 5.099% is the least because it isn’t even 5.1%…

So it goes—> 5.625%, 5.6%, 5.51%, 5 1/2% (5.50), and then 5.099%.

The descending order of interest rates is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

What is Descending Order?

When numbers are arranged in descending order, they are done so from  largest to least . We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in descending order: Determine how many digits each number has.

Given data ,

Let the total number of data be = 5

Now , the data can be represented in Set A = { 5.51% , 5 1/2% , 5 5/8% , 5.099% , 5.6% }

On simplifying the elements in the set , we get

5.51 % = 5.51 / 100

5 1/2 % = 5.5 / 100

5 5/8 % = 5.625 / 100

5.099 % = 5.099 / 100

5.6 % = 5.6 / 100

Now , the arranging the numbers in the descending order , we get

Hence , the interest rates in the descending order is

5 5/8 % > 5.6 % > 5.51 % > 5 1/2 % > 5.099 %

To learn more about descending order click :

https://brainly.com/question/13174148

#SPJ2

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

_________________

For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

_________________

[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

_________________

[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: [tex]\frac{18}{7}[/tex] and [tex]\frac{2}{1}[/tex]

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

[tex]\frac{18}{7}[/tex]  [tex]\frac{2}{1}[/tex]

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

https://brainly.com/question/7066192

#SPJ1

Answer: The answer is B, a car traveling 25 km/h.

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

[tex]Given: AD \parallel BCAD∥BC and AD=CB[/tex]

To Prove: [tex]AB \parallel DCAB∥DC[/tex]

1. [tex]AD \parallel BCAD∥BC , AD=CB[/tex]

Reason: Given

2. AC = AC

Reason: Reflexive Property of Equality

3. [tex]\angle 2 = \angle 3∠2=∠3[/tex]

Reason: If Lines are parallel, then Alternate Interior Angles are Equal).

4. [tex]\Delta ACD \cong \Delta CABΔACD≅ΔCAB[/tex]

Reason: SAS

5. [tex]\angle 1 = \angle 4∠1=∠4[/tex]

Reason: CPCTE

6. [tex]AB \parallel DCAB∥DC[/tex]

Reason: If Alternate Interior Angles are Congruent, then Lines are Parallel.

Answer:

The missing Statements and reasons are given below

Statement                                                  >>   Reason

4. CB ≅ BC                                               >> reflexive property of congruence

5. ∠ABC ≅ ∠DCB and ∠ACB ≅ ∠DBC   >>   Alternate interior angles theorem

6. ΔACB ≅ ΔDBC                                      >>   ASA congruence

7. AB ≅ DC and AC ≅ DB                         >>   CPCTC

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

Answer:

domain: [0, ∞)

range: (-∞, 0]

Step-by-step explanation:

the domain is all the possible x-values, which is all the numbers from 0 to infinity.

the range is all the possible y-values, which is all the numbers from negative infinity to 0.

Answer:

$44.68

Step-by-step explanation:

plus you have would have to find out what the money would be 10% off and then you add on the sales tax

Answer:

130

Step-by-step explanation:

Step 1: write equations:

Company A: y = 0.20x + 110

Company B: y = 0.50x + 80

Step 2: graph your lines

Step 3: Find your intersect point

Step 4: find the points: (100,130)

The number of miles is y, so at 130 miles, both trucks are the same cost

Hope that helps

Answer:

1 ticket would be $4.25

5 tickets would be $21.25

Step-by-step explanation:

Hope that help, mind if a get a brainliest now?

Answer:

4.25 for 1 ticket, 21.25 for 5

Step-by-step explanation:

12.75 divided by 3 = 4.25 x 5 = 21.25

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

Answer:

7 and a half minutes. have a good one.

Answer: 8/19

Step-by-step explanation:

15/19 - 7/19 = 8/19

8/19 cannot be simplified further

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this