Find the slope of the line that passes through (8,6) and (4,15)
There are 130 people in a sport centre. 61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 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?
Step-by-step explanation:
Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)
Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)
Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.
Probability = (13/19) * 100% = 68.4%.
In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
There are 130 people in a sport centre.
61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 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:
13 / 19
Step-by-step explanation:
Given that :
U = 130
Let :
s = swimming pool
t = track
g = gym
n(g) = 61 ; n(s) = 68 ; n(t) = 60
n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19
n(g n s n t) = 6
n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13
Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)
= 13 / 19
= 13 / 19
$2,300 invested at 7.5% for 10 years. In simple interest
Answer:
here's the answers............
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
okay I need an answer to this from scale through 1 to 10 how much naughtier can my cat be like I need some good answers
Answer:
Wow your cat is so naughty but cute. On a scale from one to 10 I say 10
Step-by-step explanation:
This is why I dont have pets
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
1 Which expression is equivalent to 1/3y?
A 1/3(y+12)-12
B 1/6y+1/3(y+3)
C 1/6y+1/6(y+12)-2
D 1/3y+1/3(6-y)
Answer:
D is your answer HOPE THIS HELPS THANK ME PLEASE
Step-by-step explanation:
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
Simplify this equation:
-4(c+2d)-2(3c-4d)
Answer:
-10c
Step-by-step explanation:
-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)
Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.
(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d
Evaluate like terms.
-4c-8d-6c+8d = -10c
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
Which expression is equal to
-18b^-4
Answer:
[tex] - \frac{18}{ {b}^{4} } [/tex]
Step-by-step explanation:
[tex] - 18b {}^{ - 4} [/tex]
express b^-4 with a positive exponent using:
[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
[tex] - 18 \frac{1}{ {b}^{4} } [/tex]
[tex] - \frac{18}{ {b}^{4} } [/tex]
Can anybody answer these 2 please hurry
Answer:
the first one is b= 52
the second one is b= 63
If x= - 2 is a solution to the equation f(x) = g(x), which one of these statements must be true?
• The graphs of f and g intersect each other at x = -2
• The graphs of f and g intersect each other at x = 2
• The graphs of f and g intersect the x-axis at -2
• The graphs of f and g intersect at the y-axis at -2
Answer:
C
Step-by-step explanation:
Please help me!! I’m so confused
Answer:
X = 24
Step-by-step explanation:
Just apply H² = B² + P²
(26)² = (10)² + P²
676 = 100 = P²
676 - 100 = P²
P² = 576
P = √576
P = 24
P = X
Hope this helps you.
HELP WILL MARK BRAINLIEST
Answer:
The answer is D: y = -2x + 6
Step-by-step explanation:
the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=2−8+7 where is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.
Answer:
The number of feet she will travel back is 1 or 7 feet
Step-by-step explanation:
Here, we need to solve the quadratic equation
That will be as follows;
0 = x^2 -8x + 7
x^2-x-7x+ 7 = 0
x(x-1)-7(x-1) = 0
(x-1)(x-7) = 0
x = 1 or 7
The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet
y + 12.5 = 21.7, y =
Answer:
y = 9.2
Step-by-step explanation:
21.7 - 12.5 = 9.2
Answer:
y = 9.2
Step-by-step explanation:
PLEASE ANSWER FAST I NEED HELPPP
Solve the equation for y
- 5x + 2y = 1
Answer:
14x+37=4x
Step-by-step explanation:
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
Which is the graph of the linear equation 3x + 2y = 6?
Answer:
I think it would have to be the last one please tell me if i am right
Step-by-step explanation:
Answer:
It's the graph in the middle, just did it on edge
Step-by-step explanation:
There are 12 teams in the Jayhook Hockey League. Each team plays every other team twice per season, once at home and once away from home. Last season 34 of the matches played resulted in a tie. Of the others, 18 more were won by the home team than by the away team. 1: How many games did any one particular team play?
Answer:
Each team played 22 games.
Step-by-step explanation:
There are 12 teams in the league, so each team has 11 rival teams. Since each team will play against a rival team twice, that means that each team will need to play 11 x 2 = 22 games per season. Of these 22 games, 11 games will be played at home while 11 games will be played away from home.
We can calculate this by using the following formula:
Total number of games played by each team = (n - 1) x 2, where n is the total number of teams in a league.
Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?
Answer:
Total possibilities = 16
Probability of a dime of the first draw is 10/16 = 5/8
Probability of a penny on the second draw = 1/15
Probability of both = 5/8 * 1/15 = 1/24
Help me with this plz
Answer:
0.000032, 0.0000064
Step-by-step explanation:
Each is divided by 5
0.00032 and 0.00064
Step-by-step explanation:Think, each is divided by 5!
0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.
Posted By:
ehie, BenjiDev#3339
Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243
Answer:
x is equal to 29.
Step-by-step explanation:
[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]
Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation: