: At a Pokemon award ceremony there are three types of medals to be awarded: Leader, Champion, and Ranger. There are 48 awardees present in total, including 19 Leader medal winners, 27 Champion medal winners, and 25 Ranger medal winners. For any two types of medals, the number of people who won these two medals is the same. There are 4 people who won all three medals. How many people won exactly two medals
Answers
Answer:
The correct answer is "[tex]a+b+c=15[/tex]".
Step-by-step explanation:
The figure according to the given question is attached below.
Given that,
Number of people,
p = 4
Let the suitable notations are:
a, b, c, x, y, z and p
where,
Only leader M = x
Only champion M = y
Only range M = z
Exactly two medals = a+b+c
All three medals = p
The equations will be:
[tex]x+a+b+p=19[/tex]...(1)
[tex]y+a+c+p=27[/tex]...(2)
[tex]z+b+c+p=25[/tex]...(3)
[tex]x+y+z+a+b+c+p=48[/tex]...(4)
Now,
From equation (1), (2) and (3), we get
[tex]x+y+z+2(a+b+c)+3p=71[/tex]
[tex]x+y+z+2(a+b+c)=71-12[/tex]
[tex]x+y+z+2(a+b+c)=59[/tex]...(5)
By applying subtraction between equation (5) and (4), we get
[tex]a+b+c-p=59-48[/tex]
[tex]a+b+c=4+11[/tex]
[tex]a+b+c=15[/tex]
Related Questions
PLs help lots of points
Answers
Answer:
I believe it is cube A
Step-by-step explanation:
the volume of Cube B equaled 2073.6 in for me. so it would be less than cube A
Explanation: same shape and size simple
Your hose fills a swimming pool in 3 hours. When your friend's hose is used together with your hose, the pool is full in 1 hour. How long (in hours) does it take your friend's hose to fill the pool when working alone
Answers
Answer:
1.5 hours
Step-by-step explanation:
Given :
My hose = 3 hours ; my rate = 1/3
Let My friend's time = x ; his rate = 1/x
Combined time = 1 hour, combined rate = 1/1 = 1
Combined rate :
1/3 + 1/x = 1
1/x = 1 - 1/3
1/x = (3 - 1)/ 3
1/x = 2/3
Cross multiply :
3 = 2x
x = 3/2
x = 1.5 hours
What is the value of x when 1/3x = 9 1/2
Answers
I'll help.
[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]
[tex]x = ?[/tex]
↓
[tex] \frac{1}{3} x = \frac{19}{2} [/tex]
[tex]x = \frac{57}{2} [/tex]
"How it can be 57 ?"
The number 19 is multiplied by the number 3 at the bottom left.
19 × 3 = 57.
Please help me with this:
The gas meter readings at the beginning and end of a period were:
6
4
9
6
6
7
8
5
The cost of the gas is 13p for each unit.
There is also a fixed charge of £21.45.
Calculate the cost of the gas.
You must show your working.
Answers
Answer:
£59.02
Step-by-step explanation:
find the amount of gas used: 6785-6496 = 289find the cost of the gas by multiplying the 289 by 13p = 3757p = £37.57add the cost of the gas to the fixed delivery charge £37.57+£21.45 = £59.02The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of units and 'y' be the total cost. Then the equation is given as,
y = 0.13x + 21.45
The number of units is calculated as,
x = 6785 - 6496
x = 289
The cost of the gas will be given as,
y = 0.13(289) + 21.45
y = 37.57 + 21.45
y = £59.02
The number of units in meter readings will be 289. Then the cost of the gas will be £59.02.
More about the linear equation link is given below.
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Find sin S, sin R , cos S, and cos R.
Answers
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?
Answers
Explanation: divide £56 by 7. each of the seven parts is equal to £8. Subtract £8 from £56 and the original price is £48.
A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen
Answers
Answer:
The least number of coins that could have been stolen is 3,930.
Step-by-step explanation:
In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.
Then we can write the total number of coins as a multiple of 17 plus 3.
N = 17*k + 3
where k is an integer.
After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:
N = 16*j + 10
where j is an integer.
Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15
N = 15*m
where m is an integer.
So we have these 3 equations:
N = 17*k + 3
N = 16*j + 10
N = 15*m
So we can express equations like:
15*m = 16*j + 10
15*m = 17*k + 3
Where we need to find solutions such that both of these variables are integers.
For the first one we can write:
15*m - 16*j = 10
One way to do it, is to write this like a linear equation:
m = (16*j + 10)/15
Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:
16*j + 10 is a multiple of 15.
For example, with j = 5 we have:
m = (16*5 + 10)/15 = 6
so j = 5 and m = 6 is a possible solution.
Now if we use m = 6 in the other equation:
15*m = 17*k + 3
we can see if k is also an integer:
k = (15*m - 3)/17
replacing m by 6:
k = (15*6 - 3)/17 = 5.1
This solution does not work.
Let's find others:
if j = 20 (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:
m = (16*20 + 10)/15 = 22
Then:
j = 20 and m = 22 is another solution.
Same as before, let's use m = 22 in the equation for k:
k = (15*22 - 3)/17 = 19.2
Let's find another solution for m.
if j = 35
m = (16*35 + 10)/15 = 38
Using this value of m in the k equation we get:
k = (15*35 - 3)/17 = 33.4
Let's find another solution for m.
if we take j = 50 we get:
m = (15*50 + 10)/15 = 54
Using this in the k equation we get:
k = (15*54 - 3)/17 = 47.5
Eventually, for j = 5 + 15*16 = 245 we get: (arrived by iteration, just try each time using the previous value of j plus 15)
m = (16*245 + 10)/15 = 262
replacing this in the k equation we can find:
k = (15*262 - 3)/17 = 231.
So the first solution is:
j = 245, m = 262, k = 231
Then:
N = 262*15 = 3,930
The least number of coins that could have been stolen is 3,930.
If a spinner for a game is spun once, there is a 25% chance it will land on
orange. What is the chance that the spinner will not land on orange on both
the first and second spin in a game? Calculate the probability as a decimal
rounded to the nearest TENTH.
Answers
Answer:
[tex]Pr = 0.6[/tex]
Step-by-step explanation:
Given
Let
[tex]O \to Orange[/tex]
So:
[tex]P(O) = 25\%[/tex] --- probability of O
[tex]n=2[/tex] --- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:
[tex]P(O') = 1 - P(O)[/tex]
[tex]P(O') = 1 - 25\%[/tex]
Express as decimal
[tex]P(O') = 1 - 0.25[/tex]
[tex]P(O') = 0.75[/tex]
On two spins, the probability that it will not land on orange is:
[tex]Pr = P(O') * P(O')[/tex]
So, we have:
[tex]Pr = 0.75* 0.75[/tex]
[tex]Pr = 0.5625[/tex]
[tex]Pr = 0.6[/tex] --- approximated
14. 10th
term of arthmetic
Sequence is 32 more than 7th term.If the first term is -14
find the 2nd term of the sequence
Answers
Answer:
5
Step-by-step explanation:
1
how to write 3600 in babylonian numerals?
Answers
Answer:
Each vertical bar | (pipe) equals a unit and each < (corner wedge or bracket) equals a tenth. The change of power of sixty (60 ^ 1 = 60, 60 ^ 2 = 3600, 30 ^ 3 = 216000, etc.) is represented by a space.
Find y and choose the answer for brainlest
Answers
Answer:
Last answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
angle y =128 degree reason-angles x and y are supplementary angles
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then
Mahmoud selects a piece of fruit at random. Find the probability that two apples are chosen
Answers
Answer:1/12
Step-by-step explanation: 5/16 x 4/15 = 20/240= 1/12
Hi there I hope you are having an great day :) There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Mansour selects a piece of fruit at random and then Mahmoud selects a piece of fruit at random. Find the probability that two apples are chose. (5/16)*(4/15) Mya selects a fruit and you want it to be an apple so that is 5 apples out of 16 fruits total. After Mya selects one fruit and it is an apple, there is one less fruit and apple. So 5-1/16-1. Since the is also in one case, not two separate ones, you multiply the two fractions so (5/16)*(4/15).
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
8
11
14
16
15
12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Answers
Most likely, you won't need to type in the percent symbol since that seems to be already done for you.
=========================================================
Explanation:
The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.
Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.
Dividing the two values gets us A/B = 3/100 = 0.03 = 3%
The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".
4. What is the greatest common factor of 12
and 30?
Answers
Answer:
6
Step-by-step explanation:
I need the answer pls I will mark brainlist just answer this
Answers
Answer:
The first one is B and the second is C :)
Answer:
C. 12 and A.5
Step-by-step explanation:
The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to
6-1 = 5
The _________is where the line crosses the vertical axis.
Answers
Answer:
The Y intercept is the point where your line crosses the y-axis.
and always Does.... Well Some time it Dosen't, If It is A different Point
What are the solutions to the equation x^2-4x-5=0?
Answers
Answer:
x = 5 , − 1
Step-by-step explanation:
What does a country need to do to keep a republic, and not fall under the power of a dictator?
Answers
Answer:
Continue to provide equality for all!
Step-by-step explanation:
When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.
Hope this helps:)
If two expressions have the same factor or base. What happens to the exponents when the expression are dividing
Answers
Answer:
whats the question tho?
Step-by-step explanation:
What is the value of l-6l - l-8l
Answers
Answer:
-2
Step-by-step explanation:
absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.
|-6| - |-8|
6 - 8
-2
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
[tex]|−6|−|−8|[/tex]
Simplify each term.
The absolute value is the distance between a number and zero. The distance between −6 and 0 is 6.
[tex]6−|−8|[/tex]
The absolute value is the distance between a number and zero. The distance between −8 and 0 is 8.
[tex]6−1 \times 8[/tex]
Multiply −1 by 8.
[tex]6−8[/tex]
Subtract 8 from 6.
[tex] - 2[/tex]
Hope it is helpful....The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answers
Answer:
Volume of cone shape tank = 461.58 ft³ (Approx.)
Step-by-step explanation:
Given:
Diameter of cone shape tank = 14 feet
Height of of cone shape tank = 9 feet
Find:
Volume of cone shape tank
Computation:
Radius of cone = 14 / 2
Radius of cone = 7 feet
Volume of cone = (1/3)(π)(r²)(h)
Volume of cone shape tank = (1/3)(3.14)(7²)(9)
Volume of cone shape tank = (1/3)(3.14)(49)(9)
Volume of cone shape tank = 1,384.74 / 3
Volume of cone shape tank = 461.58 ft³ (Approx.)
Help!!!!!!!Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Step-by-step explanation:
cos x = 59/95
x = 0.9007
round this and you have your answer
I need help ASAP rn please 6th grade math btw
Answers
Answer:
first
Step-by-step explanation:
A= r*pi*r = pi*r²
Answer:
A.
Step-by-step explanation:
The rearranged segments form a rectangle with length (pi)r and width r.
A = LW
A = (pi)r * r
A = (pi)r^2
Answer: A.
150 round 2 decimal places
Answers
Answer:
[tex]150 = 150.00[/tex]
Help
Which choice is equivalent to the product below when x > 0
Answers
Answer:
D
Hope this help
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Answers
Answer:
A and E
Step-by-step explanation:
B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.
C only consist of one data, temperature of Chicago at noon yesterday only.
Which function represents the area of the rectangle? 6x2 – 8x + 36 6x2 – 27x + 36 6x2 – 35x + 36 6x2 + 35x + 36
Answers
Answer:
[tex]Area = 6x^2 - 35x + 36[/tex]
Step-by-step explanation:
Given
[tex]g(x)=3x-4[/tex]
[tex]f(x)=2x-9[/tex]
Required
The area
This is calculated as:
[tex]Area = f(x) * g(x)[/tex]
[tex]Area = (3x -4) * (2x - 9)[/tex]
Open bracket
[tex]Area = 6x^2 - 27x - 8x + 36[/tex]
[tex]Area = 6x^2 - 35x + 36[/tex]
Answer:
6x2 – 35x + 36
Step-by-step explanation:
A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?
Answers
Answe$324
Step-by-step explanation:
First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours
Next you multiply 3.6 by 90 to get 324
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
Answers
Answer:
The answer is (7,-19)
Step-by-step explanation:
Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.
Therefore, your answer should be (7,-19)
Hope this helps!
By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
What is translation?Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.
Given point = (18, -10)
(x, y) --> (x - 11, y - 9)
(18, -10) = (18 - 11, -10 - 9)
New point = (7, -19)
Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).
Learn more about translation here
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26 months 7 days from 51 months.
Answers
Answer:
Uhhh get it i guess
Step-by-step explanation:
Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT
Step-by-step explanation: