Number combination can be used to find the number of selecting n items from m items
The known parameters are;
Number of days the six friends play a game of tennis = Every day = 7 days
Number of weeks the six friends the friends play for = 7 weeks
Therefore the total number of days = 7 × 7 days = 49 days
Required:
(a) The number of ways the friends can play with each other once is given as follows;
[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]
The number of ways the six friends can play with each other once is 15 ways
Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;
[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]
Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time
(b) The number of ways the friends can play game of doubles is given as follows;
[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
The number of pairs = ₆C₂ = 15
The number of games of doubles = 49
In 49 games, we have;
The number of times the same opposing will play a game of doubles where a member of the pair can be on either side of the court will given as follows;
[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]
Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time
Learn more about combination here:
https://brainly.com/question/22692807
x3+y3+z3=k, what replaces k?
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you
24 - 8X = -16
Help pls
Answer:
5
Step-by-step explanation:
24-8X=-16
24+16=8X
40=8X
X=5
Answer:
x=5
Step-by-step explanation:
24 - 8x = -16
=> 24 + 16 = 8x
=> 8x = 24 + 16
=> 8x = 40
=> x = 40/8
=> x = 5
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
if 0 subtracted from a number the difference is the
If 0 is subtracted from any number, then the result is the Number itself.
Example :-
25 - 0 = 2510 - 0 = 101 - 0 = 115 - 0 = 15Which ordered pair is a solution of the system of equations? y= 3x + 1 y= 5x - 1 A (2,3) © (1,2) B (0, 1) D (1,4)
Answer:
D
Step-by-step explanation:
So first, we have to test the pairs. Let start with equation 1.
7=\=3 x
4=\=2 x
0=0 ✓
4=4 ✓
Now we only have to test B and D.
0=\=-1
4=4 ✓
D is the correct answer.
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43
Answer:
c.23
Step-by-step explanation:
easy keep sendin em
Find the equation for the
following parabola.
Vertex (0, 0)
Focus (2, 0)
A. 2x2 = y
B. y2 = 8x2
C. x2 = 8y
D. y2 = 8x
If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The vertex of the parabola is (0, 0) and the focus is (2, 0).
Then the equation of the parabola passing through the origin is given as
x² = 4ay
Then the value a is equal to 2.
Then the equation will be
x² = 4 × 2 × y
x² = 8y
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
Answer:
D
y^2 = 8x
Step-by-step explanation:
Please I suffered through the question.
Hope this helps!
( x+y+z )² + 2( x+y+z ) +1
Answer:
[tex](x+y+z+1 {)}^{2} [/tex]
Step-by-step explanation:
[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]
[tex](x+y+z+1 {)}^{2} [/tex]
Hope it is helpful....Here is your answer hope this helps you.
please please help me if for my homework
Answer:
89/100. Hope this helped.
Step-by-step explanation:
One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.
a=15
b=23
Step-by-step explanation:
a+8=b
2a=b+7
2a=(a+8)+7
2a=a+15
a=15
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
7$
Step-by-step explanation:
a jar contains 65 pennies 27 nickels 30 dimes and 18 quarters a coin is randomly selected from the jar find each probability
The required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
Given:
Pennies = 65
Nickels = 27
Dimes = 30
Quarters = 18
To find:
The probability of each.
Solution:
The probability formula:
[tex]\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]
Total number of coins:
[tex]65+27+30+18=140[/tex]
The probability of selecting Pennies is:
[tex]P(\text{pennies})=\dfrac{65}{140}[/tex]
[tex]P(\text{pennies})=\dfrac{13}{28}[/tex]
The probability of selecting nickels is:
[tex]P(\text{nickels})=\dfrac{27}{140}[/tex]
The probability of selecting dimes is:
[tex]P(\text{dimes})=\dfrac{30}{140}[/tex]
[tex]P(\text{dimes})=\dfrac{3}{14}[/tex]
The probability of selecting quarters is:
[tex]P(\text{quarters})=\dfrac{18}{140}[/tex]
[tex]P(\text{quarters})=\dfrac{9}{70}[/tex]
Therefore, the required probabilities are [tex]P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}[/tex].
Learn more:
https://brainly.com/question/9721191
what is the probability i will roll a 4 or multiple of 3 on a standard # cube
Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Call a bottle of juice costs is x
$2.49 + 12x = $27.57
12x = $27.57 - $2.49
12x = $25.08
x = $25.08 / 12
x = $2.09
SO each bottle of juice costs $2.09.
Mark as Brainliest If the answer is helpful!
B is between A and C, BC=38, and AC=42. Find AB
help please!
Answer:
AB = 4
Step-by-step explanation:
AB + BC = AC
Substitute the line segments for their given values:
AB + 38 = 42
Subtract both sides by 38:
AB = 42 - 38
AB = 4
Check your work:
4 + 38 = 42
42 = 42
Correct!
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
find the last two digits of 2^2016
multiply 3a and (2a+6b
Step-by-step explanation:
3a(2a+6b)
3a×2a+3a×6b
6a²+18ab
three less than twice a number is fifteen
what is the answer?
Answer:
2X–3 =15
2X=15+3
2X=18
X=18/2
X= 9
I hope I helped you^_^
Answer:
18
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week
60 days or 8.5 weeks
Step-by-step explanation:
1800-600=1200
1200/20=60
60/7=8.5
What are “DEC” and “CEF” I will mark the brainiest
[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]
[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]
[tex]\\ \rm\longmapsto 13x-1=180[/tex]
[tex]\\ \rm\longmapsto 13x=169[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]
[tex]\\ \rm\longmapsto x=13[/tex]
Now
[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]
[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]
Answer:
∠ DEC = 142°, ∠ CEF = 38°
Step-by-step explanation:
∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so
11x - 12 + 2x + 10 = 180 , that is
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Then
∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°
∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°
Multiply (FOIL)
( x - 3)( 2x + 5)
(3x + 7)(2x - 1)
Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15
(3x + 7)(2x - 1) equals 6x^2 + 11x − 7
Explanation: You expand the polynomial using the FOIL method.
Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?
PLEASE HELP ME THIS IS DUE TODAY :( YOU WILL GET 20 POINTS
The picture is below :(
Question: If a point C is inside AVB then m AVC +_______= m AVB
m∠AVC+m∠CVB=m∠AVB. Option b is correct.
Given a figure in which point C is inside ∠AVB and ∠AVB=62°.
A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.
Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then
From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB
m∠AVC+m∠CVB=m∠AVB
Now substitute the values we get
39°+23°=62°
62°=62°
So both sides are equal and it's proven.
Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.
Learn more about the angle from here brainly.com/question/11789164
#SPJ1
What is the product of ¼, -½ and -¾?
a
0.0934
b
-0.6543
c
-0.09357
d
0.09375
What is the scale factor from L to S
Answer:
-2
Step-by-step explanation:
Triangle S
Base = 2Height = 4Triangle L
Base = 4Height = 8For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2
Hope it helps,... Chow,...!
Isa finished 30% of his homework in 27 minutes. How many more minutes will it take lsa to complete his homework, assuming that he works at the
same pace?
A А.
63 minutes
B
67 minutes
C
70 minutes
O
D
90 minutes
Answer:
The answer is A. 63 minutes.
Step-by-step explanation:
I added 27 minutes with each of the answer then multiplied the two added numbers by 30%
27 + 63 = 90 x 30% = 27 minutes (correct answer)
27 + 67 = 94 x 30% = 28.2 minutes (wrong answer)
27 + 70 = 97 x 30% = 29.1 minutes (wrong answer)
27 + 90 = 117 x 30% = 35.1 minutes (wrong answer)
solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
X/6 = 8 what is the answer
Answer:
x = 48
Step-by-step explanation:
Multiply both sides by 6
x = 6 * 8
x = 48
Check:
48/6 = 8
8 = 8
Answer:
[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]
