Answer: $41.472 or $41.50
Step by step solving: First convert 20% to a decimal which is .20 now multiply that by $51.84 which equals 10.368 now subtract that number from 51.84 which equals 41.472
If you are allowed to round to the nearest hundreth then that would be $41.50 before the tip.
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there?
Complete Question
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.
(a) How many schedules are there?
(b) How many schedules include neither sister?
Answer:
a
[tex]N = 1,411,200[/tex]
b
[tex]M = 302, 400[/tex]
Step-by-step explanation:
From the question we are told that
The number of players in Taft High School is t = 8
The number of players in McKinley High School is k = 7
The number of rounds is n = 4
The highest number of match each player can play is w = 1
Generally the total number of schedules is
[tex]N = ^tP_4 * ^k P_4[/tex]
[tex]N = ^8P_4 * ^7 P_4[/tex]
=> [tex]N = \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}[/tex]
=> [tex]N = \frac{8!}{4!} * \frac{7!}{3!}[/tex]
=> [tex]N = \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}[/tex]
=> [tex]N = 1,411,200[/tex]
Generally the number of schedules that include neither of the sisters is mathematically represented as
[tex]M= \ ^{t-1}P_4 *\ ^ {k-1} P_4[/tex]
[tex]M= \ ^{8-1}P_4 *\ ^ {7-1} P_4[/tex]
=> [tex]M= \ ^{7}P_4 *\ ^ {6} P_4[/tex]
=> [tex]M = \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}[/tex]
=> [tex]M = \frac{7!}{3!} * \frac{6!}{2!}[/tex]
=> [tex]M = \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}[/tex]
=> [tex]M = 302, 400[/tex]
What is 7/9 x 21/10=
Answer:
1 19/30
Step-by-step explanation:
Just multiply and cross simplify
7/9 x 21/10
9 and 21 can be simplified to 3/7
7/3 x 7/10
Multiply from left to right
49/30
1 19/30
Answer: 1.63333333333
7/9 = 0.77777777777
(7/9) * 21 = 16.3333333333
((7/9) * 21)/10 = 1.63333333333
What is the equation of the line graphed below?
Is thirty six and nine thousandths greater or less than 4 tens
Greater
36+9,000 > 40
What values make d^2=36 a true number sentence
Answer:
6
Step-by-step explanation:
becuase 6^2 equals 36
Answer:
d=6
Step-by-step explanation:
Use the inverse operation of square roots
a turtle is moving along a straight line a constant rate it moves 2/7 of a mile 3/5 of an hour
Answer:
0.2miles at 12minutes
Round 733,712 to the nearest thousand
733,712 ~
Answer:
734,000
Step-by-step explanation:
The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.
733,712
Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.
All of the digits behind the underlined digits turn to zeros to hold the place values.
734,000
What is 9/7 times -9/5?
Answer:
- 2 11/35
Step-by-step explanation:
Step 1:
9/7 × - 9/5 Equation
Step 2:
- 81/35 Multiply
Answer:
- 2 11/35 Convert
Hope This Helps :)
Answer:
Step-by-step explanation:
nevermind sry
g(n)=n+1 f(n)-n^2-n find g(f(8))
Step-by-step explanation:
[tex]g(f(8)) =( n ^{2} - n )+ 1 = 8 ^{2} - 8 + 1 = 64 + 9 = 73[/tex]
HURRY HELP ME select ALL the correct answers
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. which complex fraction represents the unit rate in miles per hour?
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation:
cara is making a beaded necklace for a gift. she wants to spend more than $25 because she doesn´t want to seem like a cheap friend but no more than $60 because she isn´t that good of a friend either.the bead store charges $3 for large beads and $2 for small beads.if she buys 5 large beads, how many small beads can she buy to stay within her budget.
Answer:
5 small beads!
Step-by-step explanation:
Hey there!
If large beads are $3 each, and she buys 5 of them, our equation is $3 x 5 which equals $15. So Cara will spend $15 buying large beads.
Cara has $10 left now, because $25 - $15 = $10. Since each small bead is $2, we divide $10 (the total amount of money she has) by $2 (the cost of each bead). This will tell us how many she can buy! So $10 ÷ $2 is 5. Cara can buy 5 small beads!
I hope this helped you! Rating my answer and giving it a Thanks would sure help me out!
Have a wonderful day!
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra mo ey he needs for each semester? What is the amount that he needs per semester?
Hey there!
Sorry if I answered your question too late, but here is the answer!
Step-by-step explanation:
Toby will require $2,000 for expenses for one year of college. He plans to enroll for 2 semesters per year, so Toby has to divide $2,000 by 2 to find the expenses for each semester. He can set up the division as $2,000 ÷ 2 or 2 ⟌2,000.
Answer: He will need $1,000 for each semester.
You are free to use the Step-by-step explanation to show your work. Have a great day! :))
On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?
Please hurry and answer!
A -120 difference will be seen in the temperature within a 7 hour period
Equation
-30 x 7
Multiplying two of different signs ( - + , + - ) will always be negative.
Multiplying two of the same sign ( - - , + + ) will always be positive.
Solve x^2 – 7x = -13.
Answer:
No solutions I think
Step-by-step explanation:
The total dinner bill for 5 people was 55.30. How much will each person pay if they share the cost equally
Answer:
11.06
Step-by-step explanation:
55.30/5 Separate the decimals and whole numbers and divide both by 5
55/5=11 and 0.30/5=0.06
11+0.06=11.06
Answer:
11.06
Step-by-step explanation:
I need help with this can anyone give me the answer
Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
What is the answer to x-41.5=13.5
Answer: 55
Step-by-step explanation:
just add 41.5 on 13.5 and that is x
Answer: X=55
Step-by-step explanation:
First, you want to move the constant, -41.5, to the right-hand side and change the sign. You now have an equation of x=13.5+41.5.
You are now going to add 13.5 and 41.5, getting 55, which is your answer. Hope this helps!
What is the perimeter of a hexagon with a side length of 31cm?
Answer:
186cm im pretty sure
Step-by-step explanation:
Answer:
The perimeter is 186 centimeters.
Step-by-step explanation:
The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:
31 + 31 + 31 + 31 + 31 + 31
Or in simpler terms:
31 times 6.
All you need to do is multiply, and the answer comes out to 186cm
HELP ASAP. ALGEBRA 1 , ITS EASY. PLEASE HHHHEEEEEEELLLLLPPPPPPPPPP.
Question 1:
9|x/4| -10=8
Question 2:
4+|3x+3|=28
Question 3:
4|x-9|+7=67
Answer:
Question 1
9|x/4| -10=8 Answer- x= (8,-8)
Question 2
4+|3x+3|=28 Answer- x=(7,-9)
Question 3
4|x-9|+7=67 Answer- x=(24,-6)
Step-by-step explanation:
what is the value of n n+11=13
Answer:
n = 2
Step-by-step explanation:
[tex]n + 11 = 13[/tex]
Subtract 11 from both sides to isolate n.
[tex]n + 11 - 11 = 13 - 11[/tex]
[tex]n = 2[/tex]
Pls help me 8th grade math pls solve all the problems correctly
Answer:
A.$12
B.$4.5
C.4.5$ per game + 12$
Step-by-step explanation:
It shows the first payment being 12$ so A is 12$
then it goes up to 16.5$ so
16.5-12= 4.5$
So 4.5$ per game.
C. 4.5$ per game + 12$
Brad had 72 bargain baseballs. What is the total price for the bargain baseballs if each ball is $9
Answer:
648
Step-by-step explanation:
9 times 27
Answer:
$8.
Step-by-step explanation:
72 divided by 9
hope this helped </3
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
14.92 ^-^
Step-by-step explanation:
What must be true of the boundary lines in a system of two linear inequalities if there is no solution of the system? Explain.
Answer:
have you check google or try mathaway or slander
What is the domain of H
Answer:
X ∈ {-2, -1 ,1 ,5 ,6}
Step-by-step explanation:
Answer:
Step-by-step explanation:
help me please i need help
Answer:
I have NO IDEA
Step-by-step explanation:
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Simplify.
2 ( to the power of 3)+4⋅8
40
80
96
160
Answer:
2 to the power of 3 is 8 so
8 + 4.8 = 12.8
Step-by-step explanation:
find the value of x. The answer is 53, but I need to show my work.
THANK YOU!!!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53