Answer:
70
Step-by-step explanation:
ok so first of all you have to see if the next number is 5 you can borrow and then draw on number line between 65 and 70 that there is your answer 70
Find the sum of the first 50 positive even integers.
The sum of the first 50 positive integers is 2550.
What is the sum of n even numbers?The sum of the n positive even integers is given by the formula below:-
S = n ( n + 1 )
n = number of the digits.
The sum of the 50 even positive integers will be calculated as:-
S = n ( n + 1 )
S = 50 ( 50 + 1 )
S = 2550
Therefore, the sum of the first 50 positive integers is 2550.
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Solve for a. 3(a+3)+6=30
Answer:
a = 5
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties: Distributive, etc.
Step-by-step explanation:
Step 1: Write equation
3(a + 3) + 6 = 30
Step 2: Solve for a
Distribute 3: 3a + 9 + 6 = 30Combine like terms: 3a + 15 = 30Subtract 15 on both sides: 3a = 15Divide 3 on both sides: a = 5Step 3: Check
Plug in a to verify it's a solution.
Substitute: 3(5 + 3) + 6 = 30Add: 3(8) + 6 = 30Multiply: 24 + 6 = 30Add: 30 = 30There are 567 calories in one hot dog. If the Carsey family ate 6,237
calories worth of hot dogs, how many hot dogs did they eat?
Answer:
11 hot dogs
Step-by-step explanation:
divide 6237 by 567
Answer:
11 hot dogs
Step-by-step explanation:
567/6237=11
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]
b) Identify three common multiples of
54 and 36
Answer:
3, 2, 6
Step-by-step explanation:
Expression is equivalent to 179×44.
Answer: 7876
Step-by-step explanation: JUST MULTIPLY THE NUMBERS
Simplify the following expression.
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 2)) - 9]
The value of the expression is 2419.
The required answer is 2400.5
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]
It can be simplified using PEMDAS rule.
P is parenthesis
E is exponents
M is multiplication
D is division
A is addition
S is subtraction
Firstly we will solve parenthesis, thus
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]
= 44[(12) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (1.5)) - 9]
= 44[12 + 72 - 6 * 2.5 - 19] - [42 - 3(78.5) - 9]
Now we will solve multiplication,
= 44[12 + 72 - 15 - 19] - [42 - 235.5 - 9]
Now we will solve addition,
= 44[84 - 15 - 19] - [42 - 235.5 - 9]
Now we will solve subtraction,
= 44[84 -34] - [42 - 244.5]
= 44[50] - [42 - 244.5]
= 44[50] - [-200.5]
= 2200+ 200.5
= 2400.5
Thus, the required answer is 2400.5
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Mark and his brother signed up for the Catch Up phone plan. They share the minutes every month equally. How many minutes can Mark use each day without going over his share
Answer:
12 minutes.
Step-by-step explanation:
Let f(x)=x2−18 and g(x)=17−x. Perform the composition or operation indicated.
f/g(−8)
Answer:
[tex]2x - 18 \div 17 - x = 2( - 8) - 18 \div 17 - ( - 8) \\ - 16 - 18 \div 17 + 8 \\ = - 34 \div 25[/tex]
i need help this one is even harder please
Answer:
[tex]-7\frac{1}{7}[/tex]
Step-by-step explanation:
Answer:
-7 1/7
Step-by-step explanation:
line A and B are parallel. line C and D are parallel. Line D is perpendicular to line B . therefore line C is ? to line A
Answer:
C is Perpendicular to A
Step-by-step explanation:
in a group of 120 students,68 had riddena bus,78 had ridden the LRT,20 had riddenthe bus and the jeep ,19 had ridden the LRT and the jeep and 15 had ridden the bus,the LRT and the jeep.
a.how many had ridden the bus only?
b.how many had ridden the LRT only?
c.how many had ridden the jeep only?
d.how many did not ride on any of the three modes of transportation?
Answer:
180
Step-by-step explanation:
Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift
The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.
Answer: B period
Step-by-step explanation:
EDGE 2020
Keith Hernandez has asked Jerry and Kramer to help him move into a new apartment on Sunday morning. He has asked them both in case one of them does not show up. From past experience, Keith knows that there is a 41% chance that Jerry will not show up and a 31% chance that Kramer will not show up. Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
Probability
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability
Answer:
a. 0.41
b. 0.87
c. 0.13
Step-by-step explanation:
From the above question:
We are told that:
Probability that Jerry will not show up = 41% = 0.41
Probability that Jerry will show up =
100 - 41 = 59 = 0.59
Probability that Kramer will not show up = 31% = 0.31
Probability that Kramer will show up
= 100 - 31 = 69% = 0.69
Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
= P(A) × P(B)
= Probability the Jerry will show up × Probability that Kramer will show up
= 0.69 × 0.59
= 0.4071
≈ 2 decimal places = 0.41
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability = 1 - the probability that both Jerry and Kramer will not show up
= 1 - (0.41 × 0.31)
= 1 - 0.1271
= 0.8729
Approximately to 2 decimal places = 0.87
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability = Probability the Jerry will not show up × Probability that Kramer will not show up
= 0.41 × 0.31
= 0.1271
To 2 decimal places = 0.13
Sedato Company follows the practice of pricing its inventory at the lower-of-cost-or-market, on an individual-item basis.
Item No. Quantity Cost per Unit Cost to Replace Estimated Selling Price Cost of Completion and Disposal Normal Profit
1320 1,200 $3.20 $3.00 $4.50 $0.35 $1.25 1333 900 2.70 2.30 3.50 0.50 0.50
1426 800 4.50 3.70 5.00 0.40 1.00
1437 1,000 3.60 3.10 3.20 0.25 0.90
1510 700 2.25 2.00 3.25 0.80 0.60
1522 500 3.00 2.70 3.80 0.40 0.50
1573 3,000 1.80 1.60 2.50 0.75 0.50
1626 1,000 4.70 5.20 6.00 0.50 1.00
From the information above, determine the amount of Sedato Company inventory.
Answer:
$24,110
Step-by-step explanation:
From the given information, we have:
Item No. Quantity Cost per Unit Cost to Replace Estimated Selling Price
1320 1,200 $3.20 $3.00 $4.50
1333 900 2.70 2.30 3.50
1426 800 4.50 3.70 5.00
1437 1,000 3.60 3.10 3.20
1510 700 2.25 2.00 3.25
1522 500 3.00 2.70 3.80
1573 3,000 1.80 1.60 2.50
1626 1,000 4.70 5.20 6.00
Cost of Completion and Disposal Normal Profit Final Inventory
$0.35 $1.25 $3600
0.50 0.50 $2,250
0.40 1.00 $2960
0.25 0.90 $2950
0.80 0.60 $1400
0.40 0.50 $1450
0.75 0.50 $4800
0.50 1.00 $4700
$24,110
To determine the amount of Inventory, we multiply the designated market value with the quantity, then sum all the results up but in the last part,we use the cost per unit instead becuase it is lower than the designated market value.
What is wrong with this "proof"?"Theorem" For every positive integern, ifxandyare positive integers with max(x, y) =n,thenx=y.Basis Step: Suppose thatn= 1. If max(x, y) = 1 andxandyare positive integers, we havex= 1 andy= 1.Inductive Step: Letkbe a positive integer. Assume that whenever max(x, y) =kandxandyare positive integers, thenx=y. Now let max(x, y) =k+ 1, wherexandyare positiveintegers. Then max(x−1, y−1) =k, so by the inductive hypothesis,x−1 =y−1. Itfollows thatx=y, completing the inductive step.
Answer:
Every step is wrong in the proof theorem
Step-by-step explanation:
The inductive step : whenever max(x, y) = k and x and y are positive integers, then x = y. is wrong because
If max (x,y ) = k + 1 then max ( x-1, y-1 ) = k
and by inductive hypothesis : x-1 = y-1 and x =y
example :
max ( 2, 3 ) = 3 where x = 2 , y =3
and x ≠ y hence the inductive step is wrong
can you please help im running out of time9) -23 - (-14)= *
Completează tabelul de mai jos:
Predecesor
Predecesor Predecesor
par
impar
Număr
Răsturnat
Ok Succesor
Succesor
par
23 148
300 000
111 111
101 101
729 143
Which statement is an example of the distributive property?
O 3+ (2)(15) = 3(2) + 3(15)
3(2 + 15) = 3 + 2(3) + 15
3(2 + 15) = 3(2) + 3(15)
03(2 + 15) = 3(2) + 15
Answer:
3(2+15)= 3(2) + 3(15)
Step-by-step explanation:
The length of a rectangle is
5 inches more than 4 times the width. The perimeter is 60 inches. Find the length and the width.
Answer:
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RMT
t
t
t
t
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Find the exact length of the third side. 2 4
Answer:
There isn't enough information on this question
Step-by-step explanation:
In a group of students, 30 played chess, 19 played volleyball, 25 played
basketball, 14 played both volleyball and chess, 8 played both baskethall
and volleyball, 15 played both basketball and chess and 5 played both
three events. How many played chess only, basketball only and volleyball
only? How many students are there in all?
Answer:
Explained below.
Step-by-step explanation:
Denote the events as follows:
C = chess
V = volleyball
B = basketball
The data provided is as follows:
n (C) = 30
n (V) = 19
n (B) = 25
n (C ∩ V) = 14
n (B ∩ V) = 8
n (B ∩ C) = 15
n (C ∩ V ∩ B) = 5
Consider the Venn diagram below.
The number of students who played only chess is marked in pink:
n (Only C) = 6
The number of students who played only volleyball is marked in blue:
n (Only V) = 2
The number of students who played only basketball is marked in orange:
n (Only B) = 7
The number of students who played all three is marked in grey:
n (C ∩ V ∩ B) = 5
If David and his friends each get an equal slice of cake, what fraction of the original cake does each person get
Answer:
7/60
Step-by-step explanation:
multiply 7/12 by 5 (5 people in total) which equals 35/60 which you then divide the 35 by the 5 people
1/3 + 5 3/4 pls I rlly need help
Answer:
6 1/12
Step-by-step explanation:
Make 1/3 and 3/4 have the same denominator.
1/3 times 4/4 is 4/12
3/4 times 3/3 is 9/12
4/12 + 9/12 = 13/12 = 1 1/12
1 1/12 +5 = 6 1/12
6.08333333333333333333333333333333333333333333
What is the value of X? x +31 equals 66
Answer:
35
Step-by-step explanation:
Simply subtract 31 from 66 to receive the value of x
Answer:
X = 35
Step-by-step explanation:
Take 31 over to the other side so the equation looks like this
[tex]x = 66 - 31[/tex]
Then, solve for 66 - 31.
You will end up with x = 35.
You can also check your work by substituting X with 35.
Hopefully this helped :)
write down two prime numbers that have a sum of 32
Answer:
3 and 29
OR
13 and 19
Step-by-step explanation:
3+29=32
OR
13+19=32
Note: Prime numbers are those that can only be divided by one or itself!
Find the value of x (5x+4) (8x-71)
Answer:
8.89793770
Step-by-step explanation:
What is the fraction in simplest form?
14/16
7/8
28/32
7/16
7/9
Answer:
7/8
Step-by-step explanation:
Find the perimeter of the figure
Answer:
Answer=2[tex]x^{2}[/tex]+9x+2
Step-by-step explanation:
to find the perimeter of any shape you add all the lengths of it so,
(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)
(you add all same terms together)
=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))
=2[tex]x^{2}[/tex]+9x+2
Which of the following is the equation of the line that passes through the points (−3,4) and (6, 7)?
A. y = 1/3x + 5
B. y = 3x – 11
C. y = -1/3x + 9
D. y = -3x + 25
