Answer:
60
Step-by-step explanation:
let X be the total number of students.
48÷x *100 = 80
4800= 80x
X = 60 students
In a round-robin chess tournament every player plays one game with every other player. Five participants withdrew after playing two games each. None of these players played a game against each other. A total of 220 games were played in the tournament. Including those who withdrew, how many players participated
9514 1404 393
Answer:
26 players to start; 21 players after 5 withdrew
Step-by-step explanation:
We are told that the withdrawing players did not play against each other, so the total number of games they played was 5×2 = 10. Then the number of games played by the remaining players was 220 -10 = 210. When n players play each other, they play a total of n(n -1)/2 games. Here, that total is 210, so we have ...
n(n -1)/2 = 210
n^2 -n = 420 . . . . . . . . .multiply by 2
(n -1/2)^2 = 420.25 . . . . add 0.25 to complete the square
n = 1/2 +√420.25 = 0.5 +20.5 = 21 . . . . . square root and add 1/2
The number of participating players after 5 withdrew was 21. There were 26 players to start.
Write the factors of [tex] {a}^{3} + {b}^{3} .[/tex]
Step-by-step explanation:
[tex]a {}^{3} + b {}^{3} [/tex]
Notice how that for both a and b are raised to an odd power. This means we can factor this by a binomial raised to an odd power.
Let divide this by
[tex]a + b[/tex]
Since that is also a odd power.
[tex]( {a}^{3} + {b}^{3} ) \div (a + b)[/tex]
We get
a quotient of
[tex]( {a}^{2} - ab + {b}^{2} )[/tex]
So our factors are
[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Answer:
[tex](a+b)(a^{2} -ab+b^{2} )[/tex]
Step-by-step explanation:
[tex]\textbf{We need to factor this expression}[/tex] [tex]\textbf{by applying the sum of two cubes rule:}[/tex]
[tex]\Longrightarrow[/tex] [tex]A^{3} +B^{3} =(A+B)(A^{2} -AB+B^{2} )[/tex]
Here,
A= a
B= b
So, [tex](a+b)(a^{2} -ab+b^{2} )[/tex]
[tex]\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto[/tex]
[tex]\textsl{OAmalOHopeO}[/tex]
Reason Can you subtract a positive integer from a positive integer
and get a negive result? Explain your answer.
Answer:
No
Step-by-step explanation:
No matter the situation, when you multiply a negative by a negativeyou get a positive and a positive by a positive you get a positive. but if its two different like a negative and a positive then its NEGITIVE.
let's say you have 23 and you're multiplying by 2.
It's always increasing so it doesnt ever reach the negitive numbers.
The pattern 96, 92, 88, 84, ________ follows the "subtract 4" rule. Study the pattern to find traits that are not obvious in the rule. Explain.
pleas in one or 2 sentences
Fill the blank with a number to make the expression a perfect square v^2-10v+
9514 1404 393
Answer:
25
Step-by-step explanation:
To make this expression into a perfect square trinomial, we must add the square of half the coefficient of the linear term.
v^2 -10v +(-10/2)^2 = v^2 -10v +25
The missing constant is 25.
Kelly said that 97/1000 can be written as 0.97 is correct? Explain.
Answer:
No
97/1000 is the same as 97 divided by 1000
the decimal would be .097, not .97
Question
Alice drove from the town of Everett to the town of Gage at an average speed of 45 miles per hour. If she
Grove for 40 minutes, how far did she travel? (1 hour = 60 minutes)
prove that Sin^6 ϴ-cos^6ϴ=(2Sin^2ϴ-1)(cos^2ϴ+sin^4ϴ) please sove step by step with language it is opt maths question please sove i will mark you the best
Answer:
hshdkKnfbsjfjznd jzkz e zkkfkd
Which of the following represents 32/100? A. thirty-two hundredths B. 0.032 C. 0.23 D. thrity-two tenths
Answer:
A
Step-by-step explanation:
32 hundredths is 32/100
Side note
32/100 can be simplified to 8/25.
526 divided by 18 show your work
Answer:
526 divided by 18
Step-by-step explanation29.222222222222222222222222222222 :
Trig experts...help! Will give brainly!
64°
Step-by-step explanation:
The 36-ft distance can be regarded as the opposite side of the triangle formed by the leaning ladder while its length of 40 ft is the hypotenuse. So using the definition of a sine of an angle, we know that
[tex]\sin \theta = \dfrac{opposite}{hypotenuse} = \dfrac{36\:\text{ft}}{40\:\text{ft}}[/tex]
or
[tex]\theta = \sin^{-1}\left(\dfrac{36}{40}\right) = \sin^{-1}(0.9)[/tex]
[tex]\:\:\:\:=64°[/tex]
Determine the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.79
Answer:
The area lies to the right of the z-score 0.48 means all the values greater than it. This can be calculated on a graphing calculator using the function normCdf, where
Lower bound = 0.48Upper bound = 9999Mean = 0Standard deviation = 1The result would be normCdf(0.48,9999,0,1) ≈ 0.315614
The area lies to the left of the z-score 0.79 means all the values less than it. This can be calculated on a graphing calculator using the function normCdf, where
Lower bound = -9999Upper bound = 0.79Mean = 0Standard deviation = 1The result would be normCdf(-9999,0.79,0,1) ≈ 0.785236
Answer:
0.1008
Step-by-step explanation:
SOURCE: Trust Me Bro
OTHER ANSWER IS WRONG
A number, x, increased by 5 is the same
as twice the same number, decreased
by seven.
Answer:
n = 12
Step-by-step explanation:
n + 5 = 2n - 7
7+5=2n-n
12=n
12+5=2(12)-7
sipho's dad used 4/11 of the packet of oranges to make juice.The next day he used another 4/11 of the packet of oranges.How many eleventh were left of the pocket of oranges?
9514 1404 393
Answer:
3/11 were left
Step-by-step explanation:
A packet of oranges is 11/11. Subtracting 4/11 +4/11 = 8/11 from that leaves ...
11/11 -8/11 = (11 -8)/11 = 3/11
3 elevenths were left.
A lottery ticket has a grand prize of $41.7 million. The probability of winning the grand prize is .000000023. Determine the expected value of the lottery ticket. (Round your answer to 3 decimal places.) Expected value
Answer:
000023 because if we take three 0's we can get 000023 and 417 million
Evaluate the equation
9!/6!3!
I need help please, show work
Answer:
24 and 32 ft or 32 and 24 ft
Step-by-step explanation:
Perimeter of rectangle(p)=2(l+b)
or, 112/2=l+b
Therefore, l+b=56
Now,
diagonal(d)=40
By pythogoras theorem,
h^2=p^2+b^2 (d=h here)
40^2=l^2+b^2
Now,
Square l+b=56
(l+b)^2=56^2
l^2+2lb+b^2=3136
2lb=3136-1600
lb=1536/2
Therefore, lb=768
b=768/l
Now,
Perimeter of rectangle(p)=2(l+b)
l+b=56
l+768/l=56
l^2+768=56l
l^2+768-56l=0
Factoring,
(l - 32) (l - 24) = 0
Either l= 32 or l = 24
When l=32,
l+b=56
32+b=56
b=24
When l=24
l+b=56
24+b=56
b=32
So the dimensions of the dance floor are 24 and 32 ft or 32 and 24 ft.
Answer:
24 ft x 32 ft
Step-by-step explanation:
[tex]2x+2y=112[/tex]
[tex]\sqrt{x^{2}+y^{2} } =40[/tex]
Graph the equations
Find the point where they intersect
Answer is 24 ft and 32 ft
Mixture Problem A solution contains 15 milliliters of HCI
and 42 milliliters of water. If another solution is to have
the same concentration of HCl in water but is to contain
140 milliliters of water, how much HCI must it contain?
Answer:
Step-by-step explanation:
This is a straight proportion problem.
15/42 = x/140 Cross Multiply
15*140 = 42 * x
2100 = 42x Divide by 42
2100/42 = x
x = 50 ml of HCl will be needed.
A variety of trigonometric functions are shown in the answer choices below.
Which trigonometric function has an inverse over the domain x2≤x≤3x2
A-f(x)=cos(x−1/2)+3/2
B-f(x)=cos(x+π/2)
C-f(x)=sin(x−1/2)+3/2
D-f(x)=sin(x+π/2)
What happens during a controlled experiment?
No observations are made.
A factor called a prediction is changed.
Many variables are changed at once.
The results of changing the independent variable are observed
Answer:
Step-by-step explanation:
The answer is that 1 variable is allowed to change. The others are held at a constant.
An example would be the growth of a poinsettia. These Christmas plants are very touchy. They respond badly to too much water or not enough water. So you keep the amount of dirt, the amount of sunlight, the amount of support that each plant receives as a constant.
The amount of water is what you change in one of the plants. The one plant (or a few) will measure the growth of the plant.
So the last answer is the one you want.
The expression is 3 (x+4)-(2x+7) what is that equivalent too
Answer:
x+19
Step-by-step explanation:
3x+12 - 2x+7 = x+19
Answer:
x-19
Step-by-step explanation:
expand the brackets
3x+12-2x-7
3x-2x-12-7
x-19
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
m=3*sqrt(2) and n=3
Step-by-step explanation:
tan(45)=3/n
1=3/n, n=3. As it's a right angled triangle, 3^2+3^2=m^2, m=3*sqrt(2)
Tìm GTLN và GTNN của
M=x+2y biết x^2 + 4y^2
Answer:
saya tidak tahu !)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!qjjjjbugg7yhhuhhhuhgy fundes per grallahegeuebevhehehnjķßùèò395oìùýþŕèwqàďhĺ
Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support. What's the best way to get to a consensus?
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. Oc) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
Answer:
a) Everyone on the team talks until the entire team agrees on one decision.
Step-by-step explanation:
Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense
what is the product of .4 x .38
Answer:
0.152
Step-by-step explanation:
0.4 × 0.38
→ Multiply 0.4 by 10
0.4 × 10 = 4
→ Multiply 0.38 by 100
38
→ Multiply the 2 answers together
4 × 38 = 152
→ Divide by the answer by 1000
152 ÷ 1000 = 0.152
Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠ 0.
f(x) = 2 − 4x
Answer:
-4
Step-by-step explanation:
(f(a+h)-f(a))/h=(2-4(a+h)-2+4a))/h=-4h/h=-4
Rewrite the expression as the algebraic expression in x
Sin
(tan^-1(x))
9514 1404 393
Answer:
sin(tan^-1(x)) = x/√(x² +1)
Step-by-step explanation:
We know that for an angle in a right triangle...
Tan = Opposite/Adjacent
and
Sin = Opposite/Hypotenuse
so we can let Opposite = x and Adjacent = 1. The Pythagorean theorem tells us that ...
Hypotenuse² = Opposite² + Adjacent² = x² +1
Then the sine of the angle is ...
sin(tan^-1(x)) = x/√(x² +1)
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
Answer:x2.2
Step-by-step explanation:
15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab
Step-by-step explanation:
Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11
Answer: 24a²-2ab-11
Hi
As you can only add or substract item of the same nature, you must re organise terms.
so :
A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab
Here I have : " a²" ; "ab" then numbers.
In general, you start with letters with highest exponant. If two letters have the same exponent, use alphabetic order.
let's put order :
A = 15a²-8a²+a² -6ab-5ab -ab+20-31
Now you add or substract item of the same kind :
A = 8a² -12ab - 9
Here I can not do anything else, so calculus is over.
urgent image below for the question
Answer:
240 ft²
Step-by-step explanation:
Surface area of a rectangular prism is,
2(lw+wh+hl)
= 2(7×6+6×6+6×7)
= 240 ft²
