You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORROW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS
Answer:
1). Length of diagonals = 52
2). m∠KON = 103°, m∠KMN = 45°
Step-by-step explanation:
KLMN is a rectangle.
Diagonals KM and LN intersect at point O.
1). Since, diagonals of the rectangle equally bisect each other.
KM = 2(KO)
KM = 2(4y + 6)
And LN = 2(ON)
LN = 2(3y + 11)
Since, length of diagonals of a rectangle are equal in measure.
2(4y + 6) = 2(3y + 11)
4y + 6 = 3y + 11
4y - 3y = 11 - 6
y = 5
Therefore, length of diagonals = 2(3y + 11)
= 2(15 + 11)
= 52 units
2). m∠NKM = 32°
Since, m∠KNM = 90° [internal angle of a rectangle]
And diagonal LN bisects this angle,
m∠KNO = 45°
In ΔKNO,
m(∠NKM) + m(∠KNO) + m(KON) = 180°
32° + 45° + m∠KON = 180°
m∠KON = 180° - 77°
= 103°
Since, m∠KMN = [tex]\frac{1}{2}[/tex](m∠LMN)
m∠KMN = [tex]\frac{1}{2}(90)[/tex] = 45°
Answer:
Did u submit ur answer?
Step-by-step explanation:
are lines a and b parallel? and could you explain?
(10 Points) Question is In picture:
1 1/4 divided by 2
a ) 2/3
b ) 5/8
c ) 1 1/3
d ) 2 1/12
Answer:
B) 5/8
Step-by-step explanation:
1.25/2
0.625
5/8
1 x 1
2 x 2
4 x 4
16 x 16
200 x 19.56
Answer:
we should solve it or what should we do...
Heeeeeeeeeeeeeeeeeeeelp asap due today at 7
Answer:
1. 3 hours
2. i cant figure this one out
Step-by-step explanation:
Answer:
Haha
Step-by-step explanation:
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wrgwrgweg
ttrtrtttgb
trbtgrbgttr
bheetbg
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bertertgetfhjgeyfguiwrehodvqeiir
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A zookeeper predicted the weight of a new baby elephant to be 245 pounds when it was born. The elephant actually weighed 277 pounds at birth. What was the percent error of the zookeeper's prediction?
Answ
Step-by-step explanation:
3200%
Based on the lesson identify the first operation needed to solve the following equation 2x + 3 = 11
Answer: Subtract 3 from both sides of the equation
simplify
divide both sides on the equation by the same term
simplify
your answer should be 4
Step-by-step explanation:
Find the slope of AB through points A(1,7) and B(-1,4). m of AB=
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]
Step-by-step explanation:
Given :A ( 1 , 7 ) , B ( - 1 , 4 )
To find :Slope = ?
Solution :Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )
Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )
Finding the slope :
[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]
[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]
[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]
And we're done !
Hope I helped!
Best regards! :D
~TheAnimeGirl
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answer:
C.
Step-by-step explanation:
If a=21m and c=35m what is the length of side b using the pythagorean
theorem?
28m
28
45
help TWT ;-;-;-;-;-;-;
Answer:1
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation:
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer: the number -5 is a real number
Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.
Hope this helps!
Answer:
the number -5 is a real number
Step-by-step explanation:
$1000, 2%, 9 months what is the simple interest
Answer:
principal =1000
time=9
rate=2%
or simple interest = p×t×r/100
= 1000×9×2
=Rs.18000
Answer:
$180
Step-by-step explanation:
Turn 2% to 0.02 then make the formula
1,000*0.02*9=180
Evaluate 3{5 + 3[10 + 4.8]}
Answer:
393
Step-by-step explanation:
HELP WHOEVER IS FIRST GETS BRAINLIST!!!
Answer:
y = (-2/5)x + 3
Step-by-step explanation:
(2/5)x + y = 3
y = (-2/5)x + 3
Which of the following is the best deal per candy bar?
Question 12 options:
5 candy bars for $4.00
4 candy bars for $2.80
10 candy bars for $7.20
2 candy bars for $1.50
QUICKLY PLZZZ
Answer:
the best deal is 4 candy bars for $2.80
Step-by-step explanation:
4/5= 80 cents
2.8/4= 70 cents
7.2/10= 72 cents
1.5/2= 75 cents
the best deal is 4 candy bars for $2.80
I hate math I'm dumbbb
Answer:
Domain is x and range is y
Can someone please help me?
Answer choices:
-Less than
-Greater than
-Greater than or equal to
-Less than or equal to
Answer:
4 + √15 > 3 + √6
Step-by-step explanation:
Hi there !
√15 ≈ 3.87
4 + 3.87 = 7.87
√6 ≈ 2.44
3 + 2.44 = 5.44
7.87 > 5.44
4 + √15 > 3 + √6
Good luck !
Clue 1: The GCF of the mystery pair is 7. Clue 2: The LCM of the mystery pair is 70. Clue 3: Both of the numbers in the mystery pair have two digits. Clue 4: One of the numbers in the mystery pair is odd and the other is even. What is the mystery pair?
Answer:
14 and 35 I believe.
Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).
I hope this helped!
The mystery pair would be required for numbers 14 and 35.
What is HCF?The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
We need to write 70 as the product of its prime factors, which is 70.
⇒ 2 × 5 × 7
14 × 5 and 35 × 2
Given that the GCF of the mystery pair is 7
And the LCM of the mystery pair is 70.
Here the GCF of 14 and 35 would be 7
As per the given condition,
The required numbers in the pair have two digits,
Therefore, the even number is 14, and the odd is 35.
Hence, the mystery pair would be required for numbers 14 and 35.
Learn more about the highest common factor here:
https://brainly.in/question/3803222
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Hey guys Vsauce here I am very dum and don't now what 9+10 equals can sum mega mind help a fellow dude out and give me the answer
Answer:
If you want the real answer, its 19.
If you want the meme answer, its 21.
lol
the answer is 19 also don't waste points you might need it
Write the equation of the line that passes through the points (-3, -7) and (-3,-4) put your answer in fully reduced point slope form unless it is a vertical or horizontal line
Answer:
the equation is x=-3
Step-by-step explanation:
no matter what, the x values are the same, if you have the same values in the same line, it is most likey a vertical line
The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
To learn more on Unit rate click here:
https://brainly.com/question/29180656
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Pampered Pooch charged $10 for 2 hours of doggie daycare and $20 for 4 hours. What is the unit rate? Show your work.
Answer:
$5
Step-by-step explanation:
1=$5 so 2 hours = 10 SO 4hours ×$5= $20
Answer:
$5 per hour
Step-by-step explanation:
hope this helps :D
cheers man
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
$94.25
$118.75
$107.75
$332.50
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
STEP 1: So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
(47.50 x 2 = 95)
STEP 2: So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
(47.50 ÷ 2 = 23.75)
STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
(95 + 23.75 = $118.75)
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
I HOPE THIS HELPED YOU!
Answer:
$118.75
Step-by-step explanation:
Okay, we know a rock per ton is $47.50.
What we need to know is how much 2.5 tons cost.
So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:
($47.50 * 2.5) = $118.75
So 2.5 tons of rock costs $118.75
Have a great day! :)
Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The total amount she can expect to be paidin dollars, can be estimated using the function f(x) = 2.5x + 150 , where is the number of words published . What is the inverse of this function?
Answer:
The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
Step-by-step explanation:
An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:
If f(a)=b then f⁻¹(b)=a
That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.
To construct or calculate the inverse function of any function, you must follow the steps below:
Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values (that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.
You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150
Solving for x:
2.5*x +150=y
2.5*x= y-150
[tex]x=\frac{y-150}{2.5}[/tex]
[tex]x=\frac{y}{2.5}-\frac{150}{2.5}[/tex]
[tex]x=0.4y-60=\frac{2}{5}y-60[/tex]
Exchanging the variable, you obtain that the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=[tex]\frac{2}{5}x-60[/tex]
If 3+k,18-k,5k+1 are in A.P, then find k
• 3 + k , 18 - k and 5k + 1 are in AP .
To find :• The value of K .
Solution :• As we know that, In AP common difference is same :
• b - a = c - b
=> 2b = a + c
Here ,
• a = 3 + k
• b = 18 - k
• c = 5k + 1
=> 2 ( 18 - k ) = 3 + k + 5k + 1.
=> 36 - 2k = 4 + 6k
=> 36 - 4 = 6k + 2k
=> 32 = 8k
=> k = 32/8
=> k = 4
Hence , the value of k is 4.
Answer:
k=4
Step-by-step explanation:
Since the given terms are in A.P., the common difference will be the same
So, 18-k-3-k = 5k+1-18+k
15-2k = 6k-17
6k+2k = 17+15
8k = 32
k = 4
Please!
Which type of transformation is shown here?
A)
dilation
B)
reflection
C)
rotation
D)
translation
Answer:
A
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
7(x−5)−9=334 what is the answer of x
Answer:
[tex]\boxed {x = 54}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7(x - 5) - 9 = 334[/tex]
-Use Distributive Property:
[tex]7(x - 5) - 9 = 334[/tex]
[tex]7x - 35 - 9 = 334[/tex]
-Combine like terms:
[tex]7x - 35 - 9 = 334[/tex]
[tex]7x - 44 = 334[/tex]
-Add both sides by [tex]44[/tex]:
[tex]7x - 44 + 44 = 334 + 44[/tex]
[tex]7x = 378[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7}= \frac{378}{7}[/tex]
[tex]\boxed {x = 54}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]54[/tex].
Raymond wants to run 15/16 mile after school. The school’s track is 3/16 mile long. How many laps around the track will Raymond have to run?