The auditorium will be full after 80 minutes
The total number of seats in the auditorium is the sum of all the people in the auditorium when it is full
Total number of people in the auditorium = 300
Every 10 minutes,15 people leave and 40 people sit down
Number of people joining the room every 10 minutes = 40 - 15
Number of people joining the room every 10 minutes = 25
The number of people originally in the room = 100
Number of people remaining for the auditorium to get full = 300 - 100
Number of people remaining for the auditorium to get full = 200
Number of times 25 people join the auditorium = 200/25
Number of times 25 people join the auditorium = 8
Since 25 people join every 10 minutes for 8 different times:
Time taken for the auditorium to be full = 10(8)
Time taken for the auditorium to be full = 80 minutes
Therefore, the auditorium will be full after 80 minutes
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find f(x)=x^2-x^3,find f(-10)
Answer:
f(-10) = 1,100
Step-by-step explanation:
f(-10) = (-10)^2 - (-10)^3
= 100 - (-1000)
= 1,100
One week, Sharon worked 18 hours as a lifeguard and 12 hours at a concession stand and earned $228. The next week, she earned $254 for 24 hours as a lifeguard and 8 hours at the concession stand. How much per hour does she get paid for each job?
Answer:
She is paid $6.25.hour at the concession and $8.50 as a lifeguard.
Step-by-step explanation:
We know:
18 hours as a lifeguard
12 hours at concession
Total earned = $228
18L + 12C = 228
Then:
24 hours as a lifeguard
8 hours at concession
Total earned = $254
24L + 8C = 254
Move one equation around to get one variable by itself: in this case we can solve for L:
18L + 12C = 228
18L = 228 - 12C
L = (228/18) - (12/18)C
Plug in for L:
24((228/18) - (12/18)C) + 8C = 254
Solve for C:
C = 6.25
Now that we know C, plug in value for C and solve for L:
18L + 12(6.25) = 228
L = 8.5
So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.
LCD of the fractions below
1/3 And 5/8
Answer:
24
Step-by-step explanation:
LCD = 24
Equivalent Fractions with the LCD
1/3 = 8/24
5/8 = 15/24
what's the distance between each pair of points R(0,5), S(12,3)
Answer:
square root of 369
Step-by-step explanation:
HELP PLSSS THIS IS HARD SOMEONEEE
headache
exhausted
less
patrick
Answer:
Step-by-step explanation:
c is correct. To verify this, look at the point (4, 4) on the black graph. For the same x value (4), we have on the red graph the point (4, 2). If we now look at this point (4, 2) on the red graph we see that the y-value (2) is half that of the point (4, -4) on the black graph: f(x) = (1/2)y
How are SSS and SAS similarity theorems different from one another? *
Answer:
when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.
hope this helped
What represents the recursive formula for the arithmetic sequence an=7-3(n-1)
Answer:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Step-by-step explanation:
An arithmetic sequence could be defined using only two pieces of information:
The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:
[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].
Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].
When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:
[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In the equation y= 2 + 7, what is the value of y when the value of x is 26?
Answer:
I think
the value of y will be -24
..... when the value of x is 26
billy started a paper route with 21 customers. if he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route.
Answer:
It will take billy SEVEN weeks
Step-by-step explanation:
It will take Billy seven weeks because 3 x 7 = 21
A girl starts from Point A and walks to 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m from A. What is the bearing of A from C and what is IBCI
Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) =
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°
Step-by-step explanation:
A community collage predicts that 2 out of 12 of the current students will become a nurses if that predicts is true how many students out of 1566 will be come nurses
Please help I really need it!
The rate of change is 2/3
rise = 2
run = 3
rise/over = 2/3
Answer: 2/3 is gonna be your answer. Trust me I have done this exact
g o o g l e form before!
Step-by-step explanation:
What are four decimals that are in between 0.45 and 0.46?
Answer:
[0.45(many 0's)1] through [0.459] repeating 9
Step-by-step explanation:
All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.
The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 0.45 and 0.46.
In order to write the numbers between them, write the given decimals up to 3 places as follows,
The numbers are 0.450 and 0.460.
The four decimals between them are as follows,
0.451, 0.452, 0.453, and 0.454.
Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.
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What is 30474x484 and then that divided by 47
Answer:
313817.3617
Step-by-step explanation:
30474*484 = 14749416
14749416/47 = 313817.3617
Answer:
3687354
Step-by-step explanation:
30474x484 = 14749416
14749416 divided by 4 is 3687354
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?theses are the answers you chose froma: correct ratiob:7:8c: 5;8d: 8:7
Answer:
No, Emma is not correct.
Step-by-step explanation:
because if we put 35 and 42 in rational form we can write it to its simple form by dividing it
35 / 7 = 5
42 / 7 = 6
after dividing we get the answer as 5:6.
Hope it helps ☺️
If a girl says she likes you but then throws a moldy apple at ur head then laughs abt it and then say she was messing does she really like ya
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lablots
Simplify the expression.
options:
33
38
34
39
Step-by-step explanation:
the answer is
[tex] {3}^ {9} [/tex]
the explanation is that {3^3}^4 = 3^12
and 3^12 x 3^2 / 3^ 5 = 3^9
pls help will mark brainliest
solve the system using a matrix.
Answer:wertyuiop[]\]
';lkjhgfd
Step-by-step explanation:
What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)
Answer:
the answer is D.
Step-by-step explanation:
I took the test and got it right!
pls pls pls help me with this
Answer:
h=3
Step-by-step explanation:
divided the 21 by the 7
Help i don't get it. I've been trying
Answer:
JK = 42 , KL = 78
Step-by-step explanation:
JK + KL = JL , substitute values
4x + 6 + 7x + 15 = 129 , that is
11x + 21 = 120 ( subtract 21 from both sides )
11x = 99 ( divide both sides by 11 )
x = 9
Then
JK = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
KL = 7x + 15 = 7(9) + 15 = 63 + 15 = 78
Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.
Answer:
6 7/12 miles
Step-by-step explanation:
Explanation: The total miles she rides is the miles she rides to school + the miles she rides back
Step 1: Convert both mixed numbers into fractions.
2 3/4 = 11/4
3 5/6 = 23/6
Step 2: Find GCF by multiplying both fractions by opposing denominators
11/4 = 66/24 (11 * 6 = 66, 4 * 6 = 24)
23/6 = 92/24 (23 * 4 = 92, 6*4=24)
Step 3: Add both fractions
92/24 + 66/24 = 158/24
Step 4: Simplify
158/24= 79/12 = 6 7/12 miles
Find three consecutive integers whose sum is -30?
Answer:
-10 + -10 + -10 = -30
Step-by-step explanation:
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Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make
A: 10 pillows
B: 6 pillows
C: 5 pillows
D: 3 pillows
Answer:
A: 10 pillows
Step-by-step explanation:
Conventional way:
Turn 6 into 6/1.
6/1 ÷ 3/5
Answer: 10
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The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?
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Answer:
32 revolutions per minute(rpm)
Step-by-step explanation:
v inversely proportional to t
so if v increases t will decrease and vice versa
inverse equation is xy=k
xy=k
48×20= 960 (revolutions)
then you'll take k(960) and divide it by number of teeth
so..
960/30 = 32 revolutions per minute
Can you help me please.
what do you want us to do with the equation? evaluate it? solve for X? solve for y? if you don't tell us then we cannot solve it
Step-by-step explanation:
you never really specified what you want us to do with the equation
True or False: In order to solve an equation, we must isolate the variable.
What is the value of 32.5 ÷ 4.5 × − 4.5 , written as a decimal?
giving brainly
Answer:
-32.5 hope this helps:)
NEED THIS ASAP PLEASE HELP
The variables x and y in the figure represent the measures of angles.
Solve for x and y.
Answer:
y=45 x = 63
Step-by-step explanation:
ill type it if u need it