Answer:
612 students and 325 adults.
Step-by-step explanation:
To determine the number of adults and students who attended the event, knowing that in total there were 937 people who spent a total of $ 1,109 and that each student ticket is worth $ 0.75 while each adult ticket is worth $ 2, the following logical reasoning must be performed:
2 - 0.75 = 1.25
Therefore, the minimum that each ticket will be worth is $ 0.75, while there will be a surplus of money that will be divisible by 1.25, which is the amount of more that each adult paid on their ticket.
Therefore, since 0.75 x 937 equals 702.75, the total price surplus is 406.25 (1,109 - 702.75). Now, this number divided by 1.25 gives a total of 325, with which 325 adults attended the event. In turn, given that the total number of attendees was 937, the total number of students who attended the event is 612 (937 - 325).
A room 24'-0" x 22'-6" requires ____ square feet of ceiling tile and ____ square yards of carpet. (1 square yard = 9 square feet; 3' x 3' = 9')
Answer:
540 ft² ; 60 yd²
Step-by-step explanation:
1 square yard = 9 ft²
Dimension of room:
24ft 0in by 22ft 6in
1 in = 1/12 ft
6in = (1/12) * 6 ft = 0.5 feet
Hence, Dimension of room in feet ;
24ft by 22.5 ft ;
Square feet of ceiling tiles; (24 * 22.5)ft² = 540ft²
Square yards of carpet needed :
1 yd² = 9 ft²
Let yd² of carpet needed = x
1 yd² = 9 ft²
x yd² = 540 ft²
Cross multiply ;
9x = 540
x = 540 / 9
x = 60
Hence, 60yd² of carpet is needed
is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
what is --
% of $85 = $17
Answer:
78
Step-by-step explanation:
Answer
78
Step-by-step explanation:
A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon
Answer:
45+3.x
Step-by-step explanation:
Each person gets a haircut --> 3.15= 45
Look at the triangle below.
Which of the following statements is not true?
a+b=y
180−(a+b)=y
x+y=180
180−x=a+
x+y=180 a+b=y
180−(a+b)=y
a rectangular box has 6 flat faces and ? straight edges
A.4
b.6
c.8
d.10
e.12
Answer:
12 straight edges
Answer: 12
Step-by-step explanation:
Please answer this for 100 points. Also click on the picture to full screen it.
Answer:
C
Step-by-step explanation:
Hope this helps have a great day. :))))
5% as a decimal and a fraction
Answer:
5%=0.05=1/20
Step-by-step explanation:
If charlie runs to the store 3 miles away in 32 minutes, what is his speed?
Answer:
5.63
Step-by-step explanation:
i took the test
Answer:
5.63 miles per hour
0.0948 miles per minute
10:40 pace per mile
Which sentence is true about an equiangular triangle
A. Only 2 angles have the same measure.
B. Only 2 sides are the same length.
C. Each angles has a different measure.
D. All sides are different lengths.
E. All angles have the same measure.
Answer:
E
Step-by-step explanation:
it has equi which means equal then it has angle. Equal angle triangle
Answer:
E
Step-by-step explanation:
its equal triangle hope this helped good luck
What is the slope of (-2,5) and (-2, -6)
a m=undintified
b m= 0
c m= 11 over 4
d m= negative 11 over 4
Answer:
B
Step-by-step explanation:
Apply slope intercept form, y2-y1 / x2 - x1. -6 is y2, -2 is x2, 5 is y1, and -2 is x1.
-6 - 5 / - 2 - (-2)
-11 / -2 + 2
-11 / 0
0
The slope is 0. B is your answer. I hope this helps you!
Which of the following graphs represents a relation that is not a function
Identify if it is Additive or Multiplicative.Also make the equation that matches.
Answer:
additive
Step-by-step explanation:
X +9 = Y
Hope this helps!
Braniliest?
What is the quotient?
6)12
A 2
B. 3
C. 4
D. 5
Answer:
A.2 po
Step-by-step explanation:
himdi po ako sure sa answer ko
Can someone help me pls
PLEASE HELP FIND THE MEDIAN OF THESE NUMBERS:
55, 42, 78, 99, 69, 83, 74, 83, 97
The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 37 and a standard deviation of 8. Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
Answer:
49.85% of light bulb replacement requests numbering between 37 and 61
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, Standard deviation = 8
Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
37 is the mean
61 = 37 + 3*8, so 61 is three standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.
By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:
0.5*0.997 = 0.4985 = 49.85%
Help please on this question
Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer
Step-by-step explanation:
All of the following ordered pairs satisfy the function rule y=-3x+2 except
(1, -1)
(4,-10)
(-2,8)
(-3, 12)
Answer:
The ordered pair (-3, 12) DOES NOT satisfy the equation.
Step-by-step explanation:
Given the function
[tex]y=-3x+2[/tex]
Let us substitute all the values to check which points satisfy the function.
FOR (1, -1)
y = -3x+2
substitute x = 1, y = -1
-1 = -3(1) + 2
-1 = -3+2
-1 = -1
TRUE!
Thus, the ordered pair (1, -1) satisfies the equation.
FOR (4, -10)
y = -3x+2
substitute x = 4, y = -10
-10 = -3(4) + 2
-10 = -12+2
-10 = -10
TRUE!
Thus, the ordered pair (4, -10) satisfies the equation.
FOR (-2, 8)
y = -3x+2
substitute x = -2, y = 8
8 = -3(-2) + 2
8 = 6 + 2
8 = 8
TRUE!
Thus, the ordered pair (-2, 8) satisfies the equation.
FOR (-3, 12)
y = -3x+2
substitute x = -3, y = 12
12 = -3(-3) + 2
12 = 9+2
12 = 11
L.H.S ≠ R.H.S
FALSE!
Thus, the ordered pair (-3, 12) DOES NOT satisfy the equation.
Therefore, the ordered pair (-3, 12) DOES NOT satisfy the equation.
Rectangle ABCD is similar to rectangle EFGH.
What is the value of s?
Answer: 3m is the answer!
Step-by-step explanation:
I NEED HELP WITH THIS PROBLEM
Answer:
3 1/2, 3
Step-by-step explanation:
Good luck!
Answer:
(3.5,-3)
hope that helpeddd :)
1 foot =12 inches therefore 3 feet = what
Answer:
36 inches
Step-by-step explanation:
Just multipy 3 by 12.
The question is on the jpg link.
Answer:
A. y=-4/3x
Step-by-step explanation:
The line that passes through those points has a slope of -4/3
Slope intercept form is y=mx+b
whereas m is the slope and b is where the line intercepts the y-axis.
the line intercepts the y-axis at the origin.
Substitute the slope into the equation
y=-4/3x+0
y=-4/3x
Hope this helps. Have a nice day you amazing bean child.
Yahir Garcia Solis
Gerald read
7
of a book. Mary read of the same book.
How much more of the book did Gerald read?
Georgia made many contributions to the war effort during World War I.
For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)
Trained Recruits
provided canned goods, uniforms, and bandages
planted victory gardens
Georgia farmers
volunteered for military duty
Georgia military facilities
grew cotton for clothing
CHOICES:
Georgia Farmers
Georgia Military facilities
Georgia Factories
Georgia Citizens
I need help please. .
Answer:
i think c
Step-by-step explanation:
PLEASSS HELP!!!!!!! I REALLY NEED HELP!!
Answer:
[tex] \underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}[/tex]
Step-by-step explanation:
[tex]if \: the \: question \: is \to \\ \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD } + m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x = \frac{88}{8} \\ \boxed{ x = 11} \\ \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\ \boxed{m\angle{ABE} =55}[/tex]
For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x – 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.
Answer:
the lines are perpendicular to each other
Step-by-step explanation:
The standard form of equation of a line is y = mx+c
m is the slope of the line
c is the intercept
Given the equations
10x – 3y = 3
3x + 10y = 30
Get the individual slopes
For 10x – 3y = 3
Rewrite in standard form
-3y = -10x + 3
y = 10/3 x - 3/3
y = 10/3 x - 1
Slope of the line is 10/3
For the equation 3x + 10y = 30
10y = -3x+30
y = -3/10 x + 3
Slope of the line is -3/10
Take the product of the slopes
10/3 * -3/10 = -1
Since the product of their slopes is -1, hence the lines are perpendicular to each other
X + 10y - 4y + 4x
:combine like terms:
What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving
The question is incomplete. Here is the complete question.
USA Today reported that 36% of adult drivers admit that they often or sometimes talk on a cell phone when driving. This was based on a random sample of 1004 adult drivers.
a) What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
b) What is a 95% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
c) What is a 99% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?
d) What do you notice?
Answer and Step-by-step explanation: The way to calculate confidence interval for proportions is by using the following formula:
[tex]z(\sqrt{\frac{p(1-p)}{n} } )[/tex]
where
p is the sample population proportion
n is the number of individuals in the sample
z is z-score associated of the % of confidence
a) A 90% confidence has a z-score of z = 1.645
Calculating:
Interval = [tex]1.645(\sqrt{\frac{0.36(1-0.36)}{1004} } )[/tex]
Interval = [tex]1.645(\sqrt{0.00023} )[/tex]
Interval = [tex]1.645(0.01515)[/tex]
Interval = 0.025
A 90% Confidence interval for true population is between 0.335 and 0.385.
b) A 95% confidence has a z-score of z = 1.96
Since the sample parameter didn't change, the interval will be:
Interval = 1.96(0.01515)
Interval = 0.03
For a 95% confidence, interval is between 0.33 and 0.39.
c) A 99% confidence has a z-score of z = 2.58
Interval = 2.58(0.01515)
Interval = 0.39
For a 99% confidence, interval is between -0.03 and 0.75
d) Confidence interval tells you how certain your results from polling or survey would represent the real population's behaviour. In the experiment above, as the percentage of certainty grows, closer the real population proportion actually is for adult drivers who often or sometimes talk on a cell phone when driving.
10,000 times 100,00 help please
Answer:1,000,000
Step-by-step explanation:THERE U GO :)