The members of a drama club sold tickets to a school play.
Each student ticket (s) costs $5.
Each adult ticket (a) costs $7.
28 more student tickets were sold than adult tickets.
The total amount of ticket sales was $800.
Which equation can be used to determine the number of adult tickets sold:
a
5(a + 28) + 75 = 800
b
5(a + 28) + 7a = 800
5(S + 28) + 7 a = 800
d
5(5 + 28) + 75 = 800
Answer:
Step-by-step explanation:
28*5 115 sub 115 from 800 then divide 685 by 5 then add 7 into that number 28 times
X^2-18x-2=0. Which number would have to be added to “complete the square”?
Step-by-step explanation:
its83
(a+b)^2=a^2+2ab+b^2
x^2+(-9)2x-2=0
b^2=81
83+(-2)=81
find the 6th term of 6, 8, 32/3
Answer:
The 6th term of the sequence is 6144/243
Step-by-step explanation:
From what we have, we can see that the sequence might be geometric
to confirm this, we have to check if the common ratio is the same all through
To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal
thus, we have it that;
32/3 * 1/8 = 8/6
= 4/3 = 4/3
We can confirm that the sequence is thus geometric
Now, to find the nth term of a geometric sequence, we have it that;
Tn = ar^(n-1)
where a is the first term, given as 6
r is the common ratio given as 4/3
n is the term number given as 6
Thus, we have this as:
T6 = 6 * (4/3)^(6-1)
T6 = 6 * (4/3)^5
T6 = 6144/243
A circus rents a rectangular building that has floor dimensions of 50 by 100 feet
Answer:
50 x 100=5,000
Step-by-step explanation:
50 x 100
6) You are shooting the puck along the path
seen in the picture of the air hockey table.
Find the mZxº and the mzmº.
Answer:
m = 58°
x = 64°
Step-by-step explanation:
When a puck touches one side of the air hockey table,
All the angles formed are located at a point on a straight line.
Therefore, sum of angles formed is 180°.
m° + m° + 64° = 180°
2m + 64 = 180
2m = 180 - 64
2m = 116
m = 58°
m∠y = m = 58° [Alternate interior angles]
Similarly, on the other side of the table,
58° + y° + x° = 180°
58° + 58° + x° = 180°
x + 116° = 180°
x = 180 - 116
x = 64°
if 1-3(y+2)=-32 find the value of y/3
Answer:
7.6
Step-by-step explanation:
-3 multiple by y and -3 multiple by 2 resolve to 7.6....
If two events A and B are independent, and you know that P(A) =
what is the value of P(A|B)?
Select one:
There is not enough information to determine the answer.
7/10
3/10
1
Answer:
i think its 7/10
Step-by-step explanation:
Factor the difference of perfect squares. 4x^2 - 1
Answer:
(2x+1)(2x-1)
Step-by-step explanation:
4x^2-1
(2x)^2-1
(2x)^2-1^2
(2x+1)(2x-1)
When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?
Answer: 152 days
Step-by-step explanation:
Answer:
152 days
Step-by-step explanation:
Hope it helps u
FOLLOW MY ACCOUNT PLS PLS
The dot plots below display the pre- and post-test math scores for students in of Mr. Perez's
math classes.
The mean for the Pre-Test scores is 4.
The mean for the Post-Test scores is 10.
The mean absolute deviation of both tests is 2.
Describe the difference between the means as a multiple of the MAD.
Answer:
so one the MAD is wrong its actually 1 for both and
The multiple would be 4 and 10.
Step-by-step explanation:
4x1=4
10x1=10
Long cooks three Vietnamese dinners that weigh a total of 40 ounces. What is the average(mean) weight for each dinner?
Answer:
The average (mean) weight for each dinner is 13.33 oz.
Step-by-step explanation:
mean = sum of all data points / total number of items in the set
mean = 40 / 3
mean = 13.33 oz
The price of a cup of coffee was $2.10 yesterday. Today, the price rose to $2.45. Find the percentage increase. Round your answer to the nearest tenth of a
percent.
Answer:
16.6667% increase
Step-by-step explanation:
Percentage Increase=Final Value−Starting Value|Starting Value|×100
Answer:
17%
Step-by-step explanation:
The increase is calculated as the difference between yesterday's price and today's price, hence $2.45 - $2.10 = $0.35
As a fraction of yesterday's price, the fraction is [tex]\frac{0.35}{2.10}[/tex], which reduces to [tex]\frac{1}{6}[/tex]. Expressed as a decimal fraction, this is 0.16... Shift the decimal point two places to the right to get the percentage increase of 16.6...%.
Since it said to round to the nearest tenth, rounding it makes the answer of 17.0% or 17% because since 6 is bigger than 10, we needed to round up and thus the answer is 17%.
Need someones help on this!
Answer:
x^3
Step-by-step explanation:
quotient property of exponents
I think the answer is c. x^3
kam
A company's stock was selling at
$28 a share. A month later, it was
selling at $21 a share. What is the
percent loss?
[?]%
Answer:Im pretty sure it's 25% percent loss
Step-by-step explanation:
sorry if im wrong
what is the volume of this sphere? Use a 3.14 and round your answer to the nearest hundredth. cubic feet Submit Work it out Not feeling ready yet? This Area of circles 47)
Answer:
4.19 cubic feet
Step-by-step explanation:
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
PLS HELP!! I WILL GIVE BRAINLYIEST!!
Answer:
surface area = 544 cm²
Step-by-step explanation:
surface area = (16)(8 + 6 + 8 + 6) + (2)(8)(6) = 448 + 96 = 544 cm²
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 2 inches, and a height of 1 1/2 inches. What is the surface area of the box?
Answer:
SA = 157 in²Steps:
SA = 2LW + 2WH + 2LH
SA = 2(9×2) + 2(2×11/2) + 2(9×11/2)
SA = 2×18 + 2×22/2 + 2×99/2
SA = 36 + 22 + 99
SA = 157 in²
These numbers tell how many books five different students read in the past six months. 8, 11, 15, 22, and 6 a) Create a different set of five pieces of data with a greater mean, but with at least two values less than the values in the set of data above. b) Create a different set of five pieces of data with a lower mean, but with at least two values greater than the values in the set of data above. How did you make it work? c) Create a different set of five pieces of data with a lower mean, but with a higher median than the original set.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Origibal data set
8, 11, 15, 22, 6
Rearranging The value :
x : 6, 8, 11, 15,22
Mean = Σx / n
n = sample size =5
Mean = (6+8+11+15+22) = 62
Mean = 62 / 5 = 12.4
Median = 1/2(n+1)th term
Median = 1/2(6)th term = 6/2 = 3rd term = 11
A.)
X = 4, 5, 15, 23, 19
MEAN = (4 +5 + 15 + 23 + 19) / 5 = 13.2
B.)
X = 2, 6, 5, 23, 34
Mean = (2+6+5+23+24) / 5
Mean = 60 / 2 = 12
C.)
X = 3, 7, 12, 21, 13
X = 3, 7, 12, 13, 21
Mean = (3+7+12+13+21) /5 = 11.2
Median = 1/2(6)th term = 6/2 = 3rd term = 12
98 = x + 55 what is it????
Answer:
x = 43
Step-by-step explanation:
x = 98 - 55
x = 43
Answer:
x=43
Step-by-step explanation:
have a nice day and stay safe:)
Use the table to determine a reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3? One-half One-fourth 3 DNE
The reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Given the limit of a function expressed as:
[tex]\lim_{x \to 3}\frac{2x^2-x+15}{x^3-5x-12}[/tex]
First, we need to substitute x = 3 into the function to have:
[tex]=\frac{2(3)^2-3+15}{3^3-5(3)-12}\\=\frac{18-3+15}{27-15-12}\\=\frac{0}{0} (indeterminate)[/tex]
Apply l'hospital rule on the function:
[tex]=\lim_{x \to 3}\frac{\frac{d}{dx} (2x^2-x+15)}{\frac{d}{dx} (x^3-5x-12)}\\=\lim_{x \to 3}\frac{4x-1}{3x^2-5}\\[/tex]
Subtitute x = 3 into the result
[tex]=\frac{4(3)-1}{3(3)^2-5}\\=\frac{12-1}{27-5}\\=\frac{11}{22}\\=\frac{1}{2}[/tex]
Hence the reasonable estimate for limStartFraction 2 x squared minus x + 15 Over x cubed minus 5 x minus 12 EndFraction as x approaches 3 is [tex]\dfrac{1}{2}[/tex]
Learn more here: https://brainly.com/question/23935467
Answer:
1/2
Step-by-step explanation:
i am in your walls
mary says the pen for her horse is an acute right triangle. Is this possible?
HELPPPPPPPPPPPPPPP!!!!!!!
Answer:
I feel like the answers are 10 and -2
Step-by-step explanation:
Hope this helps! Have a great day and good luck! :)
Express 0.80 as a fraction in its simplest form.
Answer:
4/5
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
0.8
=8/10
=4/5
Write the word sentence as an equation.
12 less than a number m equals 20.
An equation that represents this word sentence is
Answer:
x - 12 = 20
Step-by-step explanation:
If I'm wrong do x = 12 - 20
A person borrows a certain amount of money. He has to pay the debt in equal installments once every month, for 10 years. The first installment was paid on 2016-01-01. Find the date on which he has to pay the final installment.
Answer: January 1, 2025
Step-by-step explanation:
The debt is due to be paid back in 10 years.
If the first payment was in 2016, the last payment should therefore be:
= 2016 + 9 years
= 2025
We used 9 years because 2016 was the first year of payment so the remaining years would be 9 years.
As the first payment was on January 1, 2016, the last payment would have to be on the same date in 2025 which is:
= January 1, 2025
Let f(x) = 2x–8 and g(x) = x + 2. Find f(g(x)) and g(f(x)).
Answer:
g(f(x)) = 2x - 6
f(g(x)) = 2x - 4
Step-by-step explanation:
g(f(x)) = 2x - 8 + 2
g(f(x)) = 2x - 6
f(g(x)) = 2(x + 2) - 8
f(g(x)) = 2x - 4
Answer: g ( 2 x − 8 ) = 2 x− 6
Step-by-step explanation: MAKE ME BRAINLIEST!!!!!
Morgan purchased $30.46 worth of groceries. She paid the cashier with
a $50 bill. How much change should she receive?
marking brainliest
if right
+
how to get
Answer: 19.54
explanation:
50.00
-
30.46
----------------
19.54
Answer: 19.54$
Step-by-step explanation: 50.00
-30.46
= 19.54
Determine if the relation below represents a function. Explain your reasoning
Given:
The graph of a relations.
To find:
Whether the relation is a function or not.
Solution:
A relation is a function if there exist unique outputs for each input. If a graph passes the vertical line test then is a function.
Vertical line test: Each vertical line intersect the curve at most one.
In the given figure draw a vertical at [tex]x=1[/tex] as shown in the below figure.
From the below graph, it is clear that the vertical line intersects the curve at two points. So, it does not pass the vertical line test.
Therefore, the given relation is not a function.
PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
15 points!!! PLEASE HELP!!!
Find the solution to the following equations below and identify either one solution, no solution, or infinite solutions. Be able to explain your choice.
3(x+4)=3x+11
-2(x+3)=-2x-6
4(x-1) = 1/2(x-8)
3x-7=4+6 +4x
Answer:
3(x+4)=3x+11
3x + 12 = 3x + 11
3x + 1 = 3x
No solution
-2(x+3)=-2x-6
-2x - 6 = -2x - 6
x = x
Infinite solutions
4(x-1) = 1/2(x-8)
4x - 4 = 1/2x - 4
8x - 8 = x - 8
7x = 0
x = 0
One solution
3x-7=4+6 +4x
3x - 7 = 10 + 4x
x = -17
One solution