Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
What is the completely factored form of this polynomial?
81x4 − 16y4
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
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An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
[tex]R = -400x^{2} +7200x+70000[/tex]
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increaseHow the variable [tex]x[/tex] represents the price increase, we can do the formula below:
[tex](10000 - 400x) * (7+x)[/tex]In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:
[tex](10000 - 400x) * (7+x)[/tex]We operate the values:
[tex]70000+10000x-2800x-400x^{2}[/tex]Solve we can:
[tex]70000+7200x-400x^{2}[/tex]And organize:
[tex]-400x^{2} +7200x+70000[/tex]At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:
[tex]R=-400x^{2} +7200x+70000[/tex]The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.
Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]
[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]
[tex] Percentage = \frac {23}{173} * 100 [/tex]
[tex] Percentage = 0.1330 * 100 [/tex]
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
Five units to the right of -6
Answer: -1
Step-by-step explanation:
Quadrilateral ABCD with AB = 5.5cm, BC = 3.5cm, CD = 4cm, AD = 5cm, and <A = 45°.
Step-by-step explanation:
hope it helps
mark me brainliest
Need help with number 2 pls
1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630
so we can write y=70*3^x, where x is the number of hour
Will mark brainliest!!!
Solve for x
Answer:
2
Step-by-step explanation:
On Saturday moming, Owen earned $27. By the end of the afternoon he
had earned a total of $60. Enter
an equation, using x as your variable, to determine whether Owen earned $33 or $37 on Saturday
afternoon.
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts
Answer:
3.5?
Step-by-step explanation:
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.
We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,
Average rate = (1750 - 0) / (600 - 100)
Average rate = 1750 / 500
Average rate = 3.5
The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.
More about the average rate change of a function link is given below.
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ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
[tex]y = \frac{3}{2} x + 4[/tex]
what is the description to match the equation. what is her rate? did she get a head start?
Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
Matthew bought a video game for 25 dollars the following week his friend found the game on sale and bought it for 17 dollars what is the percent of decrease in price of the game
Answer:
14% decrease
Step-by-step explanation:
they making me write more since I'm ambitious
Help pls confused with question
Answer:
Number 2: I believe an 85
Number 4: The answer is 20 days.
Step-by-step explanation:
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
Write the equation of the line in fully simplified slope-intercept form.
y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11
Answer:
y = ⁴/3x - 7
Step-by-step explanation:
✔️First, find the slope (m):
Slope (m) = ∆y/∆x = 4/3
m = ⁴/3
✔️Determine the y-intercept (b):
The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.
b = -7
✔️Write the equation:
Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).
y = ⁴/3x + (-7)
y = ⁴/3x - 7
In a study of pain relievers, 100 people were given product A, and 71 experienced relief. In the same study, 50 people were given product B, and 31
experienced relief.
Fill in the blanks of the statement below to make the statement the most reasonable possible.
Product? performed worse in the study because only % got relief with this product, whereas % got relief with Product?
Answer:
Product B performed worse
Step-by-step explanation:
71% experienced relief with Product A
31/50, which is 62%, got relief with Product B
What’s the anwser for this. I’m so confused
Answer:
Its A
Step-by-step explanation:
over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.
the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.
Answer:
D
Step-by-step explanation:
-2.25 x 3 = 6.75
the temperature decreased by 6.75 after 3 hours
Answer:
The temperature decreased by 6.75 degrees Fahrenheit.
Step-by-step explanation:
This is answer choice D because the Start of Temperature is:
70F
Start Time: 9AM
(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)
Find the mid segment of GH
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
(1, 1), (–1,5)
find slope
Answer:
slope = 0MARK ME AS A BRAINLIST AND FOLLOW MEDUE IN 5 MINUTES!!!1!!11!1!!1
123 + 392 - 234 x 2 ÷ 3 + 223 x 14 =
Answer: 3481
Step-by-step explanation:
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.
Help how do I solve this and what is the answer. Explain plz
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
Step-by-step explanation:
A)5200*54/12*7.36/100=5440.44
b)5200+5440.4410,640.44
Answer:
a. $1722.24 b. $6922.24
Step-by-step explanation:
for a: 5200*0.0736*54/12= 1722.24
for b: 1722.24+5200= 6922.24
factor the expression using gcf 69 + 84
Answer:23/28
Step-by-step explanation:
69 + 84 = 23/28
if you divide it by 3
3(9+c+b) if c=13 and b=4
Answer:
78
Step-by-step explanation:
Hope this helped. Pls mark brainliest
Answer:
78
Step-by-step explanation:
3(9+13+4)
9+13+4 = 26
3(26) = 78
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
