A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?
Answer:
x = 638
y = 1190 - 638 = 552
Step-by-step explanation:
Let x = premium seats
let y = regular seats
x + y = 1190 (ten were not sold
30x + 20y = 30180 (amount collected
now multiply the first equation by 20 and subtract
20x + 20y = 23800
30x + 20y = 30180
-10x = -6380
x = 638
y = 1190 - 638 = 552
check it by multipying x and y by their price to see if you come up with the correct amount
Hope this helps
Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196
Answer:
Step-by-step explanation:
a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?
Answer:
2856
Step-by-step explanation:
if you multiply 238 by 12
you will get the ans
Answer: 2856
Step-by-step explanation:
A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months, multiply the unit rate by 12.
Greg purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Greg paid.
Answer:
c = 4n
Step-by-step explanation:
The total cost (c) is going to be of the 4 notebooks together
We don't know how many notebooks Greg got, so it's represented by n.
It doesn't matter how many notebooks Greg purchased, because each of them were $4.
So to represent the total cost of the notebooks, you would write c = 4n
!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!
Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answer:
Rate of Change: $60 Per year
Step-by-step explanation:
We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.
So,
2000:750
2001:810
2002:870
2003:930
2004:990
2005:1050
2006:1110
2007:1170
2008:1230
2009:1290
2010: 1350
You can graph it out with that, now.
If 8 apples can make 3 pies, then how many pies can you make with 24 apples?
A: 64
B: 24
C: 11
D: 9
E: 6
Express the extended fraction at the right as a simple fraction in lowest terms.
Answer: 5/2
Yes it has to be 5/2
Answer:
5/2
Step-by-step explanation:
11 and 14 please!! I’ll give Brainlist please
Answer:
11. p-(780/6) or p-130
14. 12
Step-by-step explanation:
11. 780/6 because there are 6 people so we split it evenly.
14. 24/2 = 12
please help me answer this question quickly
Answer:
A and D is true.
(see how to solve in pic)
Find the missing numbers.
Answer:
Step-by-step explanation:
1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)
Please answer this question will give brainiest please answer
Answer:2 and 3
Step-by-step explanation:
what is the gradient?
Answer:
[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]
Answer:
The gradient (slope) is -4.
Step-by-step explanation:
Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3). As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8. Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.
PLEASE HELP
Write an equivalent expression for -5x+3×2.5x
Answer:
2.5x
Step-by-step explanation:
-5x+3*2.5x
Multiply
-5x+7.5x
Combine like terms
x(-5+7.5)
2.5x
The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.
1. Find the temperature in Celsius if it is 50°F.
2. Find the temperature in Celsius if it is -10°F.
Answer:
1.) 10
2.) 14
Step-by-step explanation:
Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + 1
3 = 2 + 1
4 = 3 + 1
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]
here,
n is the number of termsa is the first number of the series an is the last number of the seriesSo we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]
[tex] = \frac{25 \times 26}{2} [/tex]
[tex] = 25 \times 13[/tex]
[tex] = 325[/tex]
So, the value of S comes out to be 325.
Answer:
s= 325
Step by step explanation:
Add all numbers 1 to 25 to get 325.
What is the equation of the graph?
y = 4x
y = 1/4x
y = -1/4x
y = -4x
Quadrilateral
A
R
M
Y
ARMYA, R, M, Y is rotated
9
0
∘
90
∘
90, degrees about the origin.
Answer:
See explanation
Step-by-step explanation:
From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.
The question is incomplete; so, I will give a general explanation.
The rule for 90 degrees rotation about the origin is:
[tex](x,y) \to (-y,x)[/tex]
For instance:
A point (4,6) will become (-6,4) after rotation.
Please help me fast! I will give brainly
This is the question,
YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?
10-(5x2)+7 or 10-5x2+7
Yes or No
And Explain the answer
Answer:
He's correct.
Step-by-step explanation:
As long as there is no change in sign of the variables.
math problem for highschool
Answer:
297 units squared
Step-by-step explanation:
You just have to break the squares down and compare them to the other sides of the squares. For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4. By looking at the side relationships of the squares, you can easily find the dimensions of each one.
A - 9 by 9
B - 5 by 5
C - 6 by 6
D - 7 by 7
E - 1 by 1
F - 4 by 4
G - 8 by 8
H - 5 by 5
Multiply and add to get 297
Answer:
297 units squared
Step-by-step explanation:
after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall
Answer: The missed points will subtract 10 from the total score.
Step-by-step explanation:
A missed landing subtracts 2 points.
If they miss the landings 5 times, you know have a problem of 5x2.
5x2=10
Therefore, The points will subtract 10 from the total score.
Please answer my question and explain it.
================================
Work Shown:
4 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
In short, 4 1/2 cups is the same as 4.5 cups
---------
1 cup = 8 fluid ounces
4.5*(1 cup) = 4.5*(8 fluid ounces) ....... multiply both sides by 4.5
4.5 cups = 36 fluid ounces
Answer:
D
Step-by-step explanation:
NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIEST
Task 1 - Nonlinear Systems of Equations
Create a system of equations that includes one linear equation and one quadratic equation.
-
Part 1. Show all work in solving your system of equations algebraically.
-
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
-
Task 2 - Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
-
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
-
Answer:
f(x)5.79(3)^2 for task 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Task 1:
Non linear systems of equations:
x + y = 1 -------------------(I) {Linear equation}
y = 1 - x
y = x² - 5 ---------------(II) {Quadratic equation}
Substitute y =1 - x in equation (II)
(II) --> 1 -x = x² -5
Add 'x' to both sides
1 = x² + x - 5
0 = x² + x - 5 - 1 {Subtract 1 from both sides}
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0 {Rewrite the middle term}
x( x + 3) - 2(x + 3) = 0
(x + 3)(x - 2) = 0
x + 3 = 0 ; x - 2 = 0
x = - 3 ; x = 2
When x = - 3 , y = 1 -(-3 )
= 1 + 3
y = 4
When x = 2 ; y = 1 - 2 = -1
Solution of the equations: (-3,4) & ( 2,-1)
Task 2:
Part 1: x = 40 ; y = 30
(x - y)² = x² - 2xy + y²
(40 - 30)² = 40² - 2*40*30 + 30²
= 1600 - 2400 + 900
= 2500 - 2400
= 100
Part 2:
a = 10 , b = 11
a³ + b³ = (a + b)(a² - ab +b²)
(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )
= 21* (100 - 110 + 121)
= 21 * ( 221 - 110)
= 21 * 111
= 2331
Which coordinate grid shows Point A at (0.25, −1.75)?
Step-by-step explanation:
If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this
The speed limit is 55mph. How far can you travel in 3 hours going the speed limit? How far can you travel if you went 5 miles over the speed limit?
Answer:
If you were going the speed limit, after 3 hrs, you would go 165 miles.
If you were going 5 miles above the speed limit you would go 180 miles.
Step-by-step explanation:
55 x 3 = 165
55 + 5 = 60
60 x 3 = 180
Answer:
165miles
180miles
Step-by-step explanation:
If going 55mph for 3 hours,
55miles/hour * 3hour = 165miles
If going 60mph (5 over the limit) for 3 hours:
60miles/hour * 3hour = 180miles
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!
Answer:
1,3 and the last one
Step-by-step explanation:
a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?
The question is incomplete
Answer:
could you add more information?
Step-by-step explanation:
Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 2/3 inches. if he completely fills the shipping box, how many ring boxes can he ship?
Answer:
I’m sorry but is this all the information given? Because this is incomplete.
Step-by-step explanation:
There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)
This should include the dimensions of the shipping box.
Andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flower per cupcake is needed for Corey’s recipe?
I will give Brian list plz help
Answer:
The Answer is 0.03
Step-by-step explanation:
Andrea = 3.12/8 flower per cupcake
3.12/ 8 = .39
Corey = 2.25/ 7 flower per cupcake
2.25/ 7 = .36
So Corey's recipe needs
( 0.39 - 0.36) = 0.03 flower per cupcake
Can someone please help me with this question I need to find the unit rate.
First we have to take any point, I'll take (5,3).
X-axis represents number of pounds and y-axis represents total cost (in $).
So, 5 pounds = $3
=> 1 pound = $3/5
=> 1 pound = $0.6
=> 1 pound = 60 cents
Answer:
60c per pound.
Step-by-step explanation:
If 5lbs cost 3 dollars, 1lb = 3/5
3/5 = 0.6$
60c
The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)
a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.
b. Write an expression for the total number of cruise ships in the harbor on all 5 days.
