Question po
In an auditorium, a charity show is conducted in order to raise at least $3,000. The auditorium can
accommodate up to 180 spectators. Tickets cost $12 for students and $20 for adults. Identify the system of
inequalities and the corresponding graph that determine whether the charity will reach its goal.
Answers
If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
In an auditorium, a charity show is conducted in order to raise at least $3,000.
The auditorium can accommodate up to 180 spectators.
Tickets cost $12 for students and $20 for adults.
Let x be the number of students and y be the number of adults. Then we have
x + y = 180
12x + 20y ≥ 3000
By solving, equations 1 and 2. Then we have
x = 75 and y = 105
If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.
The graph is given below.
More about the inequality link is given below.
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Related Questions
Expand the following
Answers
Answer:
There are multiple ways to expand but I did it by using sum/difference formulas.
3(x-2) = 3x-6
8(2x+2) = 16x+16
5(x-1) = 5x-5
2(6x+3y) = 12x+6y
What is the equation of a circle with a center of (2,0) and a radius of 7 units?
Answers
Answer:
y^2 + (x - 2)^2 = 49
Step-by-step explanation:
X-4\7=-10 what is equal to x
Answers
Answer:
x = -66
Step-by-step explanation:
x-4 = -10 * 7
x - 4 = -70
x = -70 + 4
x = -66
Feel free to mark this as brainliest! :D
The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84
Answers
The value of x when y = 84 is 14
From the question,
The value of y varies directly with x
That is,
y ∝ x
Introducing the constant of proportionality, k
We get,
y = kx
Also, from the question
If x = 3, then y = 18
Putting these values into the equation, we can determine the value of k
[tex]y = kx[/tex]
[tex]18 = k \times 3[/tex]
Now, divide both sides by 3
[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]
[tex]6 = k[/tex]
∴ k = 6
Now, to determine the value of x when y = 84
We will put y = 84 and the value of k =6 into the equation
[tex]y = kx[/tex]
[tex]84 = 6 x[/tex]
Divide both sides by 6
[tex]\frac{84}{6} = \frac{6x}{6}[/tex]
[tex]14 = x[/tex]
∴ [tex]x = 14[/tex]
Hence, the value of x when y = 84 is 14
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a man walks at 4mph for 6 hours . how far did he walk?
Answers
Answer: the average speed = 6 miles/hour
Step-by-step explanation:
Average speed is ( total distance ) / ( total time )
For the 1st 6 miles
6=4.t
t=1.5 hrs
let s = speed for last 2.5 hrs
hope it helps
mark me brainliest pls
Simplify the expression
(-2r^3 s^5)^5
Answers
If a 1/4 gallon of paint covers a 1/6 of a wall continuing at this rate how much paint is needed for the entire wall
Answers
Answer:
1 1/2 gallons
Step-by-step explanation:
1/4 * 6 = 6/4 = 3/2
1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall
that means it takes 6 times 1/4 gallon to finish the wall
What is the smallest integer 160 needs to be multiplied by to give a square number
Answers
60 X 15= 900
Square root of 900= 30
The smallest integer 160 needs to be multiplied by to give a square number is 15.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The smallest integer 160 needs to be multiplied by to give a square number;
60 x 15= 900
Hence,
The square root of 900= 30
Learn more about root;
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I'm lost on this thing, can any of y'all help? would be appreciated
Answers
Answer:
wher is question
Step-by-step explanation:
Need the answer for numbers 4,8,and 12
Here’s the answers they could be!
There’s 4 of the answers that won’t be used
539.68
-438.75
22.54
136.6
79.38
-65.9
167.5
Answers
9514 1404 393
Answer:
4) -438.75
8) 539.68
12) 22.54
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.
__
4) 6xy = 6(-7 1/2)(9 3/4) = -6(7.5)(9.75) = -438.75
__
8) I = prt = $2442 × 0.085 × 2.6 = $539.68
__
12) I = prt = ($578)(0.0325)(1.2) = $22.54
I need help please help
Answers
Answer:
Im not sure
Step-by-step explanation:
QUICK QUESTION: did I do this right?
Answers
Answer:
Yup looks correct
Step-by-step explanation:
Lol I verified using the calculator :)
3 3/4- 2 1/5 as a mixed number
Answers
The expression written as a mixed number is 1 (11/20).
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given expression is 3 (3/4) - 2 (1/5).
Rewrite the expression as a mixed number:
3 (3/4) - 2 (1/5)
= 15/4 - 11/5
= (75 - 44)/20
= 31/20
= 1 (11/20)
Hence, the expression written as a mixed number is 1 (11/20).
Learn more on fractions here:
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If f(x) is the total cost, in dollars, of x cupcakes, which of the following statements best describes the meaning of f(5) = 12?
Answers
Answer:
See belowStep-by-step explanation:
This a form of the proportional relationship:
f(x) = kx, where f(x) - total cost, k- cost of each item, x - number of itemsWe have:
f(5) = 12It means:
Total cost of 5 cupcakes is $12In f(x)
f(x) is total costx is total cupcakesSo in f(5)
5 cupcakes cost $12What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
Answers
(Y2-y1)/ (x2-x1)
= (6-4)/(3-9)
= 2/-6
= -1/3
Which means that for every increase in x, y decreases by 1/3.
N = d + h + z
7
for h
A. h = 7(N - d-z)
c. h = 7N â€" 4 â€"z
B. h = 7N + 7d + dz D. h = 7N + d + z
Answers
Answer:
I prefer A is the option that suits this question
A list of numbers is made with the pattern: Start with 3, and multiply by 2 each time.
Here is the beginning of the list of numbers: 3, 6, 12, . . .
Explain how you could use "fill down" in a spreadsheet to find the tenth number in this list.
Answers
Step-by-step explanation:
A1 3
A2 =A1*2
this A2 cell we just fill down at least to the 10th line to A10.
A10 then will display the 10th number of the list.
overall, we can see that the 10th number must be
3×2⁹
as the first number is just a constant (the starting value), and each of all the other 9 numbers are multiplying by 2.
Who was in Paris ???? ?
Who?
Answers
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
identify the slope and the y-intercept. Show your complete solution.
7x - 2y = 13
Answers
Solving Steps:
The equation must be put in slope-intercept form to easily identify the slope and y-intercept.
Slope-intercept form: y = mx + b
7x - 2y = 13
-2y = -7x + 13
y = 3.5x - 6.5
Improper fraction form: y = 7/2x - 13/2
in wildlife park, there were 18 gray wolves. after three years, there were 27 gray wolves. what is the percent gain?
Answers
Answer:
50%
Step-by-step explanation:
The percent gain is calculated as
[tex]\frac{gain}{original}[/tex] × 100%
gain = 27 - 18 = 9 , then
percent gain = [tex]\frac{9}{18}[/tex] × 100% = [tex]\frac{1}{2}[/tex] × 100% = 50%
Find the missing angle measurement! Please show/tell me what u did to solve the problem aswell
Answers
Answer:
x = 12
Step-by-step explanation:
The sum of exterior angles is = 360
one of the angle is given we will need to add all three angles
128 + 8x + 11x + 4 = 360 add like terms
19x + 132 = 360 subtract 132 from both sides
19x = 268 divide both sides by 19
x = 12 replace x in required expressions to find the measure of the angles
PLEASE help!! BRAINLIEST to correct answer!!
Answers
The general equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is (h,k) and the radius is r.
The equation we are given is:
[tex](x-2)^2+(y+3)^2=80[/tex]
From this, the center is (2,-3), and the radius is [tex]\sqrt{80}[/tex], or [tex]4\sqrt{5}[/tex].
Let me know if you have any questions, thanks!
I will mark brainliest!!
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = x^2}}[/tex]
[tex]\huge\boxed{\mathsf{x^2 = \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}[/tex]
[tex]\huge\boxed{\mathsf{x = \pm \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}[/tex]
[tex]\huge\boxed{\sqrt{121} = \bf 11}[/tex]
[tex]\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
jamie is filling up her swimming pool. She already had 10 gallons in it. She opened the hose to fill it up the rest of the pool at 20 gallons per hour
A.) Write a function for given scenario.
B.)Would the graph be continuous or discrete?
Answers
B.) continuous
you have from 10pm to 11:30 to do a project. At 11, what fraction of the time remains
Answers
Answer:
1/3
Step-by-step explanation:
10 to 10:30
10:30 to 11
11 to 11:30
3 periods of time
10 to 11 is 2/3 periods
3/3 - 2/3 = 1/3
True or False: A biconditional statement is a statement in which a conclusion is true if the conditions of a particular hypothesis are true.
Answers
Answer:
thats false
Step-by-step explanation:
I NEED HELP ASAP PLEASE NO LINKS!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
This one can be a little bit of a devil. If 1 is raised to an even power, it is plus 1. The key to the problem is 4^-3
The minus tells you to turn it over so that you get 1/4^3
4^3 = 64
1/4^3 = 1/64
I
Simplify the expression.
2/5y−4+7−9/10y =
Answers
Step:
solve for Y -2(y-3)+12y>16
Answers
Answer:
Y>1
Step-by-step explanation:
A conside the equation y= 1.5x+2. Find four pairs of x and y values that make the equation true.plot points (x,y) on the coordinate plane.
