The complete question is;
A popular band is trying to raise at least $20,000 for charity by holding multiple concerts at a park. It plans to sell tickets at $25 each. For each 2-hour concert, the band would need to pay the park $1,250 in fees for security, cleaning, and traffic services.
The band needs to find the combinations of number of tickets sold, t, and number of concerts held, c, that would allow it to reach its fundraising goal.
Write an inequality to represent the constraints in this situation.
Answer:
(25t)c - 1250 ≥ $20,000
Step-by-step explanation:
We are told the band is trying to raise at least $20,000.
It's trying to sell tickets at $25 each.
We are told that they pay the park $1,250 in fees for security, cleaning, and traffic services.
Now, expenses for each concert is $1,250.
Now, we are told that the number of tickets sold is t, and number of concerts held, c.
Thus, total amount that can be realized for "c" number of concerts is;
A = (25t)c
Now, expenses for each concert is $1,250.
Thus, total profit for "c" number of concerts is;
P = (25t)c - 1250
Now, they are trying to raise at least $20,000. Meaning greater than or equal to $20,000.
Thus, the profit must be greater than or equal to $20,000.
Thus, the inequality is;
(25t)c - 1250 ≥ $20,000
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
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Which of the following is equivalent to 6-3?
A
-1/216
B
216
C
-216
D
1/216
Answer: Im not sure if this is correct I just need points. B
Step-by-step explanation:
Option D is correct, 1/216 is the equivalent expression of 6⁻³ .
The given expression is 6⁻³.
Six to the power of minus three.
We have to find the equivalent expression.
Equivalent expression are expressions whose value is same but looks different.
6⁻³ can be written as 1/6³.
1/6×6×6
1/216.
Hence, 1/216 is the equivalent expression of 6⁻³ .
To learn more on Expressions click:
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Graph a line that contains the point -6,1 and has a slope of 5
Answer:
y=5x+31
Step-by-step explanation:
y=mx+b
1=(-6*5)+b
1=-30+b
31=b
y=5x+31
(5*-6)+31
-30+31
1
you can also graph a line on desmos
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
Answer:
A.16–i is correct.
Step-by-step explanation:
(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]
(4²–i²)=16–i
I hope this answer is correct so please vote my answer
write a situation to represent the equation y=0.5x
Answer:
John went out to buy apples, the apples at the store each costed 0.5 dollars. How much money did John spend if he bought 50 apples?
Pretty simple, hopefully it is good enough, hope this helps!
A line's equation is a unified representation of all of the line's points.
Find the equation of the line pass though origin and slope 1/2 ?
What is the Equation of a Line?A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general form, which is of the form ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tan.To learn more about : Equation of a line.
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Sam is seven times as old as Tim.If Sam is 42 how old is Tim?
Answer:6 because 42/7=6
Step-by-step explanation:
Please help. I'm desperate!!!!!!!!!!!
What is the slope line through (0,4) and (3,2)?
Answer:
The answer is -2/Trust
Step-by-step explanation:
Answer:
Its D 100%
Step-by-step explanation:
HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24
Answer:
5:20 3:12
Step-by-step explanation:
The first number is 1/4 the size of the second number, hence thise being correct.
45 + 15(n − 1) for n = 6
Answer:
120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Plug in what you know so: 45+15(6-1)
So, following the order of operations, you do the parentheses first so: 45+15(5)
Then, still following the order of operations, you'd multiply from left to right. So: 45+75
Then, you add from left to right, so you get 45+75=120
Your answer is 120.
I don’t understand please help me
Answer:
Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.
solve for y on both i will give brainlizest thankssss & HURRY
2y+7x=4
6x=7-4y
Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answer:
I would say your answer is (D
PLEASE help me with this! (50+ Points)
The given table of values represents a linear equation. What is the slope?
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
Answer:
slope=∆y/∆x
thus any values of x and y in the table can be used.
slope=(11-9)÷(4-3)
slope= 2.
Find the range of this function
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-4) and (6,-16)
We have
[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you
I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute
Mariah and Jakob have $35 to spend at the fair. Jakob takes a ride that costs $13 then takes another ride that costs more than the last ride. Mariah spends $10 on 3 cake pops. Then spends five more dollars on the photo booth with Jakob, only Mariah spends her money on the photo booth. How much does the other ride cost for Jakob. How much money does Mariah spend on the photo booth?
Answer:
The cost of the other ride Jacob took = $22
The amount Mariah spends on the photo boot with Jacob = $5
Step-by-step explanation:
The given information are;
Whereby the question states that amount Mariah and Jacob each have to spend = $35
The amount Jacob spends on the first ride = $13
The amount Mariah spends on the 3 cup cakes = $10
The amount Mariah spends on the photo boot with Jacob = $5
Let the cost of the other ride Jacob took = R
Given that Jakob spent all his available money at the fair, we have;
35 = 13 + R
R = 35 - 13
R = $22
Therefore, the cost of the other ride Jacob took = R = $22
The amount Mariah spends on the photo boot with Jacob = $5.
Find the measure of x that would make m∥n.
Answer:
to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees
PLEASE HELP !!!!!!!!!!!! ASAP
If set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is
Step-by-step explanation:
AuB={3,4,7,9}U{8,9,10,11}
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g
Answer: k 2 + 3 g − 6
hope this helps
Write a sentence as an equation using the given information in each problem.
1. Write the sentence as an equation.
the product of 371 and d is the same as 52
2. Write the sentence as an equation. n decreased by 320 is equal to 139
3. Write the sentence as an equation. 317 is equal to k plus 110
4. Write the sentence as an equation.
the total of 374 and k is the same as 305
5. Write the sentence as an equation. 398 is the same as d plus 6
Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
Need help with the equations thank you
Step-by-step explanation:
#1
Equation 1 = 2-6 over 1-3
#2
Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
Answer:
y=0.25x+3
Step-by-step explanation:
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
HELP!! What is the value of B in terms of pie?
Answer:48
Step-by-step explanation:
Answer:
48
Explanation, cone with it's height to the value.
Given: W (-4, 2) and Z (7, 5).
What is the slope of the line parallel to WZ?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
[tex]\frac{5-2}{7- (-4)}[/tex] = [tex]\frac{3}{11}[/tex]