Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP
Answers
b = number of tickets sold before
a = number of tickets sold after
cost of a ticket = number of tickets times cost per ticket
before cost = 39.95b
after cost = 54.95a
total cost = 925000
39.95b + 54.95a = 925000
total number tickets = 20000
b + a = 20000
we have
39.95b + 54.95a = 925000
b + a = 20000
multiply second equation by -39.95 and add to first equation
39.95b + 54.95a = 925000
-39.95b-39.95a = -799000 +
0b+15a = 126000
15a = 126000
divide bot sides by 15
a = 8400
sub back
b + a = 20000
b+8400 = 20000
minus 8400 both sides
b = 11600
11,600 tickets sold before
8400 tickets sold after
Related Questions
What is the amplitude of the function?
Answers
Answer:
Step-by-step explanation:
The amplitude is half of the range.
a=(maximum-minimum)/2, in this case
a=(2-(-4))/2
a=6/2
a=3
Which net can be folded to form a triangular pyramid?
Answers
The net that can be folded to form a triangular pyramid is net b
How to determine the net that can be foldedFrom the question, we have the following parameters that can be used in our computation:
The nets in the list of options
As a general rule, a triangular pyramid has 4 triangles such that
Three triangles are adjacent and one triangle is at the top or at the bottom
using the above as a guide, we have the following:
The net that can be folded to form a triangular pyramid is net b
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What fraction of the catapults flung a marshmallow 30 inches or less?
Answers
Answer:
1/4
Step-by-step explanation:
Each whisker represents 1/4 of data
A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses.
Plan A Plan B Total
Yes (group 1) 40 (32.5) 20 (27.5) 60
No (group 2) 6 (13.5) 19 (11.5) 25
Total 46 39 85
Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?
a. A simple random sample should have been taken from all the employees, and then each employee in the sample should have been asked their plan preference and whether or not they have family members covered under the current health insurance plan.
b. The expected cell counts are not large enough to apply the chi-square test for homogeneity.
c. The total sample size is not large enough to apply the chi-square test for homogeneity.
d. The total sample size is too large to apply the chi-square test for homogeneity.
e. All conditions necessary to apply the chi-square test for homogeneity are satisfied here.
Answers
Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.
Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.
The total sample size is too large to apply the chi-square test for homogeneity.
We have given that,
A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B.
Plan A Plan B Total
yes(group 1) 40(32.5) 20(27.5) 60
No (group 2) 6 (13.5) (11.5) 25 25
Total 46 39 85
We have to find which statement is true,
What is sampling without replacement?Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.
The sample size should not exceed 10 percent of the population size.when we use sampling without replacement,
Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.
Therefore,the total sample size is too large to apply the chi-square test for homogeneity.
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Which probability indicates that an event will definitely occur?
1/4
1/2
3/4
1
Answers
Answer:
1
Step-by-step explanation:
because it is WHOLE where as other shows unsureness.
Choose all values of a that make the following equation true: 3/4 = a/36.
A.23
B.27
C.22
D.108/4
Answers
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The equation can be solved by multiplying by 36.
3/4 = a/36
a = 36(3/4) = 108/4 = 27
The listed values that make the equation true are 27 and 108/4.
A quarter is tossed. How many total number of outcomes are there? total number of outcomes
Answers
Answer:
2
Step-by-step explanation:
Answer:
2 is the correct answer please mark brainliest
Step-by-step explanation:
A snack recipe calls for 1 cup of sunflower seeds. The recipe makes 6 cups of the snack.
Joshua wants to make 24 cups of the snack to bring on a camping trip.
How many cups of sunflower seeds will Joshua need?
Answers
Answer:
4
Step-by-step explanation:
Bc if you want 24 servings but it serves 6 you have to multiply it by 4 do it's 1*4 =4 because 6*4 =24
Answer:
4/14 as a fraction
Step-by-step explanation:
i did the test
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Answer:
x=95
Step-by-step explanation:
Is the tank filling or draining
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Answer:
the tank is filling- hence the +8
Step-by-step explanation:
72 is what percent of 180
Answers
Answer:
.40 or 40 percent
Step-by-step explanation:
What is the area of the figure?
O 11 square units
O 18 square units
24 square units
32 square units
Answers
Answer:
18
Step-by-step explanation:
Answer:
yes 18 is correct
Step-by-step explanation:
Evaluate √−6x^2 + 4x when x = −6
Answers
Answer:
− 24 + 6 i √ 6
Step-by-step explanation:
Pls Answer correctly and I’ll give you the brainliest
Answers
Answer: x=7
Step-by-step explanation:
plug y into equation...
x-(-4x+23)=12
solve...
x+-1(-4x+23)=12
x+-1(-4x)+-1(23)=12
x+4x-23=12
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Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He uses 1/4 of that amount to paint the bathroom and the rest to paint the kitchen.
Answers
Answer:
He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.
Step-by-step explanation:
1/4=25%=.25
Multiply 5 by .25
5*.25=1.25
Subtract 1.25 from 5
5-1.25=3.75
1.25 gallons for bathroom
3.75 gallons for kitchen
Hopefully this was helpful.
Solve the inequality:
2x+10≥16
Select one:
x≥13
x≤13
x≥3
x≤3
Answers
Answer:
x≥3
Step-by-step explanation:
Answer:
3rd choice down, if you need may other help, just hit me up
Lines that are not in the same plane are called lines O A. transversal O B. parallel O c. skew O D. perpendicular
Answers
Answer:
your answer is C.
Lines that are not coplanar and do not intersect are called skew lines.
and incase you need this answer too, Parallel Planes. Two planes that do not intersect are called parallel planes.
Which of the following statements are true? Select all that apply.
63=3*3*3*3*3*3
025=2x5
45=4*4x4x4x4x4
03=3*3*3*3
023=4*4*4
52=5*5
Answers
Answer:
a
Step-by-step explanation:
Answer pleaseeeeeeee
Answers
2(T+1)=10 what does t equals ?
Answers
2t+2=10
move 2 to the other side , making it negative
2t=10-2
2t=8
divide both sides by 2
t=4
2T+2=10
2T=10
T=5
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 68 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school?
Answers
Answer:
170
Step-by-step explanation:
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60,000, his monthly income is The variable x represents in the inverse function. If John's spending limit is
Answers
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the third toss is heads. Use the format to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas.
Answers
Answer:
Sample space:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Third toss is heads:
{HHT, HTT, THT, TTT}
First toss is heads, second tails and third heads:
{HTH}
Explanation:
In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.
{HTH}
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y= -5/2x+ 5
O y=2/5x-1
O y=2/5x+5
Answers
Answer:
[tex]y = -\frac{5}{2}x-1[/tex]
Step-by-step explanation:
5x + 2y = 12
2y = -5x + 12
[tex]y = -\frac{5}{2}x +6[/tex]
Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.
[tex](4) = -\frac{5}{2}(-2) + b[/tex]
4 = 5 + b
b = -1
The new equation is [tex]y = -\frac{5}{2}x-1[/tex]
Dean Webber purchased 4 smoothies for $19.60. At this price, what is the cost per smoothie?
Answers
4.9 is the cost per smoothie
Answer:
$ 4.90 per smoothie
Step-by-step explanation:
The total cost of all of the 4 smoothies is $19.60. So, to find the answer you need to divide 19.60 with 4 and you'll get 4.9 or as dollars $4.90.
A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the scale of the drawing? What is the perimeter of the actual painting? What is the area of the actual painting?
Answers
Answer:
x = 18
Step-by-step explanation:
[tex]\frac{8}{12} = \frac{12}{x}[/tex]
then cross-multiply8x = 12 * 12
8x = 144
[tex]\frac{8x}{8} = \frac{144}{8}[/tex]
x = 18
4. Tori bought x shares of Mattel stock for m dollars per share. She sold
all of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.
Answers
Answer:
mx = y
or
y = mx
Step-by-step explanation:
If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.
mx = y
or
y = mx
double the quotation of a number (x) and 6.
Answers
Hey there!
Your answer is [tex]2(\frac{x}{6} )[/tex]
"Double" represents multiplying by 2. "the quotation of a number (x) and 6" represents division. So, we can double [tex]\frac{x}{6}[/tex], which gives us [tex]2(\frac{x}{6} )[/tex].
Have a terrificly amazing day! :D
what is the resistance of a circuit if it has a voltage of 50v and a current of 8 ? and show me the calculations
Answers
Answer:
25/4 ohm
Step-by-step explanation:
Use Ohm‘s Law: V=IR which stands for Voltage = Electric Current * Resistance.
Plug in your given values: 50 = 8R. R = 25/4 ohm.
What is the difference between a short term savings account and a long term savings account?
Answers
Answer:
takes advantage of compounding
Step-by-step explanation: