There are 5 slides, i've provided image for them all i need help with it. if your going to answer write it in order from slide 1-5 so it's easier to understand.
Answers
Answer:
mark as brainleast and fo-ll-ow me
Slide 1.
Part A.
1. Band A: y = 600
2. Band B: y = 1.25x + 350
Part B.
200 students.
Slide 2.
Part A.
Fixed cost = $150
Rate per student served = $6
Part B.
To figure the cost/person, look at the change in cost divided by the change in attendance.
For 100 students, cost = $750.
For 150 students, cost = $1050.
Change in cost = $300
Change in students = 50
Cost per additional student = 300/50 = $6
Assuming the costs are linear, then the price charged for 100 students reflects the cost per student + a 'fixed cost' that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
We can check this notion by substituting in the other equation.
Does 150*6 + 150 = 1050? Yes.
150*6=900
900+150 = 1050.
Slide 3.
Part A.
She can choose either band, with $9.75 per ticket, if 200 students attend
Part B.
Check the cost using band A and 200 people, including food
600 + 150 + (6*200) =
600 + 150 + 1200 = $1950
Cost per ticket: = 1950/200 = $9.75
Cost using band B, 200 people, including food:
350 + 1.25(200) + 150 + (6*200) =
350 + 250 + 150 + 1200 = $1950
Cost per ticket: 1950/200 = $9.75
This means that Paula can choose either band, and the ticket cost will be the same.
Slide 4.
Part A.
Cost per ticket: $8.50 (of Band A, since it is the cheaper one)
Part B.
Check the cost using band A and 300 people, including food
600 + 150 + (6*300) =
600 + 150 + 1800 = $2250
Cost per ticket: = 2250/300 = $8.50
Cost using band B, 200 people, including food:
350 + 1.25(300) + 150 + (6*300) =
350 + 375 + 150 + 1800 = $2675
Cost per ticket: 2675/300 ≈$8.92
Which means that in this scenario is Band A is less expensive.
Related Questions
A jet travels at 483 miles per hour. Which equation represents
the distance, d, that the jet will travel in t hours?
Answers
Answer:
d=483t
Step-by-step explanation:
If i recall correctly
distance = velocity * time
This means that
d=483t
What is the first quartile of the following data set?
15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Answers
Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
The first quartile of the given data set is 20.
Here,
To find the first quartile of a data set, we first need to arrange the data in ascending order.
Then, we can calculate the position of the first quartile using the formula:
Position of the first quartile (Q1) = (n + 1) / 4
where n is the number of data points in the data set.
Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Now, let's calculate the position of the first quartile:
n = 11 (since there are 11 data points in the data set)
Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3
The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.
So, the first quartile of the given data set is 20.
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Please answer this correctly without making mistakes
Answers
Answer:
1 ft 3 in
Step-by-step explanation:
4 + 11 = 15
15 inches in feet is 1 foot 3 inches
Hurry please it’s a test question and I’m timed
Answers
Answer:
The collector pays %1.50 for each card.
Step-by-step explanation:
Put it together in a big problem
87 + 9 - 16 + 3 = 83c
$124.50 / 83 = 1.5
=$1.50
Answer:
B. $1.50
Step-by-step explanation:
He starts out with 87 cards.
87 + 9 = 96
96 - 16 = 80
80 + 3 = 83
Total sale = $124. 50
124.5 ÷ 83 = $1.50
Answer: $1.50
Hope this helps!!
I need help please mates I’ll give u ten points
Answers
The dot plot shows the number of chess games won by each of the 20 students in a competition.
Which statement about the data is true?
A. The median is 4, and the interquartile range is 10
B. The median is 4, and the interquartile range is 5
C. The median is 5, and the interquartile range is 10
D. The median is 5, and the interquartile range is 5
Answers
Answer:
Letter B is the correct answer. Median is 4 and IQR is 5.
Step-by-step explanation:
The median is 4 and the interquartile range is 6. The correct option is B.
What is an interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
The median is the middlemost value of the numbers arranged in ascending orders. If the number of the data is an odd number so the median will be a middle number if the number of the data is even then the median is the mean of the middle two numbers.
The data is given below:-
0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Median = (4 + 4) / 2 = 4
The interquartile range is calculated as:-
0,0,0,1,1,3,3,3,4, | 4,4 |, 6,6,7,7,7,8,8,9,10
Lower range upper range
IQR = 7 - 1 = 6
Therefore, the median is 4 and the interquartile range is 6. The correct option is B.
The complete options are given below:-
A. The median is 4, and the interquartile range is 5
B. The median is 4, and the interquartile range is 6
C. The median is 5, and the interquartile range is 6
D. The median is 5, and the interquartile range is 5
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Given that XY is a line segment with the angle a= 21 and c = 33 work out the value of the angle marked b
Answers
Answer:
b = 126°Step-by-step explanation:
xy = 180° = a + b + c
180 = 21 + b + 33
180 - 21 - 33 = b
b = 126°
what is this and how do you do it ? thank you
Answers
Answer:
$568.38
Step-by-step explanation:
Michaels starts the day with $782.88 in his account.
Then he uses $55 from his debit cars to pay for car repairs. Subtract 55 from 782.88 to get $727.88 in the account after the repairs.
After that, he uses $89.50 for a clothing purchase. Subtract $89 from $727.88 to get 638.88, then subtract another 50 cents to get $638.38 after the clothing purchase.
Lastly, he withdraws $70 from his account. Subtract 70 from $638.38 to get a final answer of $568.38 at the end of the day.
find the length of side a
Answers
Answer:
12
Step-by-step explanation:
Hope this helps
Here are the numbers of supporters at five different ice hockey matches.
75,600
7,506
75,650
7,056
75,026
What is the difference between the largest number of supporters and the smallest?
Answers
Answer: 68,594
Step-by-step explanation: Take the largest number 75,650 and subtract the smallest number 7,056.
75650 - 7056 = 68,594
2x+3= -15 what is x step by step
Answers
Answer: x = -9
Step-by-step explanation: To solve for x, we first isolate
the term containing x which in this case is 2x.
Since 3 is being added to 2x,
we subtract 3 from both sides of the equation.
On the left, the +3 and -3 cancel out
and on the right, -15 - 3 is -18.
So we have 2x = -18.
Now we can finish things off by dividing
both sides of the equation by 2.
On the left, the 2's cancel and on
the right, -18 divided by 2 is -9.
So we have x = -9 which is the solution to this equation.
What is the positive radian measure of the smaller angle formed by the hands of a
clock at 5 o'clock?
Answers
Answer:
the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians
Step-by-step explanation:
Given the data in the question;
smaller angle formed by the hands of a clock at 5 o'clock
{at 5 o'clock, two angles are form; 150° and 210°}
hence, the smaller angle is 150°
so, smaller angle = 150° × π/180°
smaller angle = 150°π/180°
smaller angle = 5π/6 radians or 2.618 radians
Therefore, the required positive radian measure of the smaller angle is 5π/6 radians or 2.618 radians
The positive radian measure of the angle formed by the hands of the clock at 5 o'clock is [tex]\frac{5\pi}{6}\text{ radians}[/tex]
In one minute, the long hand makes a full turn equivalent to [tex]2\pi[/tex] radians.
At 1 o'clock, the smaller angle formed by the hands of the clock is
[tex]\dfrac{2\pi\text{ rads}}{12}=\dfrac{\pi}{6}\text{ rads}[/tex]
At 5 o'clock, the smaller angle is five times the one we have when the time is 1 o'clock. That is
[tex]\dfrac{\pi}{6}\text{ radians}\times 5=\dfrac{5\pi}{6}\text{ radians}[/tex]
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n Brad's golf bag, he has 4 times more white golf balls than yellow golf balls. He has 24 white golf balls in his bag.
Which equation can be used to find how many yellow golf balls, y, Brad has in his bag?
A.
24y = 4
B.
4y = 24
C.
4 + y = 24
D.
24 + y = 4
Answers
Answer:
4y = 24
Step-by-step explanation:
Given:
4 x Number of yellow balls = Number of white balls
Number of white balls = 24
Number of yellow balls = y
Computation:
4 x Number of yellow balls = Number of white balls
4 x y = 24
4y = 24
Number of yellow balls = y = 6 balls
(d) Hong bought 20 pounds of flour for $10.
How many dollars did he pay per pound of flour?
Answers
Answer:
$0.50 per pound
Step-by-step explanation:
divide the amount in pounds by the amount in dollars. Hope this helps <3
At a water elevation of 6,391 ft, Mono Lake has a volume of 2,939,000 ac-ft, and a surface area of 48,100 ac. Annual inputs to the lake include 8 in of direct precipitation, runoff from gauged streams of 150,000 ac-ft per year, and ungauged runoff and groundwater inflow of 37,000 ac-ft per year. Evaporation is 45 in per year.
Required:
a. Make a water budget showing inputs, in ac-ftper year and outputs in ac-ft per year. Does the input balance the output?
b. Will the average lake level rise or fall from the 6391ft elevation over the long-term?
c. What would be the lake surface area when the inputs blance the outputs? ( Assume that the volume of gauged and ungauged runoff and ground-water inflows remain constant with a change in lake surface area).
d. What is the residence time for water in Mono Lake when the water surface is at 6391ft?
Answers
Answer:
Step-by-step explanation:
love you babe
Matrices C and D are shown below.
2
1
0
a
b
-0.4
C= 0 3
4
D=0
-0.2
0.8
0
2
1
O
0.4
-0.6
What values of a and b will make the equation CD = I true?
a=0.5
b=0.1
O a=0.1
b=0.5
a=-0.5
b=-0.1
Submit
Answers
Answer:
it's b
Step-by-step explanation:
hope this helps! :D
Answer:
A
a=0.5
b=0.1
Step-by-step explanation:
edge2021
Jania gets paid $16 to babysit plus an extra $4 for each child. Cheryl gets paid $10 to babysit plus an extra $6 per child. If c represents the number of children who are babysat, which equation could you use to find the number of children that would give Jania and Cheryl equal pay?
Answers
Answer:add
Step-by-step explanation:
a car has 7 gallons of gas the car gets 40 MI per gallon how many gallons does it take
Answers
Find the ordered pairs for the x- and y- intercept of the equation 8x-2y=16 and select the appropriate option below.
A) The x-intercept is (-2,0), the y-intercept is (0,8).
B) The x-intercept is (0,2), the y-intercept is (-8,0).
C) The x-intercept is (0,-2), the y-intercept is (8,0).
D) The x-intercept is (2,0), the y-intercept is (0,-8).
Answers
Answer:
D
Step-by-step explanation:
Midpoint question......
Answers
Answer:
24; 12; 35
Step-by-step explanation:
Midsegments are 1/2 or their parallel line, so:
SU*2=QR
QR=24
Since QT is half of QR because point T is the midpoint of that line:
SU*1=QT
QT= 12
If PR=70, then ST is half of that:
70/2=35
PLZ HELP I NEED IT DONE IN 5 MINUTES PLZ HURRY Determine the approximate ordered pair for f(x)=g(x)
Answers
Answer:
the 2 lines cross at 2,18
Write an expression that represents the height of a tree that begins at feet and increases by feet per year. Let represent the number of years.
Answers
Answer:
h = f + fy
Step-by-step explanation:
h represents height
f represents feet
y represents years
The graph of y=cos x° for -180
Answers
The ratio of the measures of three angles in a triangle is 14:5:11. Find the measures of the angles
Answers
Answer:
84 degrees
30 degrees
66 degrees
Step-by-step explanation:
14 + 5 + 11 = 30
180/30 = 6
14 × 6 = 84 degrees
5 × 6 = 30 degrees
11 × 6 = 66 degrees
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A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1 and $96.25 in year 2.
The rate of inflation from year 1 to year 2 is ___ %.
Fill in blank.
Answers
Answer:
1.315%
Step-by-step explanation:
Given:
Prices:
Year 1 =old price =$95
Year 2 = new price = $96.25
The inflation rate is the difference in price between two Given period :
Inflation rate :
(Change in price / old price) * 100%
((New price - old price) / old price) * 100%
((96.25 - 95) / 96) * 100%
= (1.25 / 95) * 100%
= 0.0131578 * 100%
= 1.315%
A=1/2h(b1+b2)
Please solve for b2
Answers
Answer:
[tex]\displaystyle b_2=\frac{2A}{h}-b_1[/tex]
Step-by-step explanation:
Equation Solving
Given the formula:
[tex]\displaystyle A=\frac{1}{2}h(b_1+b_2)[/tex]
It's required to solve it for b2.
First, we eliminate denominators by multiplying by 2:
[tex]\displaystyle 2A=h(b_1+b_2)[/tex]
Divide by h:
[tex]\displaystyle \frac{2A}{h}=b_1+b_2[/tex]
Subtract b1:
[tex]\displaystyle \frac{2A}{h}-b_1=b_2[/tex]
Write the new formula:
[tex]\boxed{\displaystyle b_2=\frac{2A}{h}-b_1}[/tex]
Which statement is true about the value of the expression below?
PLEASE HELP
Answers
Answer:
The answer is It is between 0 and 1
Step-by-step explanation:
If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.
What is the equation of the line that passes through the point (-8, -6) and has a
slope of 1/4?
Answers
Answer:
equation passes poin that is (x1,y1) = (-8 -6)
m= slope=1/4
then,using formula
y-y1=m(x-x1)
y+6=1/4(x+8)
4y+24=x+8
arrange them,
x-4y-16=0
If labor costs were $3,000,000 last year and $2,700,000 this year, what percentage decrease was achieved?
Answers
Answer:10%
Step-by-step explanation:
The percentage decrease achieved would be 10 % when labor costs were $3,000,000 last year and $2,700,000 this year.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
The labor costs were $3,000,000 last year and $2,700,000 this year which is given in the question.
We have to determine the percentage decrease that was achieved.
As per the given information, the required evaluation would be as:
⇒ ($3,000,000 - $2,700,000)/3,000,000 × 100
⇒ 3,000,00/3,000,000 × 100
⇒ 0.10 × 100
⇒ 10 %
Therefore, the percentage decrease achieved would be 10 %.
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help with math :((((
Answers
Answer:
See below
Step-by-step explanation:
[tex]area \: = 5b \times 3a \: = 15ab \\ \\ perimeter = 2(5b + 3a) \\ \\ = 10b + 6a \\ \\ = 6a + 10b[/tex]
