The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
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A city council acquired 3,437.5 acres of land to add to their park system. The city plans to divide the acreage evenly into 22 separate parks.
There will be ___ acres in each park.
please help
I'll mark brainliest if your right! please help me!!!!
Answer:
its 3 and 5
Step-by-step explanation:
i know this because i took the quiz and its simple
Peter drives his motorcycle for 56 miles with three different speeds and the average speed is 12.8 miles per hour. First, he drove 4.8 mph and the last speed is 7.4 mph. What is the second speed?
Answer:
your answer is 0.8 mph
Step-by-step explanation:
i hope i help you
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.
Answer:
Step-by-step explanation:
Find the slope
Answers:
Question 1 options:
-3
3
-2
Answer:
b
Step-by-step explanation:
are c and d the correct answer for this question?
Answer:
A E
Step-by-step explanation:
A => 10/4 = 5/2
B => 4/2 = 2
C => 2/5
D => here y is less than x
E => 10/4 = 5/2
What is the slope of the line in this graph?
A. 5/9
B. 5/7
C. 7/5
D. 9/7
Answer:
B) 5/7
Step-by-step explanation:
...............
Answer:
b) 5/7
Step-by-step explanation:
rise/run
Which algebraic expression is equivalent to the expression below?
7(2x + 8) - 2
A.
14x + 54
B.
14x + 56
C.
14x + 6
D.
14x + 42
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's evaluate ~
[tex]7(2x + 8) - 2[/tex][tex]14x + 56 - 2[/tex][tex]14x + 54[/tex]Therefore , the correct choice is ~ A
Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay? How do you know?
Answer:
(can't answer a since the ratio chart is incomprehensible through text)
b. 20 feet of ribbon for $12.00
12 / 3 = 4
5 x 4 = 20
c. 17 feet of ribbon for $10.20
find unit rate (cost / quantity)
3 / 5 = $0.60 per feet
0.60 x 17 = 10.2
The basketball team and volley ball team are having a competition to see which team can raise the most money for a local charity.
The basketball team is selling raffle tickets for 4.50 each and has already raised $275
The volleyball team is selling raffle tickets $2.50 each and has already raised $500
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: ____________
Volleyball Team: ____________
write an equation that would represent when the basketball team would have more money than the volleyball team.
How many tickets would the basketball team need to sale to have more money than the volleyball team?
Basketball Team Equation: _________
Volleyball Team Equation: _________
Basketball answer:_____
Volleyball answer:_____
Answer:
Step-by-step explanation:
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: T(B) = 4.50x(B)
Volleyball Team: T(V) = 2.50x(V)
The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).
We know the amounts each team has raised, sio we can calculate the number of tickets:
Basketball
$275 = $4.50x(B)
x(B) = 61.11 [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]: 61 tickets from the Baseball team
$500 = $2.50x(V)
x(V) = 200 tickets from the Volleyball team
---
"write an equation that would represent when the basketball team would have more money than the volleyball team."
We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]
T(B)/T(V) = ($4.50x(B))/($2.50x(V))
1 <= ($4.50/$2.50)*(x(B)/x(V))
1 <= 1.8(x(B)/x(V))
x(V) <= 1.8*(x(B))
The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.
----
The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.
To reach $500:
$500 = $4.50*x(B)
x(B) = 111.11 (Another rounding problem, but we don't need to worry. It wants to kniow "how many MORE."
(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.
Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3
Answer:
3 miles
Step-by-step explanation:
6 total miles
3 miles done
6 (total) = 3 (done) + x (unknown)
x = 6 - 3
x = 3
3 miles left to hike
Apply the Triangle Sum Theorem to find the sum of the angles in the pentagon. A pentagon can be divided into three triangles.
Step-by-step explanation:
according to angle sum property of triangle
sum of all 3 angles of triangle is 180°
and here it is given that the Pentagon is divided in 3 triangles,
now,
3×180 = 540°
therefore, option C 540° is correct
hope this answer helps you dear! take care
Answer:
540
Step-by-step explanation:
Each triangle only has 180 degrees
We have 3 triangle, 180 + 180 + 180 = 540 degrees
PLEASE HELPPPPPPPPPPPPPP
Answer:
The answer is 18
Step-by-step explanation:
4050/225 = 18
Therefore 4050/18 = 225
A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.
Then descends at a rate of 2 feet per minute for 7 minutes. How far above the ground is the
balloon now?
When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.
20 - 14 = 6 feet
This means that the balloon is now 6 feet above the ground.
I hope I've helped! :)
Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly
earns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?
.85
Answer: Cheryl earns $6.20 more per hour.
Step-by-step explanation:
$/hr OT $/hr OT
18 1.5 27
16.6 2 33.2
Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime). She earns $6.20 more per hour. [How's it feel, Colby?].
Cheryl earns more from overtime than Colby by $6.2 per hour.
Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl = 16.60 * 2= $33.20
So,
33.20 > 27
Implies
Their overtime earnings
of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.
Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.
Learn more about arithmetic here:
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Noah receives a $5 discount each month on his cell phone bill because he signed up for
auto-pay from his bank account. Over the last 8 months, Noah has paid a total of
$280 for his cell phone bill. What would Noah be charged for his cell phone bill each
month if he stopped using auto-pay?
$34
$30
$35
$40
Answer:
Noah would pay $40 each month
The discount Noah received decreased the amount he pays by $5 every month.
Total discount in 8 months = 8 x $5 = $40
If Noah stopped using autopay, he would have to pay the full amount
Without the discount, the total amount Noah would pay in 8 months = amount paid without discount + total discount amount
$280 + $40 = $320
Amount Noah would pay per month = Total amount he pays in 8 months without discount / 8
$320 / 8 = $40
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
can someone help me please.
Answer:
B, or second answer choice
Step-by-step explanation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
y - 1/3 = 3/4 (x - 4)
B
What is the image of M(11,-4) using the translation (x,y)->(x-17,y+2?
Answer:
(-6, -2)
Step-by-step explanation:
Which product is represented by the hundredths grid A. 0.5 X 0.02 = 0.01
B. 5 X 0.2=1
C. 0.5 X 0.2 = 0.1
D. 0.05 X 0.02 = 0.001
Answer:
The product of A would be the answer
PLEASE HELP!!! I need help, I don't understand please help me!!!!
Answer:
2.5
Step-by-step explanation:
Length of CB is 5
so we can take CF which is the midpoint and divide that by 2 since its split
what's 12+12+12?
_______
.
Answer:
the answer is ;
12+12+12 = 36
7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)
Answer:
$1.129
Step-by-step explanation:
Katie has 4 1/2 ponds of flour. She uses 3/4 of it to bake brownies. How much flour does she need to make brownies? Basically I need to know if I divide or multiple?
Answer:
1/3 and you divide
Step-by-step explanation:
41/2 = 9/2
3/4 ÷ 9/2
3/4 ×2/9 = 6/18
6/18 = 1/3
Answer:
Step-by-step explanation:
Okay. 4 and 1/2 simplifies to the improper fraction, 9/2. And 3/4 of it would mean we MULTIPLY it by the total, 9/2 pounds. (Whenever we see OF, we know that the operation is multiplication.) I think that you can do the rest from here, but I'll include a solution at the bottom if you still need help.
...
(9/2)*(3/4)=(9*3)/(2*4)=27/8=3 and 3/8 pounds of flour used to make brownies.
Hope this helps! Good luck! :)
A cyclist travels 122.5 km in 2 hours. Calculate his speed. *
61.25 km/hr
.016 km/hr
65 km/hr
Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10
Answer:
483/798-5458+7429=19035674846 :))
Step-by-step explanation:
Round 76.28 to the nearest whole number
Answer:
76
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
.28 is less than .50 therfore it will be rounded down to 76
During a sale, a store offered a 20% discount on a camera that originally sold for $650. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:
$624
Step-by-step explanation:
650 * .80 = 520
520 * 1.20 = 624
g(x)=(x-1)^3-1 find the inverse of this function
Answer:
G^−1(x)=3√x+1+1
Step-by-step explanation:
Answer:
[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1
Step-by-step explanation:
To find the inverse, swap x and y.
g(x)=(x-1)^3-1
-> x=(y-1)^3-1
Solve the equation in terms of y.
x=(y-1)^3-1
x+1=(y-1)^3
[tex]\sqrt[3]{x+1}[/tex]=y-1
[tex]\sqrt[3]{x+1}[/tex]+1=y