To find the total number of students, set up a proportion and solve for x. The total number of students is 1640.
Explanation:To find the total number of students, we can set up a proportion using the information given. If three-fourths of the student body attended the pep-rally, that means three-fourths of the total number of students is equal to 1230. Let's let x represent the total number of students. Then, we can write the proportion as:
3/4 = 1230/x
Now, to solve for x, we can cross multiply:
3x = 4 x 1230
Dividing both sides by 3:
x = 4 x 1230 / 3
Calculating the expression on the right side of the equation:
x = 4920 / 3
Finally, divide 4920 by 3 to get:
x = 1640
So, there are 1640 students in total.
Learn more about proportion here:https://brainly.com/question/32430980
#SPJ2
josianne had two difference offers (1) 12000 cash and (2) 8000 semiannually for 5 years. assuming 10% compounded semiannualy determine the better offer and find the difference between them
The formula for the nth term of an arithmetic sequence can be found using the formula a(n)=a (1)+(n-1)d. Which of the following is equivalent to this equation?
a. n=a(n)
b. n=a(n)+a(1)-d/d
c. n=a(n)-a(1)
d. n=a(n)-a(1)+d/d
Answer:
D.
Step-by-step explanation:
:)
PLZ HELP NEED ANSWER ASAP! A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low represents the fewest points scored and High represents the highest points scored by a single team member. Team Low High Range Mean Median IQR σ Team A 22 58 36 42.1 44 18.25 10.35 Team B 38 49 11 43.9 44.5 3.5 2.97 Team C 27 36 9 31.8 32 3.75 2.55 Part A: If the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? Justify your answer mathematically. (5 points) Part B: If the club wants to award the team with the highest average score, which team should it choose and why? Justify your answer mathematically. (5 points)
Shamus can paint the barn in 6 hours, and ishmael can paint the barn in 7 hours. how long will it take them to paint the barn together?
Will give brainliest!
What is the x-coordinate at the point of intersection of y1= 2(5x + 3) and y2= x2 − 15? Consider only the positive value of x, and round the value to nearest hundredth.
Solution
The equation of two curves are
[tex]y_{1}=y=2 \times (5 x+3)\\\\y_{2}=y=x^2-15[/tex]
Equating the two curves that is y values, to find their point of Intersection
→ 2 × (5 x+3)=x²-15
→10 x +6=x²-15⇒⇒Used distributive property of multiplication with respect to addition
→x² -10 x -15 -6=0
→x² -10 x-21=0
For a Quadratic equation of the type
[tex]\rightarrow ax^2+b x +c=0\\\\x=\frac{-b \pm \sqrt{D}}{2 a}\\\\D=b^2-4ac[/tex]
Using discriminant method to solve the problem
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4 \times 1 \times (-21)}}{2 \times 1}\\\\x=\frac{10 \pm \sqrt{100+84}}{2}\\\\x=\frac{10 \pm \sqrt{184}}{2}\\\\x=5 \pm \sqrt{46}\\\\x_{1}=5+6.78\\\\x_{1}=11.78\\\\x_{2}=5-6.78\\\\x_{2}=-1.78[/tex]
The x coordinate of point of intersection are, 11.78 and -1.78.
"if the price of mints was raised from 5 cents each to 15 cents for two, what was the increase in price per mint?"
Answer:
Increase in price per mint is 2.5 cents .
Step-by-step explanation:
The price of mints is raised from 5 cents each to 15 cents for two.15 cents is the rice in price for two mints .Hence rise in price for each mint is 15÷2=7.2 cents.
Rise in price for each mint = 7.2-5=2.5cents.
Percent increase = [tex]\frac{2.5}{5} (100)=50[/tex]
There is 50% increase in price per mint.
Manuel and rita bought cds at the music store. rita's cds originally cost three times more than manuel's cds, but she received a $9 discount. if rita spent $21 total, which equation can be used to find the amount manuel spent
Answer with Step-by-step explanation:
Let cost of Manuel's cds=m
Rita's cds originally cost three times more than Manuel's cds, but she received a $9 discount.
i.e. Rita's cds cost=3m-9
Rita spent $21 total.
i.e. 3m-9=21
Adding 9 on both sides, we get
3m=30
Dividing both sides by 3, we get
m=10
Hence, equation which can be used to find the amount Manuel spent is:
3m-9=21
Explain 2 other ways other than rotating 180 degrees counterclockwise or clockwise, that would allow the point to find it’s way to the same place from its original position. Hint: You may combine transformations.
The Hamilton Brush Company issued 2500 shares of common stock worth 100,000,000 total.What is the par value of each share
A geometric sequence has a common ratio of 2/9 and the first term is 729 what is the 8th term?
The graph represents a person's heart rate in beats per minute during 30 minutes of exercise.
Which statement best describes the relationship between heart rate and time doing exercise?
Looking at the graph closely we can see that the heart rate increases from 0 to 6 min then became steady from 6 to 25 min then finally decreases from 25 to 30 min. Therefore the correct answer is:
“The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.”
In real life cardiac exercises, we can interpret that the period from 0 to 6 min is the period where the person is still warming up thus leading to an increase in heart rate. At 6 min, the person is fully warmed up hence reaching a stable heart rate. Then at 25 min, the person starts cooling down which means that the exercise is ending soon.
Lukas graphed the system of equations shown. 2x + 3y = 2 y = x + 3 What is the solution to the system of equations? (–2, 2) (0, 0.67) (0, 3) (1, 0)
The solution to the given system of linear equations is (-1.4, 1.6).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are 2x+3y=2 -----(i) and y=x+3 -----(ii)
Substitute, equation (ii) in equation (i), we get
2x+3(x+3)=2
2x+3x+9=2
5x=-7
x=-7/5
x=-1.4
Substitute x=-1.4 in equation (ii), we get
2(-1.4)+3y=2
-2.8+3y=2
3y=2+2.8
3y=4.8/3
y=1.6
So, the solution is (-1.4, 1.6)
Therefore, the solution to the given system of linear equations is (-1.4, 1.6).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ7
Can some one please help me with this question answer What is 40%of 320
Which Act protects consumers against inaccurate and unfair practices from credit card companies and lenders? The ______ in Lending Act protects consumers against inaccurate and unfair practices from credit card companies and lenders.
Answer:
Truth
Step-by-step explanation:
A system of two equations is shown below: equation
c.a = 3b + 6 equation
d.a = 7b − 1 what value of a can be substituted into equation d to solve the system of equations? 3b 7b 3b + 6 7b − 1
How do I simplify this?
What does exclamation point mean in math?
In mathematics, an exclamation point represents a factorial, meaning the product of an integer and all the positive integers below it. For example, 5 factorial, or 5!, is 5 x 4 x 3 x 2 x 1 = 120. Unlike exponentials, factorials involve consecutive multiplication of integers.
Explanation:In mathematics, the exclamation point is used to represent a factorial. Factorial indicates the product of an integer and all the positive integers below it. For instance, 5! would be 5 x 4 x 3 x 2 x 1 = 120. This calculation method is a significant concept especially in exponential arithmetic.
Contrary to exponential notation, factorials do not deal with the concept of powers or repeated multiplication of the same number. Instead, they focus on consecutive multiplication of descending positive integers. For example, 3! is evaluated as 3 x 2 x 1 = 6, instead of 3 x 3.
Learn more about exclamation point in mathematics here:https://brainly.com/question/423179
#SPJ12
What is 5.75% of $6,000? (Express answer as dollars as cents.)
Answer:
The answers are:
345 dollars
34500 cents
Step-by-step explanation:
In order to determine the answers, we have to know about the percentage notation. For any "x" value that is expressed as x%, it is the same that:
x%=[tex]\frac{x}{100}[/tex]
So, first we determine the value in dollars and then we determine the value in cents, where:
1 dollar=100 cents
In dollars $:
=5.75%*$6000
=[tex]\frac{5.75}{100}[/tex]*$6000
=$345.00
In cents c:
=5.75%*6000*100
=[tex]\frac{5.75}{100}[/tex]*6000*100
=34500.00 cents
How to factor:
x^3-216=0
Conjectures and Postulates are accepted as true without formally proving they are true.
True or False
Answer:
False; only true for postulates!!!
Step-by-step explanation:
On BYU :)
LeRon draws an orange counter from one bag and a red counter from another bag. Which statement is true?
PLEASE HELP NEED ASAP! 10 PTS!
Solve each system by elimination.
1. -9x+2y= -1.
18x-7y=17
2. 4x+18y= -28
2x+9y= -14
3. 20x+y= -11
-10x-3y= -17
4. -3x+y=7
-6x+2y=12
Thank you!
The table shows the outputs y for different inputs x:
Input
(x) 2 4 6 8
Output
(y) 1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 3x – 10. Which relation has a greater value when x = 8?
Part C: Using the relation in Part B, what is the value of x if f(x) = 80?
the price of a television decreased from 1000.00 to 800.00.what is the percent of decrease.
Answer:
The decrease is 20%
Step-by-step explanation:
True or False? The distribution whose five-number summary is shown below has at least one outlier. 21.7, 55.3, 73.4, 89.3, 142.2 A. True B. False
Answer:
True
Step-by-step explanation:
Apex approved
Answer:
this answer is true
Step-by-step explanation:
i say this because 142.2 is an outlier.
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a.
What is the area of the pool cover?
b.
What is the length of the rope?
Answer:
Given the data, the pool has a diameter of 20 feet, so, R=10ft.
The pool cover expands 12 inches beyond the pool, so, 12in.= 1 foot
Therefore, the radius of the pool cover will then be: 10+1= 11ft.
ANSWER A (pool cover)) r² π = 11² π = 121 π ft²
A.)= 121 π ft²
ANSWER B (rope)) l = 2 r π = 2 · 11 π = 22 π ft.
B.)= 22 π ft
Step-by-step explanation:
I got a 100% on it on founders edtell
Use the functions f(x) = 2x + 7 and g(x) = 6x − 5 to complete the function operations listed below.
Part A: Find (f + g)(x). Show your work. (3 points)
Part B: Find (f ⋅ g)(x). Show your work. (3 points)
Part C: Find f[g(x)]. Show your work. (4 points)
We are given the two functions:
f(x) = 2x + 7
g(x) = 6x – 5
Part A. Find (f + g)(x)
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 2 x + 7 + 6 x – 5
(f + g)(x) = 8 x + 2
Part B. Find (f ⋅ g)(x)
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f ⋅ g)(x) = (2 x + 7) (6 x – 5)
(f ⋅ g)(x) = 12 x^2 – 10 x + 42 x – 35
(f ⋅ g)(x) = 12 x^2 + 32 x – 35
Part C. Find f[g(x)]
f[g(x)] = 2 (6 x – 5) + 7
f[g(x)] = 12 x – 10 + 7
f[g(x)] = 12 x - 3
how do you write 710,000 in scientific notation with answers
The scientific notation for 710,000 is [tex]7.1 \times 10^5[/tex].
Identify the significant digits:
In 710,000, the significant digits are “7.1”.
Determine the power of 10:
To convert 710,000 into a number between 1 and 10 times a power of 10, you notice that moving the decimal point 5 places to the left gives “7.1”.
This is because:
[tex]710,000 = 7.1 \times 100,000 = 7.1 \times 10^5[/tex]
Write the number in scientific notation:
Combine the significant digits with the power of 10.
[tex]7.1 \times 10^5[/tex].
a ratio is a rate, sometimes,never, or always?
Identify the standard form of the equation by completing the square