There was a decrease of 20% in membership from October to November.
Step-by-step explanation:
Step 1; To find the percent by which the running clubs membership decreased we must find the difference between the number of members in October and the number of members in November. The number of members in the club in October was 25 whereas it reduced to 20 in the month of November.
Difference in members = Number of members in October -Number of members in November = 25 - 20 = 5
Step 2; To find the percent decrease in number of members in the running club, we divide the difference in number of members by the number of members in November . We multiply this value by 100 to get it in terms of percentage.
Percent decrease in number of members =(Difference in members / number of members in November) *100
= (5/25) * 100 = 0.20 * 100 = 20%
So number of members in the club decreased by 20% from October to November.
What is the range of the equation ?
Option D:
all real numbers
Solution:
Definition of domain:
The domain of the function is the set of all possible
x-values (independent variable).
Definition of range:
The range of a function is the set of all possible resulting values
of y-values (dependent variable).
i.e The range of a function is the resulting y-values we get after substituting all the possible x-values.
Given function: [tex]y=\log_8x[/tex]
Domain of y: (0, ∞) (or) {x | x > 0}
Range of y: (–∞, ∞) (or) {y | y > R}
i.e all real numbers
Option D is the correct answer.
Hence the range of y is all real numbers.
The sale price of a sweater is $48. The price is 20% less than the original price. What was the original price.
The original price of the sweater, before a 20% discount, was found to be $60. This was calculated by dividing the sale price of $48 by 0.80, as the sale price represents 80% of the original price.
Explanation:The student is asking how to find the original price of a sweater given that the sale price is $48 and this sale price represents a 20% discount from the original price.
To find the original price, we need to understand that the sale price is 80% of the original price (100% - 20% discount). Let's denote the original price as P. We can set up the equation P * 0.80 = $48. Solving for P, we get P = $48 / 0.80
The calculation will give us the original price which is $60. The original price of the sweater was $60 before the 20% discount was applied.
Final answer:
The original price of the sweater was $60.
Explanation:
Let x be the original price of the sweater.
According to the given information, the sale price of the sweater is $48, which is 20% less than the original price.
So, we can set up the equation as follows-
Original Price - Discount = Sales Price
x - 0.2x = $48
Simplifying:
0.8x = $48
Dividing both sides by 0.8, we get:
x = $60
Therefore, the original price of the sweater was $60.
The school that Julia goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 5 adult tickets and 13 child tickets for a total of $159. The school
took in $51 on the second day by selling 1 adult ticket and 5 child tickets. What is the price each
of one adult ticket and one child ticket?!
We have a system of equations in two variables, namely, a and c. Use the substitution to find a and c.
Answer:
The price of 1 adult ticket is $11, while the price of one child ticket is $8.
Step-by-step explanation:
Let's identify what we already know:
1) On the first day of ticket sales, the school sold $159 worth of tickets.
2) On the first day, they sold 5 adults tickets, and 13 adult tickets.
3) The school sold $51 worth of tickets on the second day.
4) The school sold 1 adult ticket, and 5 child tickets.
Let's create two formulas:
(5 times x) + (13 times y) = $159
(1 times x) + (5 times y) = $51
Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...
The 20th term is -106
15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60
-60 + -46
-106
You're just subtracting by 6.
Answer:
-99
Step-by-step explanation:
you subtract by 6 every number.....
-3-6=-9
-9-6=-15
so on and so on until you get to the 20th term.....
Widget Wonders produces widgets. They
have found that the cost, o(x), of making x
widgets is a quadratic function in terms of x.
The company also discovered that it costs
$20.50 to produce 3 widgets. $60.50 to
produce 7 widgets, and $133 to produce 12
widgets.
What is the total cost of producing nine widgets
start time 1:20 pm end time 2:00pm elapsed time
Answer:
40 minutes
Step-by-step explanation:
Elapsed time = end time - start time
Elapsed time = 2:00 - 1: 20
Elapsed time = 40 minutes
The Indian Ocean is 2/10 of the area of the world’s oceans. What fraction represents the area of the remaining oceans that make up the world’s ocean? Wrote in simplest form
Answer I believe it would just be 8/10
Step-by-step explanation:
You have 2/10 of the worlds ocean which = Indian Ocean
So Your remaining ocean (10-2 = 8)
Also known as 8/10
The remaining oceans make up 4/5 of the world's oceans after subtracting the 1/5 that represents the Indian Ocean.
If the Indian Ocean covers 2/10 (or 1/5 when simplified) of the world's oceans, then the fraction representing the remaining oceans is found by subtracting this fraction from the whole (1, as the whole represents all of the world's oceans).
So, the calculation to find the fraction of the area of the remaining oceans would be:
1 - 2/10 = 1 - 1/5 = 5/5 - 1/5 = 4/5
Therefore, the remaining oceans make up 4/5 of the area of the world's oceans.
20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability that the first is a Man's card and the Second, A woman's card?
5/19
14/19
1/4
9/10
Answer:
First choice:
[tex]\large\boxed{\large\boxed{5/19}}[/tex]
Explanation:
The probability that the first is a man's card and the second, a woman's card is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
1. Probability that the first is a man's card
Number of cards in the hat = 20 (the 20 business card)Number of man's card in the hat: 10Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.2. Probability that the second is a woman's card
Number of cards in the hat = 19 (there is one less card in the hat)Number of wonan's card in the hat: 10Probability = favorable oucomes / possible outcomes = 10/19.3. Probability that the first is a man's card and the second, a woman's card
(1/2) × (10/19) = 5/19That is the first choice.
Answer:
5/19
Step-by-step explanation:
I know this isn't as good as the other persons answer but I wanted to reassure you that it was correct and my proof is that I took a test on this and got it right with this answer. I hope I helped! :>
Shawn's father gave him $168. Shawn bought 10 books, each of which cost $10. How much money does Shawn have left?
will make brainliest
Answer:
68$
Step-by-step explanation:
cost of 10 book= 10$ * 10= 100$
now,
Remaining money= 168$-100$
=68$
Answer:
$68
Step-by-step explanation:
If each of the 10 books costs $10, you must multiply $10 x 10 to get $100. Then, you do $168 - $100 and get $68.
Write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution. Solve your equation to show that the solution are the same.
Answer:
[tex]x = \frac{3}{5} \times \frac{5}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]
Step-by-step explanation:
We have to write a multiplication equation and a subtraction equation that both involve a fraction and have the same solution.
Let the multiplication equation be, [tex]x = \frac{3}{5} \times \frac{5}{7}[/tex].
And the subtraction equation is, [tex]y = \frac{16}{21} - \frac{1}{3}[/tex]
Now, [tex]x = \frac{3}{5} \times \frac{5}{7} = \frac{3}{7}[/tex] and [tex]y = \frac{16}{21} - \frac{1}{3} = \frac{16 - 7}{21} = \frac{9}{21} = \frac{3}{7}[/tex]
Therefore, in both the equations the solution is [tex]\frac{3}{7}[/tex]. (Answer)
Final answer:
Both a multiplication equation (½ * 2 = 1) and a subtraction equation (1 - ½ = ½) can be constructed to have the same solution, where the multiplication involves doubling the fraction and the subtraction involves a whole number minus the fraction.
Explanation:
Creating a multiplication equation and a subtraction equation with the same solution involves finding a common value that the operations can share. Here's a simple example:
Let's say we have the fraction ½. If we want a multiplication equation, we could multiply this fraction by 2 to get 1 (since ½ * 2 = 1).
Multiplication equation: ½ * x = 1, where x = 2.
For the subtraction equation, we consider the fact that subtracting 0 from any number leaves it unchanged. We can use this to our advantage by creating an equation where we subtract a fraction from itself:
Subtraction equation: y - ½ = ½, where y = 1.
By solving these equations, we can see they have the same solution:
½ * 2 = 11 - ½ = ½Both equations simplify to the same value, demonstrating that multiplication and subtraction can indeed share the same result when formulated correctly.
Help help help help
Answer:
b=[tex]\frac{t-5}{4}[/tex]Step-by-step explanation:
4b+5=t
First, you must get the variable alone! Substract 5 from both sides!
4b+5=t
-5 -5
The 5 cancels out because 5-5=0
The new equation is 4b=t-5
You must divide by 4 to get the variable alone since your solving for b!
4b=t-5
4 4
b= [tex]\frac{t-5}{4} \\[/tex]
This is your answer!
In a class room of 30 students, 18 are female and 12 are male. If you randomly select one person, what is the probability you will select a female
Evaluate the expression when x=3 and y= -2
Answer:
-11
Step-by-step explanation:
To evaluate an expression with variables, replace the variables with what the question tells you to.
Replace "x" with 3. Replace "y" with -2.
-x + 4y
= -(3) + 4(-2) Multiply 4 and -2 first to get -8
= (-3) + (-8) Add normally. -3 + (-8) is the same as (-3) - 8.
= -11 Answer
Therefore the solution is -11.
Please Help !
TRYING TO MAKE HONOR ROLL
Which point represents the solution to the system of equations below ?
Answer:
I think its c. but i could be wrong
if ABCD is a rombus with side length 15 mm and if BD=24 mm, then find the length of the other diagonal, AC. Draw a diagram and show work.
Answer:
AC = 18 mm
Step-by-step explanation:
See the attachment for a diagram.
Since length BD = 24 mm, length BO = 12 mm. Then ΔBOC is a right triangle with one leg 12 and hypotenuse 15. The other leg (OC) is given by the Pythagorean theorem:
OC² +OB² = BC²
OC = √(BC² -OB²) = √(225 -144) = √81
OC = 9
Diagonal AC is twice the length of OC, so is ...
AC = 2·9 = 18 . . . . mm
_____
It can save a little time if you recognize that the given sides of triangle BOC have the ratio 4:5. This suggests you're dealing with a 3:4:5 right triangle, and that side OC is (3/5)·(15 mm) = 9 mm.
Is 0,3 a solution to 2x-y=-3
Answer:
Yes, (x, y) = (0, 3) is a solution
Step-by-step explanation:
You can determine whether a given ordered pair is a solution by substituting those values into the equation, then checking to see if the resulting statement is true.
For x=0 and y=3, the equation becomes ...
2·0 -3 = -3 . . . . . a true statement
(0, 3) is a solution to the equation
Suppose a population has a doubling time of 25 years. By what factor will it grow in 25 years? 50 years? In 100 years?
A population with a doubling time of 25 years will grow by a factor of 2 in 25 years, by a factor of 4 in 50 years, and by a factor of 16 in 100 years, based on the exponential growth rule.
Explanation:If a population has a doubling time of 25 years, by what factor will it grow in various timeframes? Let's calculate this using the rule of exponential growth.
In 25 years, the factor by which the population will grow is 2, because the definition of doubling time implies that the population doubles every 25 years.
In 50 years, which is two doubling periods, the population will grow by a factor of 2^2 (2 raised to the power of 2), which is 4.
In 100 years, which is four doubling periods, the population growth factor will be 2^4 (2 raised to the power of 4), which equals 16.
Thus:
After 25 years, growth factor = 2After 50 years, growth factor = 4After 100 years, growth factor = 16Kendra is three times her daughter's age plus seven years Kendra is 49 years old write an equation to find her daughter's age
Answer: [tex]49 = 3x + 7[/tex]
Step-by-step explanation:
Let the daughter's age be x and Kendra's age be y , then from the first statement;
[tex]y = 3x + 7[/tex]
Since Kendra's age is 49 , substitute it into the equation , we have
[tex]49 = 3x + 7[/tex]
subtract t from both sides
[tex]49 - 7 = 3x[/tex]
[tex]42 = 3x[/tex]
divide through by 3
[tex]x = 14[/tex]
Therefore : the daughter's age is 14
Answer:
3x+7=49
Step-by-step explanation:
The first mechanic charged $95 per hours, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2,000. How long did each mechanic work?
Answer:
Step-by-step explanation:
Let a represent the hours put in my mechanic 1 and b represent that of mechanic 2.
a + b = 25, i.e. a = 25 - b
95a + 70b = 2000
Let's substitute the value of a in the second equation
95(25 - b) + 70b = 2000
2375 - 95b + 70b = 2000
2375 - 25b = 2000
-25b = 2000 - 2375
-25b = -375
b = 375/25
b = 15hrs
If b = 15hrs,
a + 15 = 25
a = 10hrs
7x + 2(6x + 9) = 170
Answer:
x = 8
Step-by-step explanation:
7x + 2(6x + 9) = 170
2(6x + 9) = 12x + 18
7x + 12x + 18 = 170
19x = 152
152/19 = 8
x = 8
The lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ are parallel. If $\angle BAE=54^{\circ}$ and $\angle DCE=25^{\circ}$, what is the measure of $\angle AEC$?
Use an asymptote convertor if needed:
[asy]
size( 200 ) ;
pair A = (0,0) ;
pair B = (0,2) ;
pair C = (3,0.5) ;
pair D = (3,2.5) ;
pair ptE = extension( A , A+dir(90-54) , C , C+dir(90+25) ) ;
draw( (0,-0.5)--(0,3) , linewidth(1.3) ) ;
draw( (3,-0.5)--(3,3) , linewidth(1.3) ) ;
draw( A--ptE--C ) ;
dot(Label( "$A$" , A , W )) ;
dot(Label( "$B$" , B , W )) ;
dot(Label( "$C$" , C , E )) ;
dot(Label( "$D$" , D , E )) ;
dot(Label( "$E$" , ptE , N )) ;
label( "$54^{\circ}$" , A , 5dir(70) ) ;
label( "$25^{\circ}$" , C , 8dir(100) ) ;
[/asy]
Answer:
79°
Step-by-step explanation:
Label the intersection of AE and CD point F. Then angle CFE is an alternate interior angle with angle BAE, so is congruent. The angle of interest is an exterior angle to triangle CFE, so is the sum of remote interior angles CFE (54°) and DCE (25°). That sum is ...
m∠AEC = 54° +25° = 79°
Based on the definition of alternate interior angles, the measure of ∠AEC is: 79°
What are Alternate Interior Angles?Interior angles that are alternating each other on a transversal are congruent, and are called alternate interior angles.
Thus:
m∠AEC = m∠BAE + m∠FCE
Substitute
m∠AEC = 54° + 25°
m∠AEC = 79°
Therefore, based on the definition of alternate interior angles, the measure of ∠AEC is: 79°
Learn more about alternate interior angles on:
https://brainly.com/question/20344743
1/2 = 1/3 − |x−3/6 +x|
Answer:
No solution exist!
Step-by-step explanation:
Answer:
It is impossible to have an arithmetic answer. No Solutions, or ø
sixteen and two-tenth subtracted from two times a number
Step-by-step explanation:
Let the required number = x
To find, the required number = ?
According to question,
∴ 2x - 16 - 2 × 10 = 0
⇒ 2x - 16 - 20 = 0
⇒ 2x - 36 = 0
⇒ 2x = 36
⇒ x = 18
∴ The required number = 18
Thus, the required number is 18.
Answer: x=18
Explanation:
Find two consecutive even integers such that the sun of the larger and twice the smaller is 62.
Answer:
20 and 22.
Step-by-step explanation:
Let the consecutive integers be a and b
Then b = a + 2
a is the smaller integer.
[tex]\begin{array}{rcl}2a + b & = & 62\\2a + a + 2& = & 62\\3a + 2 & = & 62\\3a & = & 60\\a & = & \dfrac{60}{3}\\\\& = & \mathbf{20}\\\end{array}[/tex]
a = 20
b = 20 + 2 = 22
The two integers, in ascending order, are 20 and 22.
Check:
2(20) + 22 = 62
40 + 22 = 62
62 = 62
OK.
what is 1% of 12.54?
Answer:
0.1254
Step-by-step explanation:
(Divide by 100 to get 1%)
Answer:
Step-by-step explanation:
0.1254
If 2y + 6 = 1 −3y, then y = −−−−−−
Answer:
y = -1
Step-by-step explanation:
Add 3y to both sides:
2y + 3y + 6 = 1 - 3y + 3y
Simplify:
5y + 6 = 1
Subtract 6 from both sides to isolate the y value:
5y + 6 - 6 = 1 - 6
Simplify:
5y = -5
Divide by 5 on both sides to solve:
5y/5 = -5/5
Simplify:
y = -1
You invested into a content management company that specializes in peer to peer networks four years ago with a stock value
of $56.30 a share. Today, a single share of the company is worth $32.21. Given this information, determine the decay factor
for the four year period and round your answer to the hundredth place.
a 57.0
C. 570
b. 0.57
d. 1.57
Answer:
0.57
Step-by-step explanation:
56.30 divided by 1.57=32.21
Find a pair of numbers that is a member of both y=-3x-27 and y=5+x
Answer:
(x, y) = (-8, -3)
Step-by-step explanation:
If all you want is a quick solution, I find a graphing calculator to be very handy. The one used in the attachment shows the solution to be (x, y) = (-8, -3).
_____
You can use one equation to substitute for y in the other equation:
-3x -27 = 5 +x
-32 = 4x . . . . . . add 3x-5 to both sides
-8 = x . . . . . . . . divide by 4
y = 5 +(-8) = -3 . . . . . use the second equation to find y
The pair of numbers that satisfies both equations is ...
(x, y) = (-8, -3)
18.
[Algebra - Expansion]
Expand 3(x + 2)
Answer:
Step-by-step explanation:
3(x + 2) = 3*x + 3*2
= 3x + 6
total area of the trapezoid
meters. What is the length of
2 The trapezoid below is made up of a square and a triangle. The total area of the
is 57.5 square meters. The area of the triangle is 32.5 square meters. What is the
a side of the square?
A 5 meters
B 25 meters
C 90 meters
D Not enough information is given.
Answer:
A 5 meters
Step-by-step explanation:
57.5 - 32.5 = 25
25 cubed is 5