Helppppp pleaseee
Write a linear equation in slope-intercept form that satisfies the given set of conditions.
slope of –2, passes through (6, –7).
Answers
==============================================
Explanation:
We can use point slope form to get this answer
y - y1 = m(x - x1)
y - y1 = -2(x - x1) ... plug in the given slope m = -2
y - (-7) = -2(x - 6) .... plug in the given point (x1,y1) = (6,-7)
y + 7 = -2(x - 6)
y + 7 = -2x + 12
y = -2x+12-7 ... subtract 7 from both sides
y = -2x+5
This is in y = mx+b form with m = -2 as the slope and b = 5 as the y intercept.
-----------------
Alternative Method:
y = mx+b
y = -2x+b ... plug in m = -2
-7 = -2(6)+b ... plug in the given point
-7 = -12+b
-7+12 = b
5 = b
b = 5
With m = -2 and b = 5, we go from y = mx+b to y = -2x+5
The equation of the line in slope intercept form is y = -2x+5
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that a linear equation in slope-intercept form satisfies the given set of conditions. The slope of –2, passes through (6, –7).
We can use the point-slope form to get this answer.
y - y1 = m(x - x1)
y - y1 = -2(x - x1) plug in the given slope m = -2
y - (-7) = -2(x - 6) plug in the given point (x1,y1) = (6,-7)
y + 7 = -2(x - 6)
y + 7 = -2x + 12
y = -2x+12-7 subtract 7 from both sides
y = -2x+5
This is in y = mx+b form with m = -2 as the slope and b = 5 as the y-intercept.
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Related Questions
Mark has invested in Evu Confectioners. He owns 220 shares of stock in Evu Confectioners, with each share costing him $14. 79 apiece but paying a yearly dividend of $2. 3. Mark also owns three par value $500 bonds from Evu Confectioners, each of which had a market value of 93. 630 and which pay 8. 8% interest. If Mark’s broker charges a commission of $55 per ten shares of stock bought or sold and a commission of 3% of the market value of each bond bought or sold, which aspect of Mark’s investment in Evu Confectioners has the greater percent yield, and how much greater is it? a. The stocks have a yield 4. 33 percentage points greater than that of the bonds. B. The stocks have a yield 0. 88 percentage points greater than that of the bonds. C. The bonds have a yield 0. 32 percentage points greater than that of the stocks. D. The bonds have a yield 3. 68 percentage points greater than that of the stocks. Please select the best answer from the choices provided A B C D.
Answers
the bonds have a higher percentage yield compared to the stocks by 3.68 percentage points.
To calculate the yield for the stocks, we need to determine the dividend yield. The dividend yield is the annual dividend divided by the cost per share. In this case, the annual dividend is $2.3, and the cost per share is $14.79. Thus, the dividend yield for the stocks is 2.3/14.79 ≈ 0.1554, or 15.54%.
For the bonds, we need to calculate the yield to maturity. The yield to maturity takes into account the interest payments and the bond's market value. The interest payment for each bond is 8.8% of $500, which is $44. The market value of each bond is $93.63. Using these values, we can calculate the yield to maturity for the bonds.
Now, let's calculate the yield to maturity for the bonds. We know that the interest payment per bond is $44, and the market value per bond is $93.63. So, the yield to maturity for each bond is (44/93.63) × 100 ≈ 47.00%.
Comparing the yield for the stocks (15.54%) and the yield to maturity for the bonds (47.00%), we find that the bonds have a yield that is 47.00 - 15.54 = 31.46 percentage points greater than that of the stocks.
Therefore, the bonds have a yield 3.68 percentage points greater than that of the stocks (31.46 divided by 8.54). Hence, the correct answer is D.
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Find the difference quotient of f; that is, find f(x+h)−f(x)/h ,h is not equal to 0, for the following function. Be sure to simplify. f(x)=x^2−6x+5
Answers
The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.
To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate
(f(x + h) - f(x)) / h, where h is not equal to 0.
First, let's find f(x + h):
\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)
\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)
\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)
Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:
\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)
= (2hx - 6h + h^2) / h
= 2x - 6 + h
Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.
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if laura cuts 6 pounds of chocolate. into blocks that each weigh 1/5 of a pound how many blocks of chocolate will she make
Answers
If Laura has 6 pounds of chocolate, and she cuts them all into blocks that each weigh 1/5 of a pound, then the total number of blocks of chocolate would be;
\(\begin{gathered} \text{Total}=6\text{pounds} \\ \text{Total}=\frac{6}{1}\text{ / }\frac{1}{5} \\ \text{Total}=\frac{6}{1}\times\frac{5}{1} \\ \text{Total}=30\text{ blocks} \end{gathered}\)Note that the chocolates have been cut in such a way that each weighs 1/5 of a pound, which means, each pound has been cut into 5 equal parts. Therefore, the total of 6 pounds of chocolate would yield 6 times 5 which equals 30 blocks of chocolate.
Can someone help ASAP? I will give lots of points
Three-part question:
Answers
A: The height of the street sign is obtained by indirect measurement method as 15 feet.
B: The two proportions Betsy can use is 5/1.5 = x/4.5 and 5/.x = 1.5/4.5
C: Using both the proportions height of the street sign is obtained as 15 feet.
What is indirect measurement?
A mathematical technique called as an indirect measurement is used to discover unknown measures of items that are challenging to measure. A direct measurement is something that can easily be measured, like a toddler's height.
The height of Betsy is h = 5 feet.
The shadow of Betsy is h' = 1.5 feet.
The height of the street sign is H = x feet.
The height of the shadow of street sign is H' = 4.5 feet.
The two proportions are -
h/h' = H/H' and h/H = h'/H'
These two can be used to find the measurement of the street sign.
To find the height of the street sign use the method of indirect measurement -
h/h' = H/H' h/H = h'/H'
Substitute the values in the given equation -
5/1.5 = x/4.5 5/x = 1.5/4.5
1.5 × x = 5 × 4.5 5 × 4.5 = 1.5 × x
1.5x = 22.5 22.5 = 1.5x
Simplify the equation further -
x = 22.5/1.5 x = 22.5/1.5
x = 15 x = 15
Therefore, the value of the x is obtained as 15 feet.
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Ella's family took a road trip to Niagara Falls. Ella slept through the last 14% of the trip. If Ella fell asleep after they had travelled 602 miles, what was the total length of the trip?
Answers
The total distance of the trip Ella's family took is 700 miles.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Ella slept through the last 14% of the trip.
So, Before Ella fell to asleep they covered (100 - 14)% = 86% of the trip.
Let The total distance be 'x'.
Therefore, 602 miles is 86% of 'x' which can be numerically expressed as,
(86/100)×x = 602.
0.86x = 602.
x = 602/0.86.
x = 700 miles.
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2. Maria's employer of 19 years offers a pension plan that is the product of the three year average of her most current salaries, the number of years of service, and a 2% multiplier. Her last
three salaries are: $63,500, $65,000, and $66,500. What is her annual pension benefit?
$23,940
$24,700
$65,000
$247,000
Answers
the annual pension benefit is $247,000.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
Last three Salaries 63500, 65000, 66600 Now ง aug
63500+ 65000+66500/ 3 = 195000/3 = 65000
year = 1a, multiple or= 2.4
s= 21666.66*2*1/100 = 433.33
annual pension benefit IS $247,000
Hence the annual pension benefit is $247,000.
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A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 100cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
k = ? Newtons / meter
Formulate the initial value problem for y(t), where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction. (Give your answer in terms of y,y′,y′′,t.)
Differential equation: ?
Initial conditions: y(0) = ? and y′(0) = ?
Solve the initial value problem for y(t).
y(t) = ?
Plot the solution and determine the maximum excursion from equilibrium made by the object on the time interval 0 ≤ t < [infinity]. If there is no such maximum, enter NONE.
maximum excursion = ? meters
Answers
Using Hooke's law the maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.
To find the spring constant k, we use Hooke's law:
F = -ky
where F is the weight of the object, and y is the distance it is stretched from its rest position. At equilibrium, F = mg = 10 × 9.81 = 98.1 N. Thus,
98.1 = -k × 0.098
k = -1000 N/m
The equation of motion for the system is given by:
my'' + ky = F(t)
Substituting the given values, we get:
10y'' + (-1000)y = 100cos(8t)
y'' - 100y = 10cos(8t)
with initial conditions y(0) = 0 and y'(0) = 0.
The characteristic equation is r² - 100 = 0, with roots r = ±10i. The complementary solution is therefore y_c(t) = c1cos(10t) + c2sin(10t).
For the particular solution, we assume a form of yp(t) = Acos(8t) + Bsin(8t), and substitute it in the differential equation to get:
-64Acos(8t) - 64Bsin(8t) - 100(Acos(8t) + Bsin(8t)) = 10cos(8t)
Solving for A and B, we get A = -1/6 and B = 0. Thus, the particular solution is yp(t) = (-1/6) × cos(8t).
The general solution is therefore y(t) = c1cos(10t) + c2sin(10t) - (1/6)*cos(8t). Applying the initial conditions, we get c1 = 0 and c2 = 0, so the particular solution is simply y(t) = (-1/6) × cos(8t).
The maximum excursion from equilibrium can be found by taking the absolute value of y(t) and finding its maximum value. We have:
|y(t)| = (1/6) × |cos(8t)|
The maximum value of |cos(8t)| is 1, so the maximum excursion is 1/6 meters.
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Which statement best describes the area of the triangle shown below? A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units. (4 points) a It is one-half the area of a rectangle of length 4 units and width 2 units. b It is one-half the area of a square of side length 4 units. c It is twice the area of a rectangle of length 4 units and width 2 units. d It is twice the area of a square of side length 4 units.
Answers
The statement that best describes the area of the triangle is:
It is one-half the area of a square of side length 4 units.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle:
The base is 4 units, and the height is 4 units.
Area of the triangle.
= 1/2 x base x height
= 1/2 x 4 x 4
= 8 units²
Now,
a)
It is one-half the area of a rectangle of length 4 units and width 2 units.
This is not possible since we do not have 2 units.
b)
It is one-half the area of a square of side length 4 units.
Area of a square.
= Side²
= 4²
= 16 units²
So,
1/2x 16 = 8 units²
This is true.
c)
It is twice the area of a rectangle of length 4 units and width 2 units.
This is not possible since we do not have 2 units.
d)
It is twice the area of a square of the side length of 4 units.
This is not possible.
Thus,
It is one-half the area of a square of side length 4 units.
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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start.
Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that water has been added. Write an equation relating W to T, and then graph your equation using the axes below.
Answers
The equation that best represent the situation relating W to T would be; W = 700 + 35T
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We have been given that water is added in the pond at a rate of 35 liters per minute and there are total 700 liters in the pond to start.
Let W represent the amount of water in the pond (in liters) and T to be the the number of minutes that water has been added.
The equation that best represent the situation will be;
W = 700 + 35T
Hence, the graph of the equation is a line with slope of 35 and y-intercept of 700 .
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the volume of a rectangular pyramid is 512 units 3 3 . if the length of the rectangular base measures 8 units and the width of the rectangular base measures 12 units, find the height of the pyramid.
Answers
The height of the rectangular pyramid is 16 units.
To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * base area * height
Given that the volume of the rectangular pyramid is 512 units^3, and the length of the rectangular base is 8 units and the width is 12 units, we can find the base area:
Base Area = length * width = 8 * 12 = 96 units^2
Now we can substitute the values into the volume formula:
512 = (1/3) * 96 * height
To solve for the height, we can isolate it by multiplying both sides of the equation by 3/96:
512 * 3/96 = height
Simplifying the right side of the equation:
16 = height
The rectangular pyramid is 16 units tall as a result.
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what is the simplest form of square root of -500?
Answers
Answer:
8–√4⋅2−−−√ 4–√2–√ 22–√
8–√≈2.8284271247461903
Step-by-step explanation: im lazy ;/
What is f(5) for the function f(x)=7x+4?
F(5)=?
Please help
Answers
Answer:
39
Step-by-step explanation:
Determine the period
Answers
Answer:
16 units
Step-by-step explanation:
period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.
in this graph its the peaks are 1 and 17, hence the period is 16
Evaluate expression if r=3, q=1 , and w=-2 .
5w / 3r+q
Answers
The value of the expression 5w / 3r + q is -1. We are given that r = 3, q = 1, and w = -2. We are asked to evaluate the expression 5w / 3r + q.
5w / 3r + q = 5(-2) / 3(3) + 1= -10 / 9 + 1= -10/9 + 9/9= -1/9= -1Therefore, the value of the expression is -1.
The steps involved in evaluating the expression:
First, we substitute the values of r, q, and w into the expression.Then, we simplify the expression by performing the arithmetic operations in the order of operations.Finally, we arrive at the answer, which is -1.It is important to note that the order of operations is important when evaluating expressions. In this case, we performed the arithmetic operations in the following order:
MultiplicationDivisionAdditionSubtractionIf we had performed the operations in a different order, we would have arrived at a different answer.
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an online company lets you download songs for 1$ each after you have payed a 5$ membership fee the maximum amount of songs you can download in a month is 100 how much do you pay
Answers
Answer:
$105
Step-by-step explanation:
5 + 1 (100)
5 + 100
105
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a
monthly fee and a charge for each minute of calling time. In June she used 350 minutes and the cost
was $177.00. In July she used 900 minutes and the cost was $397.00.
A) Express the monthly cost C as a function of x, the number of minutes of calling time she used.
Answer: c(x) = 4x +
syntax error.
B) If Jane used 622 minutes of calling time in August, how much was her bill?
Answer: $
Answers
350m + f = 177 (where m is the charge per minute and f is the fixed monthly fee)
900m + f = 397
Solving this system of equations, we get:
m = 0.4
f = 37
Therefore, the monthly cost C as a function of x is:
C(x) = 0.4x + 37
B) If Jane used 622 minutes of calling time in August, we can use the function C(x) to find her bill:
C(622) = 0.4(622) + 37 = $274.80
Therefore, her bill for August would be $274.80.
a population of values has a normal distribution with μ = 154.7 and σ = 89.2 . you intend to draw a random sample of size n = 131 . what is the mean of the distribution of sample means?
Answers
The mean of the distribution of sample means is equal to the population mean, which is μ = 154.7.
Since the population has a normal distribution with the same mean and standard deviation, the mean of the sample means is equal to the population mean. This means that the mean of the distribution of sample means is μ = 154.7.
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WILL GIVE BRAINLEST AND LOADS OF POINTS IF CORRECT!!! Please help me
Answers
Answer:
I think it is D.
Step-by-step explanation:
Good luck! :D
Select the correct answer. What are the solutions to this quadratic equation?
A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10
Answers
Answer:
Let's solve your equation
\(x^2+13=8x+37\)
Step 1: Subtract 8x+37 from both sides.
\(x^2+13-(8x+37)=8x+37-(8x+37)\)
\(x^2-8x-24=0\)
For this equation: a= 1, b= -8, c= -24
Step 2: Use quadratic formula with a=1, b=-8, c=-24.
\(x=\frac{-b+\sqrt{b^2-4ac} }{2a}\)
\(x=\frac{-(-8)+\sqrt{(-8)^2-4(1)(-24)} }{2(1)}\)
\(x=\frac{8+\sqrt{160} }{2}\)
\(x=4+2\sqrt{10}\) or \(x=4-2\sqrt{10}\) This is the answer
So,the correct option is C
I hope this help :)
f(x) = 5^x - 75, find f(-2)
Answers
The solution to f(-2) is - \(\frac{1874}{25}\) or 74.96
What is simplify?
In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form
Let simplify the equation by making f(x) the subject of the equation
f(x) = 5^x - 75, find f(-2)
Let f(-2) = -2
therefore, f(x) = -2
Substitute into f(x) = 5^x - 75
f(-2) = \(5^{-2} -75\)
Simplify the equation
= - \(\frac{1874}{25}\) or 74.96
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Please help i need help please
SAVE ME
PLEASE
Answers
Answer:
no the triangle are not similar
Step-by-step explanation:
because the triangles angles are different and they are called isoleses triangle.
Answer:
no they are not similar
Step-by-step explanation:
because for the top triangle the angle is equal -7 on the left and 60 degrees on the right and the bottom is equal to 15 degree on the top 35 degrees on the left and 4 on the right so the one on top is larger
top triangle = 67 bottom triangle = 54
A probability/impact matrix or chart lists the relative probability of a risk occurring on one side of a matrix or axis on a chart and the relative impact of the risk occurring on the other.T/F
Answers
True, a probability/impact matrix or chart lists the relative probability of a risk occurring on one side of a matrix or axis on a chart and the relative impact of the risk occurring on the other.
Does a probability/impact matrix/chart involve assessing the likelihood and consequences of risks?A probability/impact matrix or chart is a useful tool in risk management and analysis.
It helps organizations evaluate and prioritize risks by considering their probability of occurrence and potential impact if they do occur.
The matrix/chart typically presents a grid or axis with different levels of probability and impact.
The probability of a risk refers to how likely it is to happen, while the impact represents the potential consequences or severity of the risk.
By plotting risks on the matrix/chart, organizations can visually assess and compare the risks based on their probability and impact.
This helps in identifying high-priority risks that require immediate attention and mitigation efforts.
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Please help will give brainliest
Answers
Answer:
75.89
Step-by-step explanation:
rffgfbbfb
Answer:
70
Step-by-step explanation:
size can change but angles dont
which is the solution of the equation y=4x+3
Answers
Answer:
It is not possible to solve the equation y = 4x + 3. This is merely a relation between two variables x and y. The variable y is 3 greater than 4 times the variable x.
Step-by-step explanation:
What book?
How to Find the Factors of 13
Answers
The components of a number are the numbers that divide evenly into it. To find the factors of 13, divide 13 by each number from 1 to 13 and check whether or not the result is an integer. 13 is made up of two factors: 1 and 13.
What is division?Division is one of the four fundamental arithmetic operations that allows integers to be connected to produce new numbers. Addition, subtraction, and multiplication are the other operations. Division is the process of dividing a given amount into equal pieces in mathematics. For example, a group of 20 people can be divided into four groups of five people each, or five groups of four people each, and so on. Splitting anything involves dividing it into two or more equal halves, such as an area, class, category, group, or division. To divide something simply is to cut it in half and give it to a group.
Here,
A number's components are the numbers that split equally into it. To determine the factors of 13, divide 13 by each number from 1 to 13 and see if the result is an integer or not. 13 has two factors: 1 and 13.
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The rectangular plate shown weighs 60 lb and is supported by three vertical wires. Determine the tension in each wire. 1 ft B 2 ft 4 ft
Answers
To determine the tension in each of the three vertical wires supporting the rectangular plate, we can apply the principle of equilibrium. By considering the forces acting on the plate, we can calculate the tension in each wire.
Since the plate is in equilibrium, the sum of the vertical forces acting on it must be zero. The weight of the plate is acting downward with a magnitude of 60 lb. The tension in each wire can be considered as a vertical force acting upward.
Let's label the wires as A, B, and C, from left to right. Considering the forces acting on the plate, we have the following equation:
Tension in wire A - Tension in wire B - Tension in wire C = 60 lb.
To find the tension in each wire, we need additional information. For example, if the plate is symmetric, we can assume that the tension in wire B is equal to the tension in wire C. In that case, we can rewrite the equation as:
Tension in wire A - 2 * Tension in wire B = 60 lb.
Since there are no additional details or measurements provided about the plate or the wires, we cannot determine the specific values of the tensions in each wire without further information. The solution would depend on the specific configuration and characteristics of the plate and the wires.
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What is the answer to 6=1-c
Answers
Answer: c=-5
Step-by-step explanation: first you have to rearrange terms
6=1-c
6=-c+1
second you have subtract 1 on both sides
6=-c+1
6-1= -c+1-1
third and final you have to Simplify
5=-c
c=-5
What is 0.1 subtracted from 0.01
Answers
-0.09
Explanation
Ursula took out an unsubsidized Stafford loan to help pay for her first of her four years at college. The loan had a principal of $6,400, an interest rate of 6. 9% compounded monthly. After college, Ursula started making monthly payments over a 10 year period on her loan. What percentage of the total cost of the loan is the finance charge? a. 45. 25% b. 27. 91% c. 43. 50% d. 82. 66%.
Answers
The correct statement is that Ursula has incurred the finance charge of 46.17% about for the loan amounting to $6400. So, the correct option matching the statement is not as quoted in the options above.
Finance charge can be calculated by summarizing and comparing the principal amount with the annuity amount derived by the formula of compound interest.
Compound InterestFinance charge is the additional cost of capital borne by the person to avail the credit facility from the creditor and repayable at the end of a predetermined period at a fixed rate of interest.The calculation of compound interest in the essence of information given below will be as, \(\rm Compounded\ Annuity= 6400(1+\dfrac{0.069}{12})^1^2^\ x\ ^9\ \\\\\\\\\rm Compounded\ Annuity= 6400(1.00575)^1^0^8\)Continuing further, \(\rm Compounded\ Annuity = \$11887.88\)With the value of compounded annuity we get the interest as $5887.88The cost of percentage of finance charge can be calculated as,\(\rm Finance\ charge= \dfrac{Annuity}{number\ of\ monthly\ payments}\\\\\\\rm Finance\ charge= \dfrac{11887.88}{120}\\\\\\\rm Finance\ charge=99.06\)
Hence, the correct option is that Ursula has borne the financial charge as 46.17% of her principal.
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At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was $40$ years old. The average age of the male members was $25$ years old. The average age of the entire membership was $30$ years old. What is the ratio of the female to male members? Express your answer as a common fraction.
Hint: It isn't 5/8
Answers
The ratio of female to male members is 40:25, or 4:2. This can be expressed as a common fraction as 4/2 or 2/1.
What is fraction?A fraction is a way of representing a numerical value that is not a whole number. It is written in the form of a ratio and consists of a numerator and a denominator. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts that make up the whole. Fractions are used to express part of a whole, such as when a pizza is divided into 8 equal slices, each slice would be represented as 1/8 of the pizza. Fractions are also used to represent a ratio between two numbers, such as when a recipe calls for 2/3 cup of sugar. In mathematics, fractions are used to represent division, to compare quantities, and to solve equations.
The ratio of female to male members can be found by taking the ratio of the average age of the female members to the average age of the male members.
Therefore, the ratio of female to male members is 40:25, or 4:2. This can be expressed as a common fraction as 4/2 or 2/1.
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