The value of EG is equal to 24
Given EJ = x² - 4 and JG = 3x
The diagonals of the parallelogram bisect each other. Thus EJ = JG
x² - 4= 3x
x² - 4 - 3x= 0
(x - 4)(x + 1)=0
x = -1, 4
we know that EG = EJ + JG
EG = x² - 4 +3x
Taking the positive value, let us consider x = 4
When x = 4, EG = 16 - 4 +12=24
Therefore, EG =24
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Gert invested all of her money at the end of 2000. At the end of each year, she checks the value of her investment. At the end of what ear will she first find she's doubled her money if gert invested all of her money at 5% simple interest?
The year in which Gert will find that she has doubled her money is year 20.
What year will the amount have doubled?
Simple interest is when the interest earned on an investment increases linearly each year.
The formula that can be used to determine simple interest is:
Simple interest = amount invested x duration of the investment x interest rate.
When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).
Year when investment would have doubled = simple interest / (amount invested x interest rate)
Year when investment would have doubled = $2000 / (0.05 x 2000)
Year when investment would have doubled = $2000 / 100 = 20 years
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please help!!!
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
9 + 20p ≤ 125
Step-by-step explanation:
This does not include the tax.
The total monthly charges, $C, for a mobile plan consist of a fixed amount of $ 120 and a variable amount which depends on the usage. For every minute used, $0.20 is charged. If the duration of usage is 120 minutes, calculate the total monthly charges for the mobile plan
The total monthly charges for the mobile plan if the usage is 120 minutes is $480.
Given that,
A mobile plan's total monthly costs, $C, are made up of a fixed fee of $ 20 and a variable fee that is based on usage. The cost is $0.20 per minute used.
We have to calculate the total monthly charges for the mobile plan if the usage is 120 minutes.
We know that,
A mobile plan fee is $20
For 1 min $0.20 for mobile plan
For 120 minutes
=120×0.2
=24
=24×20
=480
Therefore, the total monthly charges for the mobile plan if the usage is 120 minutes is $480.
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How do you define a function?
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly one object f(x) in the set of potential outputs if the object x is in the set of inputs (referred to as the domain) (called the codomain).
The metaphor of a function machine, which accepts an object as its input and produces another object as its output based on that input, makes the concept of a function simple to understand.
Given a collection of possible outputs Y (codomain) and a set of inputs X (domain), a function is more precisely defined as f: X→Y which shows that f is a function from X to Y using this notation.
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Tom's growth chart
categorical
discrete
continuous
Tom's growth chart is a continuous graph.
What is a continuous graph ?Continuous graphs are those in which every single value of x has a corresponding value of y, and the line of the graph is always uninterrupted.This is because every point is situated adjacent to the one on either side of it. The graph is continuous if the line is continuous, in other words. If a function's graph is a continuous curve with no breaks, holes, or gaps, then the function is considered continuous.One with dispersed points is a discrete graph and a direction or trend for it could be present or not. Categorical data is visualized using bar charts and pie charts. According to the visual, both sorts of graphs have variances.To learn more about continuous graph , refer:
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Find the amount Erica owes at the end of 6 years if $ 5300 is loaned to her at a rate of 8 % compounded monthly. use A=P(1+r÷n)ⁿt
The amount owed is $
(Do not round until the final answer. Then round to the nearest cent as needed.)
The final amount compounded monthly at a rate of 8% over 6 years on a principal of $5300 is $8551.56
Compound InterestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.
The formula of compound interest as given in the questions is
A = Final amount P = principalr = ratet = timen = number of times compoundedA = P[(1 + r/n)^nt
Substituting the values into the formula
A = 5300(1 + 0.08/6)^12 * 6
A = 8,551.56
Erica will owe $8551.56
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In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°. Find the length of t, to the nearest 10th of an inch.
The length of t will be;
⇒ t = 294.30 inches.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°.
Now,
Since, In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°.
Hence, ∠ T = 180 - (17 + 52)
∠ T = 180 - 69
∠ T = 111°
Now, We use the sin rule as;
⇒ t / sint = s / sin s
⇒ t / sin 111° = 250 / sin 52
⇒ t = sin 111° × 250 / sin 52
⇒ t = 0.93 × 250 / 0.79
⇒ t = 294.30 inches.
Thus, The length of t will be;
⇒ t = 294.30 inches.
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Answer: 296.2
Step-by-step explanation:
t/sin111 = 250/sin52
t=250 sin111/52 = 296.1826 = 296.2
Help Please!
3. An exercise equipment company is producing 45 lb. weights. To ensure the quality of their weights, they randomly select 60 weights and find that the mean weight of their sample is 45.07 lbs. with a standard deviation of 0.09 lbs. Create a 95% confidence interval and interpret the answer in context.
A. (45.0509, 45.0891); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0509 and 45.0891 lbs.
B. (44.8423, 45.2977); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.8423 and 45.2977 lbs.
C. (44.9772, 45.0228); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.9772 and 45.0228 lbs.
D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0472 and 45.0928 lbs.
4. Raul is analyzing a set of data he collected and creating a confidence interval. If he chose to reduce the size of the sample and increase the level of confidence, how would that affect the confidence interval? Explain.
A. The size of the confidence interval would decrease because Raul would be dividing by a larger z-score and multiplying by a smaller sample size.
B. The size of the confidence interval would increase because Raul would be dividing by a smaller z-score and multiplying a larger sample size.
C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.
D. The size of the confidence interval would decrease because Raul would be multiplying by a smaller z-score and dividing by a smaller sample size
The responses for the confidence intervals of the 45 lbs weight and the set of data are;
3. D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb weights lies between 45.0472 and 45.0928
4. C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.
What is a confidence interval?The confidence interval is the likelihood of a parameter of a population can be found within a range of values during a specified percentage or proportion of the time.
3. The confidence interval can be found using the formula;
[tex]CI = \overline x \pm z\cdot \dfrac{s}{\sqrt{n} }[/tex]
Where;
[tex]\overline x[/tex] = The mean of the sample = 45.07 lbs
s = The standard deviation of the sample = 0.09 lbs
n = The sample size
z = The confidence level = 1.96 at 95% confidence level
Therefore;
[tex]CI = 45.07 \pm 1.96\times \dfrac{0.09}{\sqrt{60} }[/tex]
45.0472 < μ < 45.0928
The correct option is therefore, option D
Therefore;
The company can be 95% sure that the mean of the population of the 45 lb weights are between 45.0472 and 45.0928 lbs4. Decreasing the sample size, n, will decrease the value by which the term on the right of the ± is being divided, increasing the confidence interval.
Increasing the level of confidence will increase z, thereby also increasing the confidence interval.
The correct option is therefore, option C.
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y.y^3.y^2 pleas help me and spread the gospel of God
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].
[tex]y^{1+3+2[/tex]
2) Simplify 1 + 3 to 4.
[tex]y^{4+2}[/tex]
3) Simplify 4 + 2 to 6.
[tex]y^6[/tex]
Thank you,
Eddie
What are the steps in solving rational expressions?
The steps in solving two rational numbers is using the cross multiplication method and then do the arithmetic operation on the numerator
The rational expression is defined as the expression with both numerator and denominator has polynomials.
Consider two rational expressions
Add two expression using cross multiplication
a/b + c/d
Cross multiply the expression
a/b + c/d = (ad + cb) / bd
Subtract two expression using cross multiplication
a/b - c/d
Cross multiply the expression
a/b + c/d = (ad - cb) / bd
Therefore, the two rational expression can be solved by using the cross multiplication method and do the arithmetic operation
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Determine the solution to the system of equations
x - 6y + 4z = -12
x + y = 0
2x + 2y = 0
Answer:
x = 0 , y = 0 , z = -3
Step-by-step explanation:
Solve the following system:
{x - 6 y + 4 z = -12 | (equation 1)
x + y - 4 z = 12 | (equation 2)
2 x + 2 y + 5 z = -15 | (equation 3)
Swap equation 1 with equation 3:
{2 x + 2 y + 5 z = -15 | (equation 1)
x + y - 4 z = 12 | (equation 2)
x - 6 y + 4 z = -12 | (equation 3)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x+0 y - (13 z)/2 = 39/2 | (equation 2)
x - 6 y + 4 z = -12 | (equation 3)
Multiply equation 2 by 2/13:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x+0 y - z = 3 | (equation 2)
x - 6 y + 4 z = -12 | (equation 3)
Subtract 1/2 × (equation 1) from equation 3:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x+0 y - z = 3 | (equation 2)
0 x - 7 y + (3 z)/2 = -9/2 | (equation 3)
Multiply equation 3 by 2:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x+0 y - z = 3 | (equation 2)
0 x - 14 y + 3 z = -9 | (equation 3)
Swap equation 2 with equation 3:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x - 14 y + 3 z = -9 | (equation 2)
0 x+0 y - z = 3 | (equation 3)
Multiply equation 3 by -1:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x - 14 y + 3 z = -9 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract 3 × (equation 3) from equation 2:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x - 14 y+0 z = 0 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 2 by -14:
{2 x + 2 y + 5 z = -15 | (equation 1)
0 x+y+0 z = 0 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{2 x + 0 y+5 z = -15 | (equation 1)
0 x+y+0 z = 0 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract 5 × (equation 3) from equation 1:
{2 x+0 y+0 z = 0 | (equation 1)
0 x+y+0 z = 0 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 1 by 2:
{x+0 y+0 z = 0 | (equation 1)
0 x+y+0 z = 0 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Collect results:
Answer: {x = 0 , y = 0 , z = -3
Step-by-step explanation:
Dolphins and other sea creatures can leap to great heights by swimming straight up and exiting the water at a high speed. A 230kg dolphin leaps straight up to a height of 6.4 m When the dolphin reenters the water, drag from the water brings it to a stop in 1.5 m
The motion of the dolphin, evaluated using the kinematic equations and Newton's second law of motion are;
The time it takes the dolphin to stop is about 0.268 secondsThe force of the water on the dolphin is about 9626.88 NWhat is the Newton's second law of motion?Mathematically, Newton's second law of motion states that force is the product of mass and acceleration.
The mass of the dolphin = 230 kg
Height to which the dolphin leaps = 6.4 m
The distance the drag brings the dolphin to a stop = 6.4 meters
First part;
The time it takes the dolphin to stop can be found from the equation;
At the water surface;
m·g·h = 0.5·m·v² (conservation of energy)
g·h = 0.5·v²
v² = 2·g·h
Therefore;
v² = 2 × 9.81 × 6.4 = 125.568
In the water, the initial velocity is v, the velocity at 1.5 meters depth is u, we get;
u² = v² - 2·a·s
Therefore;
v² = 2·a·s
a = v²/(2·s)
a = 125.568/(2 × 1.5) = 41.856
a = 41.856 m/s²
v = u - a·t
t = (u - v)/a
Therefore;
t = (√(125.568))/41.856 ≈ 0.268
The time it takes the dolphin to stop is about 0.268 seconds
Second part
Newton's second law of motion states that force is directly proportional to the rate of change of momentum produced
Mathematically
Force = Mass × Acceleration
Force on the dolphin, F = 230 kg × 41.856 m/s²= 9626.88 N
The possible parts of the question, obtained from a similar question are;
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A rectangular yard measuring 35 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 3 ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
The area of walk is 504 square feet
Area of rectangleThe area of rectangle is define as a product of length L and width w
calculate the area of rectangle yard
Area = L x W,
where A equal the Area, L equals the length and W equal width.
A = 35 x 55
A= 1925 square feet
Area of the rectangular yard is 1925 square feet
From the question, we have 3ft wide goes all the way along the fence inside.
Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .
Area = L x W
A = 29 x 49
A = 1421 square feet
Area of new rectangle formed by allowing for three foot walk is 1421 square feet
Area of Walk
To get the area walk; we subtract area of new rectangular formed from area of rectangular yard
Area of Walk = Area of Rectangular yard - Area of new rectangle
Area of Walk = 1925 - 1421
Area of Walk = 504 square feet.
Therefore, the area of walk is 504 square feet.
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Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.
Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.
How is the total cost determined?The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).
The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.
Cost of car = $27,000
Annual Percentage Rate (APR) = 4%
Payment period = 4 years (monthly)
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 4%
PV (Present Value) = $27,000
FV (Future Value) = $0
Results:
PMT = $609.63
Sum of all periodic payments = $29,262.24
Total Interest = $2,262.45
Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.
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What is 4x + 2 < 5x?
Step-by-step explanation:
4x +2 <5x4x <5x-24x-5x<-2-x<-2x<2Is ABCD a rhombus explain?
The ABCD parallelogram turns into a rhombus if all of its sides are equal.
What are the geometric properties of a parallelogram and a rhombus?Geometry of a parallelogramEqual are the sides that oppose.Equal angles are opposite angles.Each other in a diagonal.Nevertheless, the length of diagonals varies.Geometric characteristics of rhombusAll Sides are equal.
Diagonals bisect at 90°.
In our question,
AB = DC is given for a quadrilateral ABCD (parallelogram).
When a parallelogram's sides are uneven, symmetry is disrupted and its diagonals do not bisect at 90 degrees. However, when all of the sides are equal, the diagonal does bisect at 90 degrees and the parallelogram becomes a rhombus.
Therefore, when all of a parallelogram's sides are equal, it becomes a rhombus.
The complete question is:
You are trying to prove that quadrilateral ABCD is a rhombus. You know that both pairs of opposite sides are parallel (a parallelogram). Which additional fact would prove that ABCD is a rhombus?
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what is the fourth term of d 4b3
The fourth term of the polynomial (d - 4b)³ is D. -64d³.
What is a polynomial?A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Given the expression (d - 4b)³, we need to open the bracket, hence:
(d - 4b)³ = d³ + 3(d²)(-4b) + 3(d)(-4b)²
= d³ - 12bd² + 48b²d - 64d³
Therefore, the fourth term of (d - 4b)³ is D. -64d³
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We couldn't find any school results for There were X quarts of liquid in a
con-tainer. First, 3/4 of the liquid in the container was removed. Then
another 1/2 quart was poured into the container. Write an expression in
terms of X for the number of quarts of liquid in the container at the end.
Then write another equivalent expres-sion. Explain.
Initial liquid volume is x.
3/4 of the liquid was removed:
[tex]x - \cfrac{3}{4} x[/tex]Then 1/2 quarts added, the expression including the addition is:
[tex]x - \cfrac{3}{4} x + \cfrac{1}{2}[/tex]Simplify to get equivalent expression:
[tex]\cfrac{1}{4} x + \cfrac{1}{2}[/tex]3(2x - 5) = 9(10 - x)
Answer:
x=7
Step-by-step explanation:
3(2x-5)=9(10-x)
6x-15=90-9×
6x+9x=90+15
15x=105
×=7
Answer:
x = 7
Step-by-step explanation:
1. Distribute
3(2x - 5) = 9(10 - x)
6x - 15 = 9(10 - x)
2. Rearrange Terms
6x - 15 = 9(10 - x)
6x - 15 = 9(-x + 10)
3. Distribute
6x - 15 = 9(-x + 10)
6x - 15 = -9x + 90
4. Add 15 to both sides
6x - 15 = -9x + 90
6x - 15 + 15 = -9x + 90 + 15
5. Simplify
Add the numbers:
6x - 15 + 15 = -9x + 90 + 15
6x = -9x + 90 + 15
Add the numbers:
6x = -9x + 90 + 15
6x = -9x + 105
6. Add 9x to both sides
6x = -9x + 105
6x + 9x = -9x + 105 + 9x
7. Simplify
Combine like terms:
6x + 9x = -9x + 105 + 9x
15x = -9x + 105 + 9x
Combine like terms:
15x = -9x + 105 + 9x
15x = 105
8. Divide both sides by the same factor
15x = 105
15x/15 = 105/15
9. Simplify
Cancel terms that are in both the numerator and denominator:
15x/15 = 105/15
x = 105/15
Divide the numbers:
x = 105/15
x = 7
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Choose the symbol that correctly compares these numbers.
18.6? 18.7
O A. <
OB. =
O C. >
Answer: A
Step-by-step explanation:
18.6 is less than 18.7
so 18.6<18.7
You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.
The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.
If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].
Question 1: Multiply: 12.10²
A 120
B 12000
c 1200
D 1.2
Am pula mare!
Da aaaaaaaaaaa????
How do you tell if a function has a discontinuity?
We know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
According to the question,
We have the following information:
A function is given and we need to find if the given function is discontinuous or not.
There are two situations to find this whether the function is discontinuous or not. First, we need to know that the function has both the left hand limit as well as the right hand limit.
Second condition is to check whether if the limits are equal or not. If they are not equal then the function is discontinuous.
Hence, we know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
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At this rate, if Candidate A received 45 votes, how many votes did Candidate B receive?
The number of votes that Candidate B received, given the rate and the votes received by Candidate A, is 63 votes
How to find the number of votes?The question shows that for every 5 votes received by Candidate A, Candidate B will receive 7 votes.
This means that if Candidate A has 45 votes, the number of votes that Candidate B would receive can be found to be :
= Number of votes received by Candidate A / Number of votes Candidate A receives per Candidate B x Number of votes Candidate B receives per Candidate A
= 45 / 5 x 7
= 9 x 7
= 63 votes
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The first part of the question is:
Candidate A receives about 5 votes for every 7 votes received by Candidate B.
The half-life of nitrogen-16 is approximately 7.13 seconds.
Step 3 of 3 : How much of a 3 gram sample of nitrogen-16 would remain after 4 seconds? Round to three decimal places.
Using half-life and disintegration constant, the sample that will remain 4 seconds 2.03g
RadioactivityThis is the spontaneous decay of an active radioactive sample. The decay curve is exponential and it slope is constantly changing.
The half-life of this sample given can be used to find the disintegration constant of the sample.
The formula of half - life is given as
T₁/₂ = ln2 / λ
T₁/₂ = Half-Life λ = disintegration constantSubstitute the values into the equation;
7.13 = 0.693 / λ
λ = 0.693 / 7.13
λ = 0.0972
The amount of sample left after 4 seconds will be
A = Ne⁻(λt)
A = 3e⁻(0.0972 * 4)
A = 2.03g
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what is the length of ac brainly
The length of AC is equal to 5 units.
Given:
From the figure :
ΔABC is a right angled triangle with sides:
AB = 3 and BC = 4
Right angled triangle:
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.
The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.
The third side is called the hypotenuse, which is the longest side of all three sides.
we know that,
According to pythagorean theorem:
[tex]AB^2+BC^2 = AC^2[/tex]
3^2 + 4^2 = AC^2
9 + 16 = AC^2
AC^2 = 25
AC = [tex]\sqrt{25}[/tex]
AC = 5 units.
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Full question:
is in the image uploaded
list all of the mutipes of 5 less than or equal to 50
Answer: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Step-by-step explanation: Add 5 until you get to 50.
Need help pls on maths question
Answer please anyone help same doubht
Step-by-step explanation:
Answer:
Refer to the photos taken.
Step-by-step explanation:
A parachutist's rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Rate:
Distance fallen in 20 seconds:
The free fall speed of a parachutist can exceed 216 kilometres per hour. During his 20 seconds of free fall, the parachutist will plunge 1960 metres.
What is Acceleration ?Every time an object is subject to a net force that is greater than zero, acceleration happens. You can experience it when riding down a steep hill on your sled in the snow or when you slightly accelerate or decelerate in an elevator. Furthermore, we know that the universe as a whole is expanding at an even faster rate because to the general theory of relativity. This implies that the distance between two places is always enlarging, yet we are oblivious to this on a daily basis because every scale in the universe also expands.
During free only acceleration due to gravity(g) acts on the parachutist. Assuming acceleration due to gravity is positive i.e. g=9.8m/s² .
For conversion we know that
1 km = 1000 m and
1 hr = 3600 seconds
216 km/hr = 60 m/s
Location of parachutist during 20 seconds
[tex]h = \frac{1}{2} \times g \times t^2[/tex]
[tex]h=\frac{1}{2} \times 9.8 \times 20^2[/tex]
h = 1960 meters
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The table shows the lengths of hiking trails. It took Lannie 1.9 hours
to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
Write and solve an equation to find the average hiking rate for
Lannie. Write and solve an equation to find the average hiking rate
for Ava. What is the difference between their average hiking rates?
Round to the nearest tenth.
The difference between their average hiking rates is 0.51 miles/hour.
Given that, it took Lannie 1.9 hours to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed =Distance/Time
Here, Ranger Cove distance =4.8 miles and time =1.9 hours
Now, rate =4.2/1.9
= 2.21 miles/hour
Mohawk Trail distance =6.8 miles and time =4 hours
Now, rate =6.8/4
= 1.7 miles/hour
The difference between their average hiking rates
= 2.21-1.7
= 0.51 miles/hour
Hence, the difference between their average hiking rates is 0.51 miles/hour.
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