The equations that can verify the solution.
-48 = -35 - 13
-48 = 7(-5) - 13
-48 = -7(5) - 13
Options B, C, and D are the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 6 is an equation.
We have,
-48 = -7x P - 13
-48 + 13 = -7P
-35 = -7P
P = 5
The solution is 5.
This means,
-48 = - 7 x 5 - 13
-48 = -35 - 13
-48 = -48
Verified.
Now,
A.
-48 = -7(-5) - 13
-48 = 35 - 13
-48 = 22
Not true.
B.
-48 = -35 - 13
-48 = -48
Verified.
C.
-48 = 7(-5) - 13
-48 = -35 - 13
-48 = -48
Verified.
D.
-48 = -7(5) - 13
-48 = -35 - 13
-48 = -48
Verified.
E.
48 = 35 + 13
48 = 48
True.
F.
48 = 7(5) + 13
48 = 35 + 13
48 = 48
True.
Thus,
-48 = -35 - 13
-48 = 7(-5) - 13
-48 = -7(5) - 13 equations can verify the solution.
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Among fatal plane crashes that occurred during the past 70 years, 503 were due to pilot error, 90 were due to other human error, 326 were due to weather, 382 were due to mechanical problems, and 643 were due to sabotage.What is the most serious threat to aviation safety, and can anything be done about it?
A. Sabotage is the most serious threat to aviation safety. Airport security could be increased.
B. Mechanical problems are the most serious threat to aviation safety. New planes could be better engineered.
C. Weather is the most serious threat to aviation safety. Weather monitoring systems could be improved. D. Pilot error isPilot error is the most serious threat to aviation safety. Pilots could be better trained.
Sabotage is the most serious threat to aviation safety. Airport security could be increased.
The relative normal probability plot of aeroplane crashes is derived by using its concept:
Error of the pilot: 503/1944 = 0.258.
90/1944 erroneous by humans: 0.046.
326/1944 = 0.167 for weather.
issues with the mechanics: 382/1944 = 0.196.
643/1944 = 0.330 sabotage.
Sabotage provide the chief concern as a result of the higher relative frequency; therefore, airport security could be increased.
Define Relative Frequency.
The number of desired outcomes divided by the total number of outcomes yields a relative frequency.
The total number of accidents in this problem is provided by:
503+90+326+382+643 = 1944
Following are the relative frequencies of each cause:
Error of the pilot: 503/1944 = 0.258.
90/1944 erroneous by humans: 0.046.
326/1944 = 0.167 for weather.
issues with the mechanics: 382/1944 = 0.196.
643/1944 = 0.330 sabotage.
Due to Sabotage provide the greatest concern as a result of the increased relative frequency; therefore, airport security should be increased.
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show the work 5/6 and thank you
The decimal form of the fraction 5 / 6 is 0.84.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fractional number is 5 / 6.
The decimal form of the number will be calculated by dividing the number 5 by the number 6.
Decimal number = 5 / 6
Decimal number = 0.8333333333333
Decimal number = 0.84
Hence, the decimal form will be 0.84 for the fraction 5 / 6.
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Amelia selects a pupil from the list at random 300 times and records the
number of pupils who studies Spanish, Italian, French or German.
Subject Spanish Italian
Frequency 90
60
French German
30
120
Amelia selects a pupil from the list at random 300 times.
Work out the relative frequency that a pupil studies French.
Submit Answer
The relative frequency that a pupil studies French is 0.1
What is Relative Frequency?This refers to the proportion of one event's frequency to all events' frequencies in a statistical experiment.
Given that:
The total number of data values is 300
The frequency of a pupil that studies French is 30
The relative frequency is 30/300 = 0.1
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Find the slope of a line parallel to the line whose equation is 3x+18y=-4863x+18y=−486. Fully simplify your answer.
The slope of the parallel line is given by the equation m = ( -1/6 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
3x + 18y = -486 be equation (1)
On simplifying the equation , we get
Subtracting 3x on both sides of the equation , we get
18y = -3x - 486
Divide by 18 on both sides of the equation , we get
y = ( -3/18 )x - ( 486/18 )
On further simplification , we get
y = ( -1/6 )x - 27
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = -( 1/6 )
Hence , the slope of the line is m = -1/6
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please help me. it’s a practice assignment and i don’t know what to do.
This equation cannot be solved as e to the power of any number cannot be negative. The population of a town cannot be negative. Hence, the population cannot reach 60,000.
Why do you say so ?To approximate the number of years it will take for the population to reach 40 thousand using the graph, you can look at the x-axis and visually estimate the point where the population line intersects with the 40,000 line. It looks like this will occur around year 25.
To find the number of years it will take for the population to reach 60 thousand without using the graph, you can set up the equation p(n) = 18 - e = 60,000 and solve for n.
p(n) = 18 - e = 60,000
18 - e = 60,000 + e
36 = 120,000
e = -84,000
n = log(-84,000)/log(e)
This equation cannot be solved as e to the power of any number cannot be negative. The population of a town cannot be negative. Hence, the population cannot reach 60,000.
What is data integration ?Data integration is the process of combining data from multiple sources into a single, coherent view. This can involve the merging of data from multiple databases, files, or other data storage systems into a centralized repository, or it can involve the creation of a new, unified dataset from disparate sources. The goal of data integration is to provide a single version of the truth by removing duplicates, inconsistencies, and errors, and providing a comprehensive, accurate, and up-to-date view of all relevant data. Data integration is a critical step in many data management and analytics processes and is important for ensuring the reliability and usefulness of data for decision-making.
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Solve x²+bx+c = 0 by completing the square. Your answer will be an expression for x in terms of b and c.
The roots of the given quadratic function would be -
x = {- b - √(b² - 4c)}/2 & x = {- b + √(b² - 4c)}/2
What is a function? What is a quadratic function?A function describes a relationship between a dependent and independent variable. Example -
y = f(x) = 5x + 9
A quadratic function is of the form -
y = f(x) = ax² + bx + c
Given is the quadratic equation as -
x² + bx + c = 0
Using the quadratic formula, we can write the roots as -
x = {- b ± √(b² - 4c)}/2
We can write the two distinct roots as -
x = {- b - √(b² - 4c)}/2 & x = {- b + √(b² - 4c)}/2
Therefore, the roots of the given quadratic function would be -
x = {- b - √(b² - 4c)}/2 & x = {- b + √(b² - 4c)}/2.
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RS=27. Find QS.
I been trying my hardest to get the answer
The length of the Line segment QS is; QS = 63
How to find the length of the line segment?From the given diagram attached which is a straight line segment, we can see that;
QR = 9x
RS = 12x - 21
We are told that the length of line segment RS = 27. Thus;
12x - 21 = 27
12x = 27 + 21
12x = 48
x = 48/12
x = 4
Thus;
QR = 9*4 = 36
RS = 12(4) - 21
RS = 27
Thus, we can say that;
QS = 36 + 27
QS = 63
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I need some help with this question
Answer:
1/15
Step-by-step explanation:
If you divide all the fractions, only 1/15 has a repeating decimal. Hope you pass, Alyssa
a sample is a subset of all possible data values for a given subject under consideration.
False. A sample is a subset of all possible data values for a given subject under consideration, not the set of all possible data values.
What is sample space?
The set of all potential outcomes for an experiment is referred to as the sample space S in a random experiment. The results of a random experiment, also known as sample points, are incompatible (i.e., they cannot occur simultaneously).
According to question:A sample is a portion of a larger set of data that is selected for analysis or representation. It is not the entire set of all possible data values for a given subject, but rather a smaller subset chosen for the purpose of study.
Sampling is important because it allows researchers to study and make inferences about a larger population with a smaller, more manageable amount of data.
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HELP PLEASEEEEEEEEEE
Vertex is (7, -6).
Vertex form is y = -9/121 (x + 7)² + 6
Standard form is y = (-9/121)x² - (126/121)x + 285/121
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
(4, -3), (10, 3), and (7, -6)
Now,
The vertex form of an equation is y = a(x - h)² + k
From the graph,
The vertex is (-7, 6).
Vertex form.
(-7, 6) = (h, k)
y = a(x - h)² + k
y = a(x + 7)² + 6
Now,
(4, -3) = (x, y)
So,
-3 = a(4 + 7)² + 6
-3 = a x 11² + 6
-3 = 121a + 6
-3 - 6 = 121a
a = -9/121
Now,
y = a(x + 7)² + 6
y = -9/121 (x + 7)² + 6
y = -9/121 (x² + 14x + 49) + 6
y = (-9/121)x² - (9/121 x 14)x - 9/121 x 49 + 6
y = (-9/121)x² - (126/121)x - 441/121 + 6
y = (-9/121)x² - (126/121)x + 285/121
This is the standard form.
Thus,
Vertex form is y = -9/121 (x + 7)² + 6
Standard form is y = (-9/121)x² - (126/121)x + 285/121
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The right triangle shown needs to be enlarged such that each side is multiplied by the value of the hypotenuse, 4c. Find the
simplified expression that represents the perimter of the new triangle.
A
B
4c
8c+1
6c+4
C
The simplified expression that represents the perimeter of the new triangle
is 72c² + 20c.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the perimeter of any two-dimensional planer figure is the sum of the lengths of it's all the sides except the circle.
The given perimeter of the right angle triangle is,
= (4c + 6c + 4 + 8c + 1).
= 18c + 5.
Therefore, The new perimeter of the triangle will be,
= 4c(18c + 5).
= 72c² + 20c.
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A sign company is building a sign with the dimensions shown.
What is the area of the sign? Question 4 options:
A. 60 square feet
B. 240 square feet
C. 120 square feet
D. 260 square feet
TLDR: Your answer is D. 260 square feet.
To find the area of a triangle, you must use the formula "1/2 B ⋅ H."
In this problem, your values are the following:
B = 20
H = 26
Now, you just plug these values in and solve.
1/2 (20) ⋅ 26 > 10 ⋅ 26 = 260 ft
the process of using sample statistics to draw conclusions about population parameters is called: group of answer choices calculating the confidence level. calculating descriptive statistics. finding the significance level. doing inferential statistics.
Option D. Doing inferential statistics. Inferential statistics is the process of using sample statistics to draw conclusions about population parameters.
This involves making inferences about a population based on data collected from a sample, and using statistical methods to estimate the true values of population parameters, such as the mean or proportion.
Descriptive statistics, on the other hand, involves summarizing and describing the characteristics of a sample or population, without making any inferences about the larger population.
Calculating the confidence level and finding the significance level are important components of inferential statistics, as they help to assess the accuracy and reliability of the estimates made based on the sample data. However, these are not the primary processes involved in using sample statistics to draw conclusions about population parameters.
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The process of using sample statistics to draw conclusions about population parameters is called: group of answer choices
A. Calculating the confidence level.
B. Calculating descriptive statistics.
C. Finding the significance level.
D. Doing inferential statistics.
Isaac has a total of ninety pennies, nickels, and quarters. He has three and a half times as many quarters as nickels and one-half as many pennies as nickels. How many of each coin does he have?
The equivalent values of the variables {x}, {y} and {z} are -
x = 28.33
y = 29.83
z = 31.83
What is a function?An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example -
y = f{x} = ax + b
Given is that Isaac has a total of ninety pennies, nickels, and quarters. He has three and a half times as many quarters as nickels and one-half as many pennies as nickels.
Assume that he has {x} nickels, {y} pennies and {z} quarters.
So, we can write -
z = x + 3.5
y = x + 1.5
x + y + z = 90
Substituting the values of {y} and {z}, we get -
x + x + 1.5 + x + 3.5 = 90
3x + 5 = 90
3x = 85
x = 28.33 .... Eq { 1 }
y = 28.33 + 1.5 = 29.83
y = 29.83 .... Eq { 2 }
z = 31.83 .... Eq { 3 }
Therefore, the equivalent values of the variables {x}, {y} and {z} are -
x = 28.33
y = 29.83
z = 31.83
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the local library has a child section with picture books and chapter books the ratio is 2 to 3 if there are a total of 500 books in childrens sections then how many chapter books are there?
A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.
If the ratio is 2: 3, (children's section: chapter books) we can use this equation to figure out how many chapter books there are if there are 500 children's section books:
500 × 1.5 = 750Why do we multiply by 1.5?In the ratio 2: 3, 2 is being multiplied by 1.5 to get to 3. If the relationship between the numbers 2 and 500 stays proportional, we multiply 500 by 1.5.
Therefore, the ratio of children's books to chapter books is 500: 750, meaning there are 750 chapter books.
Graph g(x) = |x + 3|.
the graph of the function g(x) = |x + 3| will not have a negative value. graph of the given function is attached below.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given a function g(x) = |x + 3|.
Since the modulus of a function is a function that gives the absolute value of a number or variable. It produces the magnitude of the number of variables. It is also termed an absolute value function. The outcome of this function is always positive, no matter what input has been given to the function.
Thus,
The domain of this function g(x) is - infinite to + infinite
And range will be [0, ∞)
So the graph of the function g(x) = |x + 3| will not have a negative value.
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Solve by square root. (X-8)*2-7=25 *2 is an exponent
The solution is X =13.66.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have,
given that,
(X-8)^2-7=25
(X-8)^2= 25+7
(X-8)^2=32
by, thaking sq.root both side we get,
(X-8)= √32
X= 5.66+8
X =13.66
Hence, The solution is X =13.66.
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66th term of the arithmetic sequence 3, 13, 23,
The 66th term of this arithmetic sequence is equal to 653.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Next, we would determine the common difference as follows.
Common difference, d = a₂ - a₁
Common difference, d = 13 - 3
Common difference, d = 10.
Substituting the given parameters into the formula, the 66th term of this arithmetic sequence is given by;
a₆₆ = a₁ + (n - 1)d
a₆₆ = 3 + (66 - 1)10
a₆₆ = 3 + (65)10
a₆₆ = 3 +650
a₆₆ = 653.
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The 66th term of the arithmetic sequence is 653
What are arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.
The nth term of an arithmetic sequence is given as:
a(n) = a1 + (n-1) d
a1 is the first term and d is common difference
d =10, a = 3
a(66) = 3 + ( 66-1) 10
a(66) = 3+ 65 ×10
a(66) = 3 + 650
a(66) = 653
therefore the 66th term of the sequence is 653
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michael is 3 33 times as old as brandon. 18 1818 years ago, michael was 9 99 times as old as brandon. how old is brandon now?
Brandon is currently 6 81 years old.
Let M be Michael's age and B be Brandon's age.
We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B
We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).
We can combine these two equations to solve for Brandon's current age:
3 33 × B = (9 99 × B) + 18 1818
2 66 × B = 18 1818
B = 18 1818 / 2 66 = 6 81.
Therefore, Brandon is currently 6 81 years old.
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Whole numbers are _____ integers. always, sometimes, never
Answer:
Always
Step-by-step explanation:
A whole number will always be an interger.
Evaluate each expression if d = –24, e = –4, & f = 8.
f+8/-4
Answer:
d=-28 and e=-20
Step-by-step explanation:
d×1=-24×1=e=4
d=-24-4=-28
\frac{x-5}{x-2}=\frac{8}{9}
now, let's consider the effects of time dilation. how far would the pion actually travel before decaying?
To get the number of half-lives passed, we divide the time of flight from part a by the length of a half-life, as
given in the statement of the problem:
Number of half lives = 2×10−4
1.5×10−6 ≈ 133
The fraction of remaining muons will decrease by 1/2
every half life, so the fraction after a given number N of
half-lives will be:
1/2 × 1/2 × 1/2
· · · N times · · · × 1/2 = ( 1/2)N .
This makes the fraction remaining equal to 1/2 to the power 133:
fraction remaining = ( 1/2)
133 ≈ 10−40. That’s not very many muons
First-generation quarks are what make up pions, which are mesons with no spin. An anti-down quark and an up quark are described in the quark model. In addition to vector, rho, and omega mesons, the exchange of virtual pions also explains why there is still a strong interaction between nucleons. Pions are typically created in high-energy collisions between hadrons and are not created during radioactive decay. In some matter-antimatter annihilation processes, pions are also produced.
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Note that the full question is:
Ne of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c).Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (nu). We'll ignore the neutrinos throughout this problem.
If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 microseconds. Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects.
Cosmic rays are constantly raining down on the earth from outer space. (Figure 1)The majority of these cosmic rays are protons, and when upper atmosphere, they can convert into particles called pions (), which subsequently decay into muons with a characteristic lifetime of T.
Suppose that a cosmic-ray proton crashes into a nitrogen molecule in the upper atmosphere. 45 km above the earth's surface, producing a pia a muon. Assume that the pion has a velocity of 99.99% the speed of light and decays into a muon, which, owing to kinematics, has a downward velocity of 99.9943% the speed of light.
now let’s consider the effect of time dilation how far would the pion actually travel before decaying?
Can someone help me ive been stuck on this for a bit
Keenan opens a savings account with $740
that earns 6% interest per year, not compounded.
How much money, to the nearest penny, will Keenan have in 8 years? Give your answer in dollars.
Answer: $1095.20
Step-by-step explanation: Multiply 6% by 740 and then times that number by 8 and add it to 740, lmk if it is wrong though.
Answer:
1095.20
Step-by-step explanation:
Take the 8 for the amount of time and multiply it by .06 because .06 is repeating each year.
You get .48 when you multiply it. Take that decimal and multiply it by 740.
He will get an extra 355.20. Add that with 740.
He has $1095.20 in his account.
A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an ellipse centered at the origin, with a horizontal major axis of 8 units and a minor axis of 6 units. Show your work. (3 points) Part B: Create the equation of a hyperbola centered at the origin, with a horizontal transverse axis, vertex at (–7, 0), and asymptotes of y equals plus or minus six sevenths x period Show your work. (4 points) Part C: Determine the domain of each conic section and use it to explain why there is no solution to the system. (3 points)
The equation of the ellipse and the equation of the hyperbola can be derived from the given information and the general form of the equations.
Part A: The equation of the ellipse is [tex]\frac{x^2}{3^2} + \frac{y^2}{4^2} = 1[/tex]
Part B The equation of the hyperbola is [tex]\frac{x^2}{(-4)^2} - \frac{y^2}{(-7)^2} = 1[/tex]
Part C: The domain of the ellipse is; [-3, 3]
The domain of the hyperbola is; (-∞, -4]
The domains of the ellipse and the hyperbola do not intersect, therefore, the system of the equation has no solution.
What is an Ellipse?A planar curve with two focal points is called an ellipse if at every point on the curve the sum of the two distances from the focal points is constant.
The domain of the hyperbola = x < The negative vertex
∴ The domain of the hyperbola = x < -4 = (-∞, -4]
The above domain of the ellipse does not extend to the hyperbola, therefore there is no solution to the system
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What is the volume of this prism?
Answer:
560
Step-by-step explanation:
7*20*4=560
What is the scale factor of the enlargement of shape A to shape B?
Logan mows (L) lawns each week for 8 weeks. Eve mows 2 fewer lawns than Logan each week.
a. Write an expression that represents the number of lawns Eve mows in those 8 weeks.
b. Evaluate the expression from part (a) when (L) = 3. Interpret the result
c. Write an expression equivalent to the one from part (a) by using a tabular model.
d. If Logan mows 5 lawns each week, how many lawns does Eve mow in 8 weeks?
(Must show work)
a)
The expression that represents the number of lawns Eve mows in those 8 weeks is 8(L- 2)
b)
The value of the expression is 8.
c)
The tabular table is given above.
d)
Eve mowed 24 lawns in 8 weeks.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Logan:
Number of lawns each week = L
Number of lawns 8 weeks = 8L
Eve:
Number of lawns each week = )L - 2)
Number of lawns 8 weeks = 8(L- 2)
a)
The expression represents the number of lawns Eve mowed in those 8 weeks.
= 8(L -2)
b)
When L = 3,
8 (L - 2)
= 8 (3 - 2)
= 8 x 1
= 8
c)
Tabular table
Number of weeks Number of lawns
Logan x xL
Eve x x(L - 2)
d)
Logan:
Number of lawns in one week = 5
L = 5
Eve:
Number of lawns in 8 weeks.
= 8 (L - 2)
= 8 (5 - 2)
= 8 x 3
= 24
Thus,
a) 8(L- 2)
b) 8
c) Tabular table is given above.
d) Eve mowed 24 lawns in 8 weeks.
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East Middle’s football team has 20.9 liters of sports drink on the field during the game. Each player receives the same amount of sports drink.
If East Middle’s football team consists of 22 players, how much sports drink, in liters, does each player receive?
(Write the answer as a decimal to the nearest hundredth.)
Taking the quotient between the volume of sports drink and the number of players we will see that each player gets 0.95 liters.
How much sports drink, in liters, does each player receive?We know that East Middle’s football team has 20.9 liters of sports drink on the field during the game. Now we want to divide that evenly among all the players of the team, and we know that the team has 22 players.
Then we just need to take the quotient between these two numbers, it is:
20.9/22
We can rewrite that as:
(209/10)*(1/22)
(209/220)
Each player receives (209/220) liters of sports drink.
We can also simplify that as (209/220) liters = 0.95 liters.
Learn more about quotients at:
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Avery decides to take her puppy for a walk. After 90 feet, they stop to smell some roses. Then, Avery runs into a friend 200 yards up the road. They start talking, and soon it's time for Avery to go home. So, she and her puppy head back to her house. How many feet long was Avery's walk?
Answer:
Below
Step-by-step explanation:
90 feet + 200 yrads = 90 feet + 200 *3 feet = 690 feet EACH direction for a total of 690 * 2 = 1380 ft
Answer:
1380 ft long
Step-by-step explanation:
1. You would convert 200 yds to feet. (3ft in a yd so 600 ft.)
2. Add 600+90 to figure out how far she walked to her friend.
3. Double it because she walked the same distance to get home.