1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
For similar question on regulations.
https://brainly.com/question/29618671
#SPJ11
For a trip of x miles, a taxi company charges f(x)=2. 20+0. 6[4x] dollars A. ) What is the cost of a 2. 7-mile trip?
If a taxi company charges f(x)=2. 20+0. 6[4x] dollars, the cost of a 2.7-mile trip is $8.68.
To find the cost of a 2.7-mile trip using the given function f(x) = 2.20 + 0.6[4x], we substitute x = 2.7 in the function.
f(2.7) = 2.20 + 0.6[4(2.7)]
f(2.7) = 2.20 + 0.6[10.8]
f(2.7) = 2.20 + 6.48
f(2.7) = 8.68
The function f(x) = 2.20 + 0.6[4x] represents the cost of a taxi ride based on the distance traveled. The first term 2.20 represents the base fare, which is added to the cost regardless of the distance.
The second term 0.6[4x] represents the variable cost, which is calculated by multiplying the distance traveled by 4 and then by 0.6. This function helps the customers to calculate their fare in advance and plan their expenses accordingly.
To learn more about costs click on,
https://brainly.com/question/13598497
#SPJ4
MULTIPLE CHOICE QUESTION
True or False: Involuntary deductions
from a person's gross pay go to their
employer.
False. Taxes and Social Security contributions are not deducted from a expressions person's total compensation and do not go to their employer.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
False. Taxes and Social Security contributions are not deducted from a person's total compensation and do not go to their employer. They are instead often paid to government agencies or other approved beneficiaries.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
Find the value of a in quadrilateral ABCD.
C
(11x + 140)*
D (13x + 143)
(4x +98)
(11z +135)
A
B
The value of x for the angles of the quadrilateral is: x = -4
How to find the angles in a quadrilateral?We know that the sum of angles in a quadrilateral is 360 degrees.
The angles are given as:
(11x + 140)°
(13x + 143)°
(4x + 98)°
(11x + 135)°
Thus:
(11x + 140)° + (13x + 143)° + (4x + 98)° + (11x + 135)° = 360°
Thus:
39x + 516 = 360
39x = 360 - 516
39x = -156
x = -156/39
x = -4
Read more about Angles in a quadrilateral at: https://brainly.com/question/16941531
#SPJ1
I draw two cards from a well-shuffled deck, without replacement. What is the probability that I will draw two aces?
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:
First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:
P(Ace on first draw) = 4/52 = 1/13
Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:
P(Ace on second draw given an ace on first draw) = 3/51
To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:
P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)
P(Drawing two aces) = (1/13) x (3/51)
P(Drawing two aces) = 0.0045 or approximately 0.45%.
For similar question on probability.
https://brainly.com/question/12627473
#SPJ11
Please help me please help me please help me please help, please help
A cone has a height of 13 yards and a radius of 12 yards. What is its volume? Use л ~ 3.14 and round your answer to the nearest hundredth.
Please help me
The volume of the cone is 1960.64 cubic yards.
We have,
The formula for the volume of a cone is:
V = (1/3)πr²h
where π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 12² x 13
V = (1/3) x 3.14 x 144 x 13
V = 1/3 x 3.14 x 1872
V = 1960.64
Rounding to the nearest hundredth, we get:
V = 1960.64
Therefore,
The volume of the cone is 1960.64 cubic yards.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ1
P1 = (__ + P2)/(1 + R)
This is the formula for calculating the present value of a future payment, where P1 is the present value, P2 is the future payment, and R is the interest rate.
To use the formula, you need to know the value of P2, the future payment, and the interest rate, R. Then, you can solve for P1, the present value of that payment. The formula works by discounting the future payment to account for the time value of money, which means that money today is worth more than the same amount of money in the future.
Learn more about present value,
https://brainly.com/question/17322936
#SPJ4
URGENT - Will also give brainliest to simple answer
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. In how many ways can she arrange all 6 tables? Show your work. If she only wants to have 4 of the tables set up, in how many ways can she choose the tables she wishes to have set up? Show your work.
Answer:
Step-by-step explanation:
1.To arrange all 6 tables in a line, we can use the factorial function which calculates the product of all positive integers up to a given number. We can write:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, there are 720 ways to arrange all 6 tables in a line.
2.To choose 4 out of the 6 tables, we can use the combination function, which calculates the number of ways to choose k items out of n distinct items, without regard to their order. We can write:
C(6,4) = 6! / (4! x 2!) = (6 x 5 x 4 x 3) / (4 x 3 x 2 x 1) = 15
Therefore, there are 15 ways to choose 4 out of the 6 tables.
There are 720 ways to arrange all 6 tables in a line.
And, there are 15 ways to choose 4 out of the 6 tables.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom.
Now, After arrange all 6 tables in a line, we can use the factorial function which calculates the product of all positive integers up to a given number. We can write:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Hence, there are 720 ways to arrange all 6 tables in a line.
And, For choose 4 out of the 6 tables, we can use the combination function, which calculates the number of ways to choose k items out of n distinct items, without regard to their order. We can write:
⁶C₄ = 6! / (4! x 2!)
= (6 x 5 x 4 x 3) / (4 x 3 x 2 x 1)
= 15
Thus, there are 15 ways to choose 4 out of the 6 tables.
Learn more about the combination visit:
brainly.com/question/28065038
#SPJ2
You and two friends are splitting a pizza. You take`\frac{1}{3}`of the pizza. How much of the pizza is left?
Answer:
2/3 pizza is left!
Step-by-step explanation:
You take 1/3 from a whole pizza (3/3), leaving 2/3 for ur 2 buddies :D
The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain your answer.
WILL GIVE BRAINLIST
By calculating the CDF of normal distribution, the percentage of scores that are greater than 90 are 14.6%.
The CDF function of a Normal distribution is calculated by translating the random variable to the Normal Standard, and then looking up a value from the precalculated "Phi" function (Φ), which is the cumulative density function of the normal standard. The Normal Standard, often written Z, is a Normal with mean 0 and variance 1. Thus, Z∼N(μ=0,σ²=1).
Let x1, x2, .... be the scores on the test.
X ~ N (82, 64)
P(90 < X < 100) = Φ(18/8) - Φ(1) = 0.146 (using norm.s.dist function in excel)
Step-by-step explanation:
cores Distribution and Percentile
The scores on a test are normally distributed, with a mean of 82 and a standard deviation of 8. What percent of scores are less than 90? Explain
To find the percentage of scores that are less than 90 in a normally distributed test with a mean of 82 and a standard deviation of 8, we can use the cumulative distribution function (CDF) of the normal distribution.
The CDF of a normal distribution gives the probability that a random variable falls below a particular value. In this case, we want to find the probability that a score is less than 90.
The formula for the CDF of a normal distribution is:
CDF(x) = (1/2) * (1 + erf((x - μ) / (σ * sqrt(2))))
where erf is the error function, μ is the mean, σ is the standard deviation, and x is the value we want to find the cumulative probability for.
Plugging in the given values:
μ = 82
σ = 8
x = 90
We can calculate the cumulative probability using the formula:
CDF(90) = (1/2) * (1 + erf((90 - 82) / (8 * sqrt(2))))
Using a calculator or statistical software that provides the error function, we can find that erf(1.0) is approximately 0.6827.
Plugging this value back into the formula, we get:
CDF(90) = (1/2) * (1 + 0.6827) = 0.8414
So, the cumulative probability that a score is less than 90 is approximately 0.8414, or 84.14%.
Therefore, about 84.14% of the scores are less than 90 in this normally distributed test.
A particle moves along the y-axis so that at time t≥0 its position is given by y(t)=t3−6t2+9t. Over the time interval 0
Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.
To find the maximum displacement, we need to first determine the particle's velocity and acceleration.
The velocity of the particle is given by the derivative of its position function:
[tex]v(t) = y'(t) = 3t^2 - 12t + 9[/tex]
The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12
Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.
This occurs when its velocity is zero:
[tex]3t^2 - 12t + 9 = 0[/tex]
Simplifying this equation, we get:
[tex]t^2 - 4t + 3 = 0[/tex]
This quadratic equation factors as:
(t - 1)(t - 3) = 0
So the particle comes to rest at t = 1 or t = 3.
Next, we need to determine whether the particle is at a maximum or minimum at each of these times.
To do this, we look at the sign of the acceleration:
When t = 1, a(1) = 6(1) - 12 = -6, which is negative.
Therefore, the particle is at a maximum at t = 1.
When t = 3, a(3) = 6(3) - 12 = 6, which is positive.
Therefore, the particle is at a minimum at t = 3.
Finally, we need to find the displacement of the particle at each of these times:
[tex]y(1) = 1^3 - 6(1)^2 + 9(1) = 4[/tex]
[tex]y(3) = 3^3 - 6(3)^2 + 9(3) = 0.[/tex]
For similar question on displacement.
https://brainly.com/question/1581502
#SPJ11
Please solve these two equations by writing them in standard form helppppp ASAP
The equation in standard form is (x- (-12))² + (y - 0)² = (√164)²
How to write the equation of a circle in standard form?The standard form of the equation of a circle is
(x-a)² + (y-b)² = r²
where (a, b) is the center and r is the radius
Using the completing square method on the given equation:
24x + y² = -x² + 20
x²+ 24x + y² = 20
[x² + 24x + (12)²] + [y² + 0x + (0)²] = 20 + (12)²
(x + 12)² + (y + 0)² = 164
(x - (-12))² + (y - 0)² = 164
(x- (-12))² + (y-0)² = (√164)²
Learn more about equation of a circle on:
brainly.com/question/150695
#SPJ1
PLS HELP 30 PTSS
FOOL ANSWERS WILL BE REPORTED AND GOOD WILL BE GAVE BRAINLYEST
Answer: 59 degrees
Step-by-step explanation:
A triangle has a total of 180 degrees so we subtract that by the values we already know the get the last angle.
180-31-90= 59 degrees
Write an equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3.
y=-1/2x-1 is equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3.
The slope of given line is 2
The slope of perpendicular line is -1/2
Now let us find the y intercept
1=-1/2(-4)+b
1=2+b
b=-1
Now the equation is y=-1/2x-1
Hence, equation of the line that passes through (-4, 1) and is perpendicular to the line y = 2x + 3 is y=-1/2x-1.
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ1
The grid you see below is in the shape of a rectangle. What is the area, in square
units, of the shaded part?
Answer:
12 square units
Step-by-step explanation:
interior angles of rectangles are right angles
Area of the triangle: 6 x 4 / 2
What are the possible values of x if 52 ÷ (|x|+8) = 4?
O {-21, 21}
O {-13, 13}
O {-11, 11}
O {-5,5}
Answer:
First, we can multiply both sides of the equation by the absolute value of x plus 8, to get rid of the fraction:
52 = 4(|x| + 8)
Now we can solve for the absolute value of x:
| x | + 8 = 13
| x | = 5
This means that x could be either positive 5 or negative 5. Therefore, the possible values of x are {-5, 5}.
So the answer is option D: {-5, 5}.
How do solve 2,125x365
Use a calculator to solve this problem!
Answer:
Step-by-step explanation:
775625 is the correct answer
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
For similar question on parameter:
https://brainly.com/question/12393177
#SPJ11
What is the answer to the question 233x4
20 POINTS!!!!!!!
For what value of x must the quadrilateral be a parallelogram?
5x
X =
28
(3x+28)
work:
APR
12
!!!
tv
SA
C
15PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Option a. The car is 115.47 feet from the building is correct for the given right triangle.
What is law of sines?A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:
If a/sin(A) = b/sin(B) = c/sin(C), then
If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.
The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.
Now,
tan(30) = opposite/adjacent = 200/distance
distance = 200/tan(30) ≈ 115.47 feet
Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.
Learn more about law of sines here:
https://brainly.com/question/17289163
#SPJ1
pls help me quickly ill mark brilientest
The volume of the cylinder below is 5595.48 in².
What is volume?Volume is the space accuppied by a solid shape.
To calculate the volume of the cylinder, we use the formula below
Formula:
V = πr²h..................... Equation 1Where:
V = Volume of the cylinderr = Radius of the cylinderh = Height of the cylinderFrom the question,
Given:
r = 9 inh = 22 inπ = 3.14Substitute these values into equation 1
V = 3.14×9²×22V = 5595.48 in²Learn more about volume here: https://brainly.com/question/1972490
#SPJ1
System analysts define an object's attributes during the systems design process. true or false?
The statement "System analysts define an object's attributes during the systems design process" is true because defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.
In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.
For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.
Learn more about Object-oriented design here
brainly.com/question/28731103
#SPJ4
I need some help please
yes very cool math problem
1. a small electronics store has begun to advertise in the local newspaper. before advertising, the long-term average weekly sales were $9,820. a random sample of 50 weeks while the newspaper ads were running gave a sample mean weekly sales of
The null hypothesis is that the population mean weekly sales are $9820. The alternate hypothesis is that they are greater than $9820. The calculated t-value is 7.45, which is greater than the critical value of 1.677. Therefore, we reject the null hypothesis and conclude that the population mean weekly sales are higher than $9820.
To test whether the population mean weekly sales have increased after advertising, we can use a one-sample t-test.
The null hypothesis is that the population mean weekly sales have not increased, which means the population mean is still $9820:
H0: μ = $9820
The alternative hypothesis is that the population mean weekly sales have increased, which means the population mean is greater than $9820:
Ha: μ > $9820
The significance level is 0.05, so we need to calculate the critical value of t for a one-tailed test with 49 degrees of freedom (n-1), which is 1.677.
To calculate the test statistic, we can use the formula:
t = (X - μ) / (s / √n)
Where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Given that the sample mean is X = $10960, the hypothesized population mean is μ = $9820, the sample size is n = 50, and the population standard deviation is θ = $1580, we can calculate the sample standard deviation:
s = θ / √n = $1580 / √50 = $223.61
Now we can calculate the test statistic:
t = (X - μ) / (s / √n) = ($10960 - $9820) / ($223.61 / √50) = 7.45
Since the calculated t-value (7.45) is greater than the critical t-value (1.677), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population mean weekly sales have increased after advertising.
Therefore, we can infer that the advertising campaign in the local newspaper has been effective in increasing the sales of the electronics store.
To know more about Null hypothesis:
https://brainly.com/question/28920252
#SPJ4
--The given question is incomplete, the complete question is given
" a small electronics store has begun to advertise in the local newspaper. before advertising, the long term average weekly sales $9820. a random of 50 weeks while the newspaper ads were running gave a sample mean weekly sale of x = $10960. Does this indicate that the population mean weekly sales is now more than $9820? test at the 5% level of significance. Assume theta = $1580.
A. state the null and alternate hypothesis.
B. Compute the or t va;ue of the sample test statistic.
C. Find the critical value(s).
D. based on the answers to a-c, what is your conclusion?"--
find the intercepts of the graph of y=x^2-25
The intercepts of the graph of y = x²- 25 are (-5, 0), (5, 0), and (0, -25).
What is the use of graph in maths?Data can also be presented as a table. However, when the information is presented graphically, it is much easier to understand. There are many types of charts and each of them serves specific purposes in different fields.
To find the x-intercepts of the graph, we need to set y = 0 and solve for x:
0 = x²- 25
Adding 25 to both sides gives:
25 = x²
Taking the square root of both sides gives us:
x = ±5
So the x-intercepts are (-5, 0) and (5, 0). To find the y-intercept, we need to set x = 0 and solve for y:
y = 0²-25
y = -25
So the y-intercept is (0, -25).
Therefore, the intercepts of the graph of y = x² - 25 are (-5, 0), (5, 0), and (0, -25).
Learn more about Graph here
https://brainly.com/question/17267403
#SPJ1
number 1 i need help with please
The volume of the cube is 1.82 in³
How to find the volume of the cube?We know that the formula for the area of the cube, as a function of the volume, is:
A = 326*V^(2/3)
Solving that equation for V, we will get.
V = (A/326)^(3/2)
Then the volume of a cube whose surface area is A = 486 square inches is:
V = (486 in²/326)^(3/2)
V = 1.82 in³
Learn more about volume at:
https://brainly.com/question/1972490
#SPJ1
4/7+1/4 in its simplest form
A jar contains marbles that are green, red or blue,
1/6 of the marbles are red
1/3 of the marbles are blue
Given that there are 18 green marbles in the jar,
work out how many are blue,
Answer:
36
Step-by-step explanation:
Given:
1/6 of the marbles are red
1/3 of the marbles are blue
There are 18 green marbles in the jar
We can set up the following equations based on the given information:
Number of red marbles = 1/6 * x
Number of blue marbles = 1/3 * x
Number of green marbles = 18
Since the total number of marbles in the jar is "x", we can write the equation for the sum of all the marbles as:
(Number of red marbles) + (Number of blue marbles) + (Number of green marbles) = x
Substituting the values from the given information:
1/6 * x + 1/3 * x + 18 = x
Multiplying through by 6 to eliminate the fraction:
x/6 + 2x/6 + 18 = 6x/6
x + 2x + 108 = 6x
Combining like terms:
3x + 108 = 6x
Subtracting 3x from both sides of the equation:
3x + 108 - 3x = 6x - 3x
108 = 3x
Dividing both sides by 3 to solve for x:
108/3 = 3x/3
36 = x
Joe wants to answer the with a river. He marks off two right triangles as shown in the figure. The base of the larger triangle has a length of 55 M and the base of the smaller triangle has a length of 26 m. The height of the smaller triangle is 21.4m. How wide is the river? Round your answer to the nearest meter. (The figure is not drawn to scale)
The width of the river is approximately 45m.
How to calculate the width of the river?Let's say the illustration may be explained as follows:
The big right triangle is located inside the river, with its base extending down one of its sides and its height spanning its breadth.
The base of the little right triangle lies on the opposite bank of the river, outside of it.
Triangles don't cross over one another. Their bases' endpoints contact, as does the end of their hypotenuses.
Let's assume the two right triangles are similar (which means they have proportional sides).
H1/B1 = H2/ B2
which is H1/55 = 21.4/26
=21.4/26 x 55
= 45.27
It is the larger triangle is the width of the river
If the smaller triangle represents the land on one side of the river and the larger triangle includes both the land and the river, we need to find the width of the river by subtracting the base of the smaller triangle from the base of the larger triangle:
Width of the river = 55 - 26 = 29 meters
Find more exercises on calculating width;
https://brainly.com/question/26144873
#SPJ1