Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?
A cube has a surface area of 486 square meters. What is the volume of the cube.
What is the slope of the graph shown below?
Answer: The correct option is (A) 4.
Step-by-step explanation: We are given to find the slope of the graph shown in the figure.
We can see that the graph is a straight line.
Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]
We know the slope of a straight line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
Therefore, the slope of the given line is
[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]
Thus, the required slope of the graph is 4.
Option (A) is correct.
the Jackson family went out to dinner
the price of the meal was 43.45
the sales tax was 7% of the price of the meal
the tip was 15% of the meal and sales tax.
how much money did the smith family pay for the meal, including tax and tip?
Answer: Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
Step-by-step explanation:
Since we have given that
Price of the meal = 43.45
Rate of sales tax = 7%
Amount becomes after the sales tax is given by
[tex]\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915[/tex]
Rate of tips over meal and sales = 15%
Amount of tips is given by
[tex]\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974[/tex]
So, Amount becomes
[tex]46.4915+6.974\\\\=53.465\\\\=53.47[/tex]
Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.
how to solve this ? the question asked, the distance between two houses P&Q is 200 kilometer. Joe travel by car from P to Q at average speed of x km/h
a) write down an expression in terms of X for the number of hours he took to travel from P to Q.
b) he returned from Q to P at an average of (x + 5) km/h. write down an expression in terms of X for the number of hours he took to travel from Q to P
c) the total time he took to go from P to Q & to return from P to Q was 8 hours
Standard form............
The radius of a circle can be found by dividing the circumference of the circle by 6.28. What is the radius of a circle that has a circumference of 17.27 feet?
0.36 ft
2.75 ft
10.99 ft
2.58 ft
HELP ME!!
two numbers have a difference of 0.7 and a sum of 1 what are the numbers
A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?
Final answer:
To find how many hamburgers were sold, we set up an equation and solve for H, the number of hamburgers. After forming the equations, simplifying, and solving, it turns out that 325 hamburgers were sold on Tuesday.
Explanation:
The student is asking how many hamburgers were sold on Tuesday given that a total of 712 hamburgers and cheeseburgers were sold, with there being 62 more cheeseburgers sold than hamburgers. To solve this, we can set up an equation. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. According to the problem,
C = H + 62 and H + C = 712.
By substituting the first equation into the second, we get:
H + (H + 62) = 712
Simplifying, we have
2H + 62 = 712
Subtracting 62 from both sides, we get-
2H = 650
Dividing both sides by 2, we find -
H = 325
Therefore, 325 hamburgers were sold on Tuesday.
You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following: A summary of your argument. The summary should begin with the argument statement you chose. In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better. This summary can have a lot of opinion in it and should be persuasive and argumentative. A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites. Remember, you may gather ideas from research, but you must explain the ideas yourself.
In summary, an effective argumentative essay includes a clear thesis statement followed by logically structured reasons supported by a mix of well-researched evidence and personal knowledge, ensuring a persuasive and objective argument.
Students tasked with creating an argumentative essay must focus on developing a persuasive argument. The essay should begin with a summary of the argument that clearly states the main thesis. Following this, at least three reasons should be provided to support why the adopted approach is superior, using logical and persuasive evidence, such as statistics, expert opinions, and relevant examples. Contrary to this, the reasons why the alternative method is less effective should also be articulated. The Rule of 3 is a strategic approach where the contentions made to support an opinion are outlined in three clear points, enabling a structured and convincing argument to be presented.
To successfully make an argument in a position paper, it is crucial to provide a paragraph for each reason, starting with a clear topic sentence and backed by well-researched evidence. This can include research findings, personal knowledge, and a variety of evidence to ensure the argument is perceived as objective. An informal approach may also be used to frame the debate, maintaining relevance and ensuring engagement with the topic.
Finally, it's vital to use reliable resources to supplement the argument. A combination of research from credible sources and well-prepared reasoning constructs an objective and persuasive document that clearly distinguishes the author's ideas from those presented in the referenced texts.
macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters
Answer:
the awnser is 2
Step-by-step explanation:
if she makes more that 2 the 3rd one wont be an isosoceles triangle
A hot air balloon descends at a rate of 320 ft per minute for 3 minutes use integers to calculate represent the balloons total change in altitude
What is the domain of the square root function graphed below?
Answer:
x greater than or equal to 3
Step-by-step explanation:
got it right on quiz
What is the b in 8b=5.6
Two sides of an isosceles triangle have lengths of 6 inches and 15 inches, respectively. What is the length of the third side?
a $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
To calculate the balance in the account after 4 years, use the compound interest formula.
Explanation:To calculate the balance in the account after 4 years, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A is the balance after the specified time period
P is the principal amount (initial deposit)
r is the interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
In this case, the principal is $4,000, the interest rate is 5% (written as 0.05), the interest is compounded annually (n = 1), and the time period is 4 years (t = 4). Plugging in these values, we get:
A = $4,000(1 + 0.05/1)^(1*4)
A = $4,000(1.05)^4
A = $4,000(1.2155)
A ≈ $4,862.20
The balance in the account after 4 years is approximately $4,862.20.
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Need help with number 9 please, thanks.
What is the equivalent factored form of 12x^4-42x^3-90x^2
Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?
Answer: 6 centimeters
Step-by-step explanation: I took the test and got this answer correct :)
Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?
Answer:
Coefficient of n² is 3.
Step-by-step explanation:
Given : 4n³ + 3n² + 2n + 1.
To find : What is the coefficient of n².
Solution : We have given 4n³ + 3n² + 2n + 1.
Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Example : 4 in 4x² .
In 4n³ + 3n² + 2n + 1.
Coefficient of n² is 3.
Therefore, Coefficient of n² is 3.
Write a story problem to represent 5 divided by 1/4
The problem can be seen below, we will see that the quotient between the given numbers is 20.
How to write the problem?Here we want to divide 5 by 1/4.
An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).
How many pieces can you buy?
To solve this, we need to take the quotient between 5 and (1/4), this gives:
[tex]\frac{5}{1/4} = 20[/tex]
You can buy 20 pieces.
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Which expression is equivalent to i^233
Answer: the answer is i
Step-by-step explanation:
does 3/4 have the same value as the expression 4 ÷ 3 answer
anyone wants to help?
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
Final answer:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.
Explanation:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.
The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour. 1.Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.
When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?
The vertices of triangle ABC are A(−6,−3) and B(2,−3). Which coordinates of the third vertex allow the triangle to have an area of 24 square units?
The third vertex C of triangle ABC with vertices A(-6,-3) and B(2,-3) and area 24 square units can have coordinates (0,3) or (0,-9).
Explanation:
Given the vertices of triangle ABC are A(−6,−3) and B(2,−3). The coordinates of point C will form the third vertex of the triangle. The distance from A to B is the base of the triangle and can be calculated as follows: AB = sqrt[(2 -(-6))^2 + ((-3) - (-3))^2] = 8 units. The area of a triangle is calculated by the formula: 1/2*base*height=area. Given that the area of the triangle ABC is 24 square units, we can set up the following equation: 1/2*8*height=24. Solve for height to get the y-coordinate of point C as 6 units above the line AB (which lies on y = -3), for C(0,3) or 6 units below line AB for C(0,-9). Therefore, the third vertex C can be at coordinates (0,3) or (0,-9) for the triangle to have an area of 24 square units.
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i don’t know how to do this. can someone please help me :)