Let x be the number of bratwursts and y the number of hamburgers. Which system of inequalities represents this situation?
Evaluate the expression shown 8(12 +15)+4
Answer:
the answer is 220
Step-by-step explanation:
8 (12+15) +4
8(27+4
216+4
220
determine whether y varies directly with x. if so, find the constant k and write the equation x =6,18,54,162 y= 24,72,216,648
Answer:
y = 4x
k = 4
Step-by-step explanation:
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
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A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
PLEASE HELP!! 20 POINTS!!
What is 19 / 3/4?
Answer:
76/3
Step-by-step explanation:
Simplify the following:
19/(3/4)
Multiply the numerator of 19/(3/4) by the reciprocal of the denominator. 19/(3/4) = (19×4)/3:
(19×4)/3
19×4 = 76:
Answer: 76/3 or 25 1/3
Answer:
≅ 25.3
or
76/3
Explanation:
19 / 3/4
19 × 4/3
19/1 ×4/3
19 × 4 / 1 × 3
76 / 3
≅ 25.3 or 76/3
Please answer the question below
Thanks
The amount Nicole's mother owe her for babysitting is 9.48 dollars.
How to find the amount Nicole mother is owing after the order?She ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00.
Nicole's mother said that she would pay for the order on her credit card if Nicole gave her the money.
Nicole gave her mother $40.00 .
Her mother also applied the money that she owed Nicole for babysitting.
Nicole's mother then gave her back $5.26.
The amount Nicole's mother owe her for babysitting can be calculated as follows;
Therefore, the total amount for the order is
$9.75 + $29.99 + $15.00 = $54.74
let the money her mother owes her = x
Therefore,
x + 40 + 5.26 = 54.74
x = 54.74 - 40 - 5.26
x = 54.74 - 45.26
x = 9.48
Therefore, the amount Nicole's mother owe her for babysitting is 9.48 dollars.
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Bob Travled 60 miles every 1 hour he was on the road wich graph represents y the total number of miles driven x hours?
Answer:
Step-by-step explanation:
yeah im just going to send a picture
Answer:
7.011077.1127.001815Step-by-step explanation:
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
\( \frac{6}{uv } = \frac{8}{3} \)
uv=18/8
uv= 2.25
In a certain population body weights are normally distributed with a mean of 152 pounds and a standard deviation of 26 pounds. How many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? assume that we want 96% confidence that the error is no more than 3 percentage points.
To estimate the percentage of people who weigh more than 180 pounds in a population with a mean of 152 pounds and a standard deviation of 26 pounds.
In order to estimate the percentage of individuals in a certain population who weigh more than 180 pounds, it is necessary to determine an appropriate sample size. Using statistical methods, it has been determined that a sample size of 890 people is required to achieve a 96% confidence level with an error no greater than 3 percentage points.
This means that data can be gathered from this number of participants to estimate the percentage of people who weigh more than 180 pounds in the population with a greater degree of accuracy and confidence. Understanding the appropriate sample size necessary for statistical analysis is important in ensuring the reliability and validity of research findings.
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Find the tangent of angle Θ in the triangle below.
A. 7/7
B. 0
C. sqroot2
D. 1
E. 7/sqroot98
Answer:
The tangent of the angle is 1
Step-by-step explanation:
The solution is in the image
Work out the area of the shaded shape.
3cm
4cm
How many edges are there in the complete graph, Kn? • N(N+1)/2 • N(N-1)/2 (N2+1)/2 • (N2-1)/2
The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.
In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.
Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.
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what is the effect of the interaction of the number of pages and cover type on cost? (round your answers to four decimal places.)
To determine the effect of the interaction of the number of pages and cover type on cost, a statistical analysis would need to be performed using data on the number of pages, cover type, and cost. The analysis would likely involve running a regression model that includes both the number of pages and cover type as predictor variables, as well as an interaction term between the two.
To answer your question, the effect of the interaction between the number of pages and cover type on the cost can be determined through a step-by-step process:
1. Identify the base cost of each cover type (e.g., hardcover, paperback, etc.).
2. Determine the cost per additional page for each cover type.
3. Calculate the cost for a specific number of pages and cover type by adding the base cost and the cost of additional pages.
For example:
- Base cost for hardcover: $5.00
- Base cost for paperback: $3.00
- Cost per additional page for hardcover: $0.10
- Cost per additional page for paperback: $0.05
Now, let's say you want to find the cost of a 100-page hardcover book:
1. Start with the base cost of a hardcover: $5.00
2. Multiply the number of pages (100) by the cost per additional page for hardcover ($0.10): 100 * $0.10 = $10.00
3. Add the base cost and the cost of additional pages: $5.00 + $10.00 = $15.00
So, the cost of a 100-page hardcover book is $15.00.
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Name the multiplicative identity of -12i
Answer:
0
Step-by-step explanation:
The multiplicative identity of -12i is (1 + 0i) or 1.
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,
-12i
This is a complex number.
The multiplicative identity is the value when multiplied by the given value gives the same value.
Now,
(1 + 0i) x -12i = -12i
Thus,
1 + 0i or 1 is the multiplicative identity.
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what would be the sum and carry for this function on a truth table
Q = (X*2) + (Y/2) + Z
To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.
The given function is\(Q = (X*2) + (Y/2) + Z\)
Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3
From the truth table above, we can see that the sum of Q for all eight input combinations is 12.
To find the carry, we will need to determine the maximum output value for the given function.
We can observe that the highest output value is 3.5.
Therefore, there is no carry for this function since the highest output value is less than four.
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Tell whether the statement is always, sometimes, or never true.
The LCM of two different prime numbers is their product.
The statement is
true.
Perimeter: ___meters
Answer:
300
Step-by-step explanation:
the way to find perimeter is to add the numbers that are on the outside of the shape.
Answer: 300m
Step-by-step explanation: To find the Perimeter of the triangle or any shape, you need to add the length of the outside!
In this case, it is 104, 58, 138. Add all of them together you get 300m
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b) Simplify 2-(3-a) = -4
Answer:
-1+a
Step-by-step explanation:
2-(3-a) = (2-3-(-a)) = -1+a
Answer:
a=-3
Step-by-step explanation:
First off subtract 2 from both sides:
-(3-a)=-6
Then distribute the negative:
-3+a=-6
Finally add 3 to both sides:
a=-3
tadah!!
Hope that helps.
What is the surface area of this triangular prism?
6.5 ft
6 ft.
11 ft
5 ft
The surface area of this triangular prism is 258 square units
Calculating the surface area of this triangular prismGiven parameter is
The triangular prism
The surface area of triangular prism is calculated as
Surface area = Perimeter * Length + 2 * Base area
Using the given dimensions, we have
Surface area = (5 + 6.5 + 6.5) * 11 + 2 * 5 * 6
Evaluate
Surface area = 258
Hence, the surface area is 258 square units
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You will be answering by filling in the blanks. Please be aware that your answer must include any commas or
decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the
answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers,
commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that
$986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90.
13. Your fixed expenses are $834.02/month. You save 5 months' worth in an emergency fund over
a year's time. How much did you save per month?
S
/month
(1 point)
As the fixed costs are $834.02/month and saving for 5 months, there is a savings of $166.80/month.
what is unitary method ?In order to address problems involving ratios and proportions, the unitary method is a methodology that entails identifying a single unit of value or quantity. It is especially helpful for finding solutions to issues concerning rates, costs, and measurements. Finding the value of a single unit of a given quantity and using that value to determine the value of any additional quantity that is proportional to it is the fundamental tenet of the unitary approach. Many issues, including those in mathematics, science, economics, and engineering, can be resolved using the unitary technique.
given
fixed expenses = $834.02/month
$834.02/ month ÷ 5 months = $166.804/ month ≈ $166.80/ month
So, S = $166.80/month.
As the fixed costs are $834.02/month and saving for 5 months, there is a savings of $166.80/month.
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PQ and RS are two lines that intersect at point T, as shown below: Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent. Which statement is used to prove that angle PTR is always equal to angle STQ? (1 point) Lines PQ and RS do not have a fixed length. Angle PTR and angle PTS are supplementary angles. Lines PQ and RS intersect at an angle less than a right angle. Angle PTR and angle PTS are complementary angles.
The statement that is used to prove the congruence of angles PTR and STQ is given by:
Lines PQ and RS intersect at an angle less than a right angle.
What are congruent angles?Congruent angles are angles that have the same measure.
One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.
The common vertex in the segment given at the end of the answer is of:
T.
The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
32 yd
14 yd
cubic yards
Answer:
11253.76
Step-by-step explanation:
GIven Information;
Height = 14 yd
Diameter = 32 yd
Note;
Radius = d/2
Since Radius = d[Diameter] /2 then 32/2 = 16 yd
Solve;
Volume of cylinder formula;
= \(\pi r^2h\)
Using = 3.14
\((3.14) (16^2)(14)\)
\(\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96\)
\(=16^2\cdot \:43.96\)
\(=256\cdot \:43.96\)
\(\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76\)
\(=11253.76\)
[RevyBreeze]
Answer:
\(\huge\boxed{\sf 11253.76\ yd^3}\)
Step-by-step explanation:
Height = h = 14 yd
Diameter = d = 32 yd
Radius = d/2 = 32/2 = 16 yd
Volume of cylinder:
\(= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}\)
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
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Answer:
62 Degrees
Step-by-step explanation:
65 8/10 - 14 7/10 = 51 1/10
51 1/10 + 10 9/10 = 62
you want to lunch with your friend, and the bill was $19.00. your lunch is $3.00 more than your friend's. how much was your friend's lunch? write and solve equation
Answer: $11
Step-by-step explanation:
Let's say that your friend's lunch costs x dollars, that means your's cost 19 - x dollars because of the first statement. From the second statement, we can make the equation
19 - x = 3 + x
19 + 3 = x + x
22 = 2x
2x = 22
x = 22 ÷ 2 = 11
So your friend's lunch costs 11 dollars
At the college bookstore, used books sell for 35% less than new books. If Johanna's new science book cost $65, how much would the same book cost if it were used?
11. Two people are running around an oval track. They leave the starting point together. One completesthe track every 28 minutes. The second completes the track every 35 minutes. How long will it takefor them to both pass the starting point at the same time, if they both continue to run?
ANSWER
140 minutes
EXPLANATION
To find how long will it take for them to both pass the starting point at the same time, if one person completes the track in 28 minutes and the other completes it in 35 minutes, we have to find the lowest common multiple (LCM) of these two numbers.
To find the LCM, we can use the prime factorization method. First, write the prime factors of both numbers,
\(\begin{gathered} 28:2\times2\times7 \\ 35:5\times7 \end{gathered}\)Then, multiply all the prime factors as many times as they occur most often. If a factor occurs the same number of times in both numbers, then we only write it once. In this case,
\(LCM=2\times2\times5\times7=140\)Hence, it will take 140 minutes for both runners to pass the starting point at the same time.
For the function with the greatest rate of change, what is the value when x = 10
It's 28.
So first, you need to calculate the rate of change, or slope, for each of the equations. You also need to put each of them into equation form, using the y=mx+b formula, but you can't do that without knowing the slope, or rate of change. Please note, the rate of change in this answer will be referred to as slope and the initial value will be referred to as y-intercept.
For the first one, the equation is already written for you. The slope in the equation is 5/2, or 2.5 in decimal form.
For the second one, we start at knowing 0=1, so the y intercept is 1. So then we see that 1=3/2, or 1.5 in decimal form. So, we just find the difference between 1 and 1.5, which is 0.5. We can now write our equation, y=0.5x+1.
The third one is the hardest one to calculate. We see the initial value, or the y intercept is 2. So far we have y=mx+2. Now, we have to figure out the slope, or rate of change. So, we see that 0=2. Now, let's look at another point in the graph. We'll do 2,5 since it is a clear point. So, here, the y value is 5. Let's subtract 5-2, and we get 3. However, we are not done. Because we chose a clear point in the graph to compare, we jumped 2 x spaces ahead, not one. So, now we divide by 2 to equal that out. So, 5/2=1.5. The slope is 1.5. Now, we have our equation, y=1.5x+2.
Now, we just compare our slopes, or rate of change to each other to find the greatest. We have 2.5, 0.5 and 1.5. 2.5 is the greatest. That was the first one. Now, it is asking us what the y value would be if x equals 10. So, we can just plug in 10 where x is in the equation. So, y=10x2.5+3. 10x2.5=25 and then plus 3 is 28. So, that is your answer.
I hope this helps you answer the problem.