Translate to an algebraic expression. The sum of twice m and three times n is identical to twenty
Answer:
2m+3n=20
Step-by-step explanation:
Can Someone please help me on this? I will mark brainliest
Answer:
It is proportional and the constant of proportionality is 5/9
Step-by-step explanation:
If a function is proportional it is in the form
y = kx
Since this is in the form
y= kx
y = 5/9 x
It is proportional and the constant of proportionality is 5/9
What is the slope of the line that contains the points (-6, 1) & (4, -4)
13x - 5y = 195 what is y intercept and what is x intercept and what is the slope
Answer:
x intercept: (15,0)
y intercept: (0, -39)
slope: 13/5
Step-by-step explanation:
The attachments below is the slopes and x and y intercept
Hope this helps (:
The value 2,000 is decreased to 100. What is the percent decrease?
percent decrease =
Answer:
PD = 95%
Step-by-step explanation:
(2,000 - 100) / 2,000 times 100
( (original - new) ) / original times 100
= 1,900 / 2,000 times 100
= 0.95 times 100
= 95% decrease
what does what does this mean in math guys.?
Answer:
less than or equal to
Step-by-step explanation:
is used when a number cannot be bigger than a number, can be smaller or equal to
Answer:
Less than or equal to.
Step-by-step explanation:
So if I had 5 ≤ Z then Z is either the same thing as 5 or less than it.
Welp what’s the slope of all of theses?
Answer:
dark blue = -2
orange and green = 2
red = 1/2
Step-by-step explanation:
answer this question for a bonus 100 points Write the following statement in if-then form. "All freshman are required to attend orientation."
(If you answer this question correctly i'll post a bonus 100 point question right after this one)
Answer:
If you are a freshman, then you are required to attend orientation
Step-by-step explanation:
The if part is the given part
The then part is what is going to happen
If you are a freshman, then you are required to attend orientation
HELPPPP URGENT !!!!bdjxjdjf
Answer:
y＝1/7x+4
Step-by-step explanation:
You just put either x or y inside,then you could get the answer.
Please let my answer as brainest
What is the scale factor from polygon ABCD to polygon PQRS?
(if your answer is a fraction use the / symbol as your fraction bar or type it as a decimal)
Answer: 1.5 should be your answer. Not 100% sure.
The scale factor from polygon ABCD to polygon PQRS is 1.5.
What is the scale factor?The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.
The scale factor is the ratio of sides of any figure
Scale factor = side of new polygon / side of the old polygon
Scale factor = PS/AD
Scale factor = 3/2 = 1.5
Hence "The scale factor from polygon ABCD to polygon PQRS is 1.5".
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A facility complex where there are 5 existing department (D1, D2, D3, D4, D5) around a central courtyard or circulation space area for material handling and setup and storage. Two new facilities (F1 and F2) to serve the 5 departments are going to be located at two of the 3 points {A, B, C} in the courtyard. You wish to find the location of F1 and F2 that minimizes the total distance traveled in two-way trips to and from the existing departments. The number of two-way trips per day is (20, 5, 10, 5, 15) and (20, 20, 10, 0, 8) for F1 and F2, respectively. Assume that travel is initiated from the central location of the departments, as indicated by their coordinates: Department (x, y): D1 (1, 7), D2 (7, 12), D3 (15, 7), D4 (12, 2), D5 (4, 3). Point (x, y): A (6, 8), B (10, 8), C (7, 5). The rule to locate the facility is: each facility can only be located to one point; each point can only locate one facility. The worst case is:
1 F1 to A, and F2 to B
2 F2 to A, and F1 to B
3 F1 to C, and F2 to B
4 None of them
5 F1 to B, and F2 to C
After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
To determine the worst-case scenario that minimizes the total distance traveled in two-way trips to and from the existing departments, we need to calculate the total distance for each possible combination of facility locations (F1 and F2).
Let's calculate the total distance for each scenario:
F1 to A, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to A) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
F2 to A, and F1 to B:
Total distance = distance(D1 to F2) + distance(F2 to A) + distance(D2 to F1) + distance(F1 to B) + distance(D3 to F1) + distance(D4 to F1) + distance(D5 to F2)
Calculate the distances using the coordinates provided and sum them up.
F1 to C, and F2 to B:
Total distance = distance(D1 to F1) + distance(F1 to C) + distance(D2 to F2) + distance(F2 to B) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
None of them (No facility locations specified)
F1 to B, and F2 to C:
Total distance = distance(D1 to F1) + distance(F1 to B) + distance(D2 to F1) + distance(F2 to C) + distance(D3 to F2) + distance(D4 to F2) + distance(D5 to F1)
Calculate the distances using the coordinates provided and sum them up.
After calculating the total distances for each scenario, we can compare them to find the worst-case scenario that minimizes the total distance traveled. The scenario with the smallest total distance will be the best option.
Please note that to calculate the distance between two points, you can use the Euclidean distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Perform the calculations for each scenario to determine the worst-case scenario that minimizes the total distance traveled.
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Question 5 (1 point)
The Hurricane band is selling hats, masks, and t-shirts to raise money for new uniforms. Jose purchased 2 hats, 3 masks, and 1 t-shirt for
$50. Hannah purchased 1 hat, 2 masks, and 2 t-shirts for $50. Amarria purchased one of each item for $30. What is the price of each
individual item?
Answer:
The price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.
Step-by-step explanation:
A system of equations is a set of two or more equations with several unknowns in which you want to find a common solution.
In other words, a system of linear equations is a system of equations in which each equation is linear. A solution of a system is an assignment of values for the unknowns that makes each of the equations is true, so solving a system means finding all the solutions of the system.
In this case you apply a system of equations. So you first determine the system variables:
x: price of hats. y: price of the masks. z: price of t-shirts.You know that Jose purchased 2 hats, 3 masks, and 1 t-shirt for $50. This is:
2*x + 3*y + 1*z=50 Equation (A)
You know that Hannah purchased 1 hat, 2 masks, and 2 t-shirts for $50. This is:
1*x + 2*y + 2*z=50 Equation (B)
You know that Amarria purchased one of each item for $30. This is:
1*x + 1*y + 1*z=30 Equation (C)
The system of equations is formed by equations (A), (B) and (C).
The method of reduction consists of adding (or subtracting) the equations to each other to eliminate one of the unknowns. Sometimes, it is necessary to multiply the equations by some number so that, when adding them, one of the unknowns disappears.
In this case you apply the method to calculate the value of z. Subtracting (A) - (B) - (C) you get:
(2-1-1)*x + (3-2-1)*y + (1-2-1)*z= 50-50-30
Solving:
0*x + 0*y + (-2)*z=-30
(-2)*z=-30
[tex]z=\frac{-30}{-2}[/tex]
z=15
Remembering that z represents the price of the t-shirts, then each has a value of $ 15.
Replacing the value of z in equation (A):
2*x + 3*y + 1*15=50
you get:
2*x + 3*y= 50 - 15
2*x + 3*y=35 Equation (D)
Replacing the value of z in equation (B):
1*x + 2*y + 2*15=50
1*x + 2*y + 30= 50
1*x + 2*y= 50- 20
1*x + 2*y= 20 Equation (E)
The substitution method consists of choosing an equation and solving one unknown in terms of the other unknown. Then you must substitute the expression found in the other equation, to obtain an equation with an unknown, and then solve that unknown. Finally, you substitute the value found in the previously found expression to solve for the remaining unknown.
Solving for the variable x from Equation (E) you get:
x= 20- 2*y Equation (F)
Replacing in Equation (D), you get:
2*(20-2*y) + 3*y=35
Solving:
2*(20) + 2*(-2)*y + 3*y= 35
40 - 4*y + 3*y=35
- 4*y + 3*y=35 - 40
(-1)*y= -5
[tex]y=\frac{-5}{-1}[/tex]
y=5
Remembering that y represents the price of the masks, then each has a value of $ 5.
Finally, replacing the value of y in equation (F) you get:
x=20 - 2*5
x= 20-10
x=10
Remembering that y represents the price of the hats, then each has a value of $ 10.
In summary, the price of the hats is $ 10, the price of the masks is $ 5 and the price of the T-shirts is $ 15.
an item has a listed price of $80 if the sales tax rate is 3% how much is the sales tax in dollars
Answer:
$2.40
Step-by-step explanation:
3 percent * 80 =
(3:100)* 80 =
(3* 80):100 =
240:100 = 2.4
linda is at the beach flying a kite. the kite is directly over a sand castle 60ft away from linda.
Answer:
That's cool.
Step-by-step explanation:
Are the triangles similar? Explain why or why not
Answer:
Two triangles are similar if they have:
Step-by-step explanation:
all their angles equal
corresponding sides are in the same ratio
But we don't need to know all three sides and all three angles ...two or three out of the six is usually enough.
There are three ways to find if two triangles are similar: AA, SAS and SSS:
is there anyone that could help me with this
Answer:
Brainliest for answer
Step-by-step explanation:
Find the distance between these points.
W(-6, -8), X(6, 8)
Answer:
The distance is equal to 20
A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the length L and width W (with W lessthanorequalto L) of the enclosure that is most economical to construct. L = ____W =___
The most economical dimensions for the fence are approximately L ≈ 17.8885 feet and W ≈ 17.8885 feet, resulting in the minimum total cost of the fence.
To find the dimensions that result in the most economical construction of the fence, we need to minimize the total cost of the fence.
Let's assume the length of the enclosure is L and the width is W. Since the area of the enclosure is given as 320 square feet, we have the equation:
L * W = 320
We are given that the material for three sides costs $6 per foot, and the material for the fourth side (length) costs $13 per foot. The total cost of the fence can be calculated as:
Cost = 3 * (L + W) * 6 + L * 13
Simplifying this equation, we have:
Cost = 18L + 18W + 13L
Cost = 31L + 18W
To find the most economical dimensions, we need to minimize the cost. Since W ≤ L, we can rewrite the equation in terms of W:
Cost = 31L + 18W = 31(W + W) + 18W = 49W + 31W = 80W
To minimize the cost, we need to minimize W. However, W must satisfy the equation L * W = 320.
We can find the minimum value of W by finding the positive square root of 320 and then finding its reciprocal:
[tex]W = \frac{1}{\sqrt{320}} \approx 0.05634[/tex]
Since W must be less than or equal to L, we can set W equal to the square root of 320:
[tex]W = \sqrt{320} \approx 17.8885[/tex]
Therefore, the most economical dimensions are:
L ≈ 17.8885
W ≈ 17.8885
Please note that the dimensions are approximate due to rounding.
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What is the equation of the linear function represented by the table
Answer:
first one
just take one point and replace one each equation to se which is the right one
so
first point (-5,14)
on the first equation
14= - (-5)+9 is true
A. Write true or false after each sentence. If the sentence
is false, change the word in parentheses or words to make
it true.
1. To find the ( Median), order a set of data from least to greate
Then choose the middle number.
2. The (median) is the number that appears most often in a d
3. The (maximum) is the largest number in a set of data.
4. The (rang) is different between the minimum and maximum value in set of data.
5. For positive correlation the data in two sets (decrease) together.
6. The (minimum) is the smallest number in a set of data.
1. To find the ( Median), order a set of data from least to greate then choose the middle number. True
2. The (mode) is the number that appears most often in a d. True
3. The (maximum) is the largest number in a set of data. True
4. The (range) is different between the minimum and maximum value in set of data. True
5. For positive correlation the data in two sets (increase) together. True.
6. The (minimum) is the smallest number in a set of data. True.
MedianMedian is a statistical measure that represents the middle value in a set of numbers when they are arranged in order from least to greatest.
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Given the right triangle shown below, prove cos2(θ) + sin2(θ) = 1.
Answer:
-definition of cosine
-definition of sine
-Pythagorean Theorem
-Substitution
-laws of exponents
Step-by-step explanation:
The blanks are filled by the definition of cosine, the definition of sine, Pythagorean Theorem, substitution, and laws of exponents respectively.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Given the right triangle shown below, prove cos²(θ) + sin²(θ) = 1.
A triangle with sides x, y, and hypotenuse r.
Angle θ is opposite to side y.
As per the Laws of Cosine,
cos(θ) = x/r, and
As per the Laws of Sine,
sin(θ) = y/r.
Multiplying both sides of the above equations by r,
x = r cos(θ) and
y = r sin(θ).
The Pythagorean Theorem states that x² + y² = r².
By Substitution method, we have [r cos(θ)]² + [r sin(θ)]²= r².
Applying the Laws of Exponents, the equation can be written as r² cos²(θ) + r² sin²(θ) = r².
Dividing both sides of the equation by r² results in cos²(θ) + sin²(θ) = 1.
Hence, the blanks are filled by the definition of cosine, the definition of sine, pythagorean theorem, substitution, and laws of exponents respectively.
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M is the midpoint of the segmant:CF use the coordinates C(3,4) and F(9,8) to find the coordinates of M.
Answer:
The answer is
( 6 , 6 )Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]
From the question the points are
C(3,4) and F(9,8)
The midpoint is
[tex]M = ( \frac{3 + 9}{2} \: , \: \frac{4 + 8}{2} ) \\ = ( \frac{12}{2} \: , \: \frac{12}{2} )[/tex]
We have the final answer as
( 6 , 6 )Hope this helps you
Answer: (6,6)
Step-by-step explanation:
suppose that the data for analysis includes the attribute age. the age values for the data tuples are (in increasing order): 19, 22, 28, 34, 39, 43, 45, 50, 59, 65 what is the value of the mean? round the result to the nearest integer.
The mean is the average value of the given data set. To find the mean, sum up all the data values and divide the result by the number of values in the set.
The age values for the given data tuples are: 19, 22, 28, 34, 39, 43, 45, 50, 59, 65.
The sum of all these values can be calculated as:19 + 22 + 28 + 34 + 39 + 43 + 45 + 50 + 59 + 65 = 404
Therefore, the mean can be calculated as:
Mean = 404 / 10
Mean = 40.4
When we round this value to the nearest integer, we get the mean as 40.
Therefore, the value of the mean is 40.
The mean is a commonly used statistical measure that is used to calculate the average value of a data set. It is calculated by summing up all the values in the data set and dividing the result by the number of values in the set. In this question, we were asked to find the mean of a set of age values. We calculated the mean by adding up all the values in the set and dividing the result by the number of values in the set. We then rounded the answer to the nearest integer to get the final result. The mean of the given data set is 40.
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If 2 sides of a triangle are 18 inches and 25 inches, then which of the following is NOT a possibility for the 3rd side of the triangle?
5 inches
11 inches
32 inches
40 inches
2h/9 - 6 = 6 7/18
h=
PLEASE HELP
Answer:
Step-by-step explanation:
What is the sign between 6 and 7/18h
Answer:_3.1
Step-by-step explanation:
please solve this Laws of Indices problem
Answer:
[tex]\frac{1}{405}[/tex]
Step-by-step explanation:
[tex]5^{-\frac{2}{3} } *15^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} } *(3*5)^{-\frac{1}{3} }*3^{-\frac{11}{3} }[/tex] = [tex]5^{-\frac{2}{3} }*5^{-\frac{1}{3} }*3^{-\frac{11}{3} }*3^{-\frac{1}{3} }[/tex] = [tex]5^{-1}*3^{-4}[/tex]
[tex]5^{-1}*3^{-4} = \frac{1}{5*3^{4} } = \frac{1}{405}[/tex]
10) Which of the following humbers is an integer but NOT a whole
number?
A. -6.7
B. 5
C 0
D.4.2
Answer:
-6.7
Step-by-step explanation:
i really need helpppp.
Answer:
I think it would be B.
I took 528÷ 264=2 this tell me how many MB one picture equals. Then I took 2×35 which gave me 70. Have a Lovely Day.
A drama club is selling tickets to the spring musical. The auditorium holds 200 people. Tickets cost $12 at the door, x, and $8.50 if purchased in advance, y. The drama club has a goal of selling at least $1000 worth of tickets to Saturday’s show. Write a system of inequalities that can be used to model this scenario.
x+y ≥ 200
12x+8.50y< 1000
x+y≤200
12x+8.50y≥1000
x+y ≥ 1000
12x+8.50y≤200
x+y ≥ 1000
12x+8.50y< 2000
The correct system of inequalities that can be used to model the scenario is given by the options; 12x + 8.50y < 1000 and x + y ≥ 150.How to arrive at the solution:Let x be the number of tickets sold at the door and y be the number of tickets sold in advance.The cost of each ticket sold at the door is $12. Hence, the revenue generated from x number of tickets sold at the door is given by 12x.
The cost of each ticket sold in advance is $8.50. Hence, the revenue generated from y number of tickets sold in advance is given by 8.50y.The total revenue that will be generated from the sales is the sum of the revenue generated from x and y tickets. Hence, the total revenue is given by 12x + 8.50y.The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. Thus, the inequality that represents this goal is given by:12x + 8.50y ≥ 1000.The auditorium holds 200 people. Hence, the total number of tickets sold (x + y) cannot be greater than 200. Thus, the inequality that represents this condition is given by:x + y ≤ 200.Apart from the inequality x + y ≤ 200, we need another inequality that relates to the revenue. Let's set a lower bound on the total revenue. We need to find an integer k such that 12x + 8.50y > k for each (x, y) pair that satisfies x + y = 200. This integer k is the smallest possible revenue generated if all 200 seats are sold. One way to find k is to substitute x = 200 - y into the revenue function and find the minimum value of the resulting function as y ranges from 0 to 200. Let's do this.12x + 8.50y = 12(200 - y) + 8.50y = 2400 - 3y + 8.50y = 2400 + 5.50y.Since 5.50 is positive, the revenue is minimum when y is minimum, which is 0. Hence, k = 2400.The smallest total revenue is $2400 when all 200 tickets are sold. The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. Thus, the inequality that represents this goal is given by:12x + 8.50y ≥ 1000.To summarize:12x + 8.50y < 1000 (Revenue goal) x + y ≥ 150 (Ticket goal)Therefore, the system of inequalities that can be used to model this scenario is given by:12x + 8.50y < 1000x + y ≥ 150.
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Convert 0.3 to a fraction
Answer:
3/10
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
