Landen used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whole room?
Answers
Answer:
2 gallons
Step-by-step explanation:
(1.5 gallons)/(3/4 Room) = 2 gallons/Room
Related Questions
y-1=-1/2 (x-2) graph point and slope
Answers
Answer:
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
Step-by-step explanation:
Explanation:-
Given that the line
\(y -1 = -\frac{1}{2} ( x-2)\)
Comparing y- y₁ = m(x-x₁)
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
The equation of the straight line
\(y -1 = -\frac{1}{2} ( x-2)\)
2(y-1) = -(x-2)
2y -2 = -x +2
x + 2y -2-2=0
x +2y -4=0
Final answer:-
The equation of the straight line x+ 2y-4=0
The slope of the line \(m = -\frac{1}{2}\)
The point ( x₁ ,y₁) = ( 2,1)
your backyard is shaped like a rectangle and measure's 45 1/2 feet by 50 feet. you want to put a fence around your backyard. how much fence will you need?
Answers
Answer:
191 ft
Step-by-step explanation:
If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.
2*45.5ft + 2*50ft = 91ft + 100ft = 191ft
Consider the following triangle.
a = 6.0, b = 7.7, c = 13.6
Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.
O Law of Sines
O Law of Cosines
Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal pl
A =
B =
C =
Need Help?
0
O
O
Read It
Answers
To determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle, we can compare the given information with the formulas for each law.
The Law of Sines states:
a / sin(A) = b / sin(B) = c / sin(C)
The Law of Cosines states:
c^2 = a^2 + b^2 - 2ab * cos(C)
In this case, we are given the lengths of all three sides of the triangle (a = 6.0, b = 7.7, c = 13.6). Therefore, we have enough information to use the Law of Cosines to solve the triangle.
Using the Law of Cosines, we can find the measures of the angles:
c^2 = a^2 + b^2 - 2ab * cos(C)
(13.6)^2 = (6.0)^2 + (7.7)^2 - 2 * 6.0 * 7.7 * cos(C)
184.96 = 36 + 59.29 - 92.4 * cos(C)
184.96 = 95.29 - 92.4 * cos(C)
92.67 = -92.4 * cos(C)
cos(C) ≈ -1
Since the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.
In this case, the Law of Cosines is needed, but the triangle cannot be solved with the given information.
HELPPPPPPPPPPPP PLEASEEEEEEEE
Answers
Answer:
1/1 or 1
Step-by-step explanation:
1. Find two points from the graph
2. Set them in the slope formula (\(\frac{y^2- y^1}{x^2 - x^1}\))
3. Insert the coordinates into this formula
Points: (0,1) and (1, 2)
2 -1 = 1
1 - 0 = 1
1/1 = 1
What is the standard deviation of this data set ?Reporting 2 more decimal places than the original data. 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61
Answers
Answer:6.986
Step-by-step explanation:
To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.
Answer: Standard deviation is 6.986.
Step-by-step explanation:
Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation
To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.
Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.
In this case standard deviation is 6.986.
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Factor each expressions using the greatest common factor.
1:3x + 6
2:4x-8
4:2x-4
7:9x + 18
5: 6x + 12
8: 8x - 16
3: 5x + 10
6:7x-14
Answers
1. 3x + 6 = 3(x + 2)
2. 4x - 8 = 4(x - 2)
3. 5x + 10 = 5(x + 2)
4. 2x - 4 = 2(x - 2)
5. 6x + 12 = 6(x + 2)
6. 7x - 14 = 7(x - 2)
7. 9x + 18 = 9(x + 2)
8. 8x - 16 = 8(x - 2)
Therefore, the factored expressions are:
1. 3(x + 2)
2. 4(x - 2)
3. 5(x + 2)
4. 2(x - 2)
5. 6(x + 2)
6. 7(x - 2)
7. 9(x + 2)
8. 8(x - 2)
25 POINTS AND BRAINLIEST 6. Consider the following figure.
Part A: Determine the PERIMETER of the figure above.
Part B: Determine the AREA of the figure above.
Answers
Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2
Step-by-step explanation:
We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.
Answer:
Perimeter: 95+15*sqrt(3)=120.98
Area: ([45*sqrt(5)]/2) + 600=605.3
F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answers
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 352
Answers
Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?
Answers
Answer:
Shelia is
Step-by-step explanation:
hope this helps plz mark brainlessly
The figure below has a perimeter of 20 cm. Jinaiya wants to scale this figure by a factor of 0.75
What will the perimeter of the scaled figure be?
Answers
Answer:
15cm
Step-by-step explanation:
scale factor =image diatace/object distance
0.75=x/20
0.75×20=x
15=x
: .x=15cm
HELP! WILL GIVE BRANLIEST!
Answers
Answer: I believe it is 108 good luck girl
The Palestinian ministry of sports has four basketball games on a particular night. The ministry wants to assign four teams of officials to the four games in a way that will minimize the total distance traveled by the officials. The supply is always one team of officials and the demand is for only one team of officials at each game. The distances in km for each team of officials to each game location are shown in the following table: officials 1 2 3 a 90 10 100 b 50 40 40 c 60 170 90 A) Formulate this problem as Assignment Model (the objective function and constraint equations for the demand and supply). b) Use QM to solve the Model.
Answers
The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.
A) Objective Function:
Minimize Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C
Constraints:
x1A + x1B + x1C = 1
x2A + x2B + x2C = 1
x3A + x3B + x3C = 1
x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0
B) The optimal solution is as follows:
x1A = 1
x1B = 0
x1C = 0
x2A = 0
x2B = 0
x2C = 1
x3A = 0
x3B = 1
x3C = 0
Z = 200 km
1. Create the objective function
Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C
2. Set the constraints
x1A + x1B + x1C = 1
x2A + x2B + x2C = 1
x3A + x3B + x3C = 1
x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0
3. Solve the linear programming problem
Using QM, the optimal solution is:
x1A = 1
x1B = 0
x1C = 0
x2A = 0
x2B = 0
x2C = 1
x3A = 0
x3B = 1
x3C = 0
4. Calculate the total distance
Z = 90x1A + 10x1B
The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.
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Please help me with this problem
Answers
So your welcome
mega mart sells a large 5kg cake for $2500 while a 2kg chocolate cake cost $1200 what is the cheapest price sam would payfor 10kg of cake for the party
Answers
The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.
At Mega Mart, a 5kg cake costs $2500.
Therefore, the price per kilogram for this cake is:
Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.
At the same time, a 2kg chocolate cake costs $1200.
So, the price per kilogram for this cake is:
Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.
Now, let's calculate the total price for 10kg of cake from each option:
Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.
Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.
Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.
Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.
Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.
In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.
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What is the rational number equivalent to 1.28
Answers
Answer:
1 28/99
Step-by-step explanation:
When a number with 1-2 digits is divided by 99, it gets repeated with two digits. For example, 2/99=0.0202020202...
Another example would be 18/99=0.18181818...
Using this information, we can determine that 1.28282828 repeating would be 1 28/99
Let me know if you have any questions! :)
thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?
Answers
Answer:
13.5
Step-by-step explanation:
14 oranges in 21 hour translates to:
3/2 oranges per hour.
So, in 9 hours thor can peel 13.5 oranges.
Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.
Answers
Answer:
Step-by-step explanation:
Which pair of variables would most likely have a negative correlation?
A. the time spent driving in a car and the number of miles driven
B. the height of a dog in inches and the number of ounces of food the dog eats per day
C. the number of sit-ups completed and the number of calories burned during a workout
D. the time spent reading a book and the number of pages remaining to be read in the book
Answers
Answer: D
Step-by-step explanation:
The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.
Negative CorrelationThis means that the variables involved move in the opposite direction from each other. Means that as one variable increases, the other decreases and vice versa.If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.
In conclusion, option D is correct.
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Write all the factor pairs for 36
Answers
Answer:
3x12 36x1 4x9 18x2 6x6
Step-by-step explanation:
HELPPPPP 7w/6 when w = 18
Answers
Answer:
21
Step-by-step explanation:
100,000 less than five hundred sixty thousand,three hundred thirteen is __________.
Answers
Answer:
100,000>56,313 56, 56,313<100,000
Question 3
If the sales tax for the city of Los Angeles is 9,75%, how much tax would you pay for an item that costs $500.00?
Answers
Answer:
$48.75
Step-by-step explanation:
500.00 x 9.750=$48.75 sales tax
Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answers
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
Which function of x has the least value for the y -intercept? PLEASE HELP explanation needed
A . y = -4x + 15 C. y= 2x - 3
Answers
The function of x has the least value for the y -intercept is Graph B.
Calculating y-intercept of a lineThe given graphs shows a graph of a line. The equation of a line in slope intercept form is expressed as y = mx + b
where;
b is the slope
Since the y-intercept is the point where the line intersect or cross the y-axis, hence the y-intercept of the line A is 15, the y-intercept of line B is -3, that of Graph C is -2 and Graph D is 2.
From the list of y-intercepts, the function of x has the least value for the y -intercept is Graph B.
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solve the inequality 11x > 4(1+3x). record your answer in interval notation
Answers
Answer:
(-∞, -4)
Step-by-step explanation:
11x > 4(1+3x)
11x > 4*1+4*3x ==> distribute 4 to 1 and 3x using the distribution property
11x > 4 + 12x ==> simplify
11x-12x > 4 + 12x-12x ==> isolate x by subtracting 12x on both sides
-x > 4
x < -4 ==> when dividing by a negative number, switch the inequality sign
x < -4 can also be written as -∞ < x < -4
This is because x is greater than -∞ but can never equal -∞.
-∞ < x < -4 ==> (-∞, -4)
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A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
Answers
Part B: The algebraic expression for the amount of money the farmer could earn selling any number of oranges, n, is 0.20n - 25.
Suppose you have a $60,000 loan with an annual percentage rate of 8% for 25 years.
what are the monthly payments
Answers
Find the slope of the line 2y = 8x - 3:
A
- 3
2
B 4
C 8
Not here
Answers
Your slope would be 4
Answer B is correct.
If Mr. Carpenter catches 6 lobsters every day from now until March 31, how many lobsters will he catch in total?
Answers
Answer:
1080
Step-by-step explanation:
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