it costs a family $305.00 to buy a 16-ft by-18-ft rug. if the cost is proportional to the area, what will it cost the family to buy a 11-ft-by-14-ft rug
Answers
The cost for the family to buy a 11-ft-by-14-ft rug is $163.
Cost
A mathematical formula for calculating how manufacturing costs will vary as output levels rise.
How to determine the cost of an 11-ft-by-14-ft rug?
Given 16-ft by-18-ft rug, cost is $305.00.
An 6-ft by-18-ft rug, area is 16×18 = 288 ft²
then per square feet cost is 355/288 = $1.059
the rug plane to buy an 11-ft-by-14-ft area is 11×14 = 154 ft²
So the cost of 154 ft² area is 154 × 1.059 = $163
Hence the of 11-ft-by-14-ft rug is $163.
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x2 = 160
Answers
Answers
Answer:
D =
Step-by-step explanation:
The amount of money that the students will pay back with the fundraiser (D) would be half of the current debt (d) since debt is represented as a negative but the fundraiser needs to be a positive since it is money gained we would divide by -2
D =
This equation shows the debt that will be repaid through the fundraiser which would be exactly half of the current debt.
Answers
The standard form of the equation of the hyperbola:
How did we get the values?
To write the standardform of the equation of a hyperbola, you need to rearrange the given equation into the following form:
Where (h, k) is the center of the hyperbola, and "a" and "b" are positive constants related to the shape and size of the hyperbola.
Start by completing the square for both the x and y terms:
1. Group the x terms and y terms separately:
4x² - 16x - 9y2 - 36y - 56 = 0
2. Complete the square for the x terms by adding and subtracting the appropriate constant inside the first bracket:
4(x² - 4x + 4) - 9y² - 36y - 56 = 0
3. Complete the square for the y terms by adding and subtracting the appropriate constant inside the second bracket:
4(x² - 4x + 4) - 9(y² + 4y + 4) - 56 + 36 = 0
4. Now, rewrite the equation and simplify:
4(x² - 4x + 4) - 9(y² + 4y + 4) - 20 = 0
5. Factor the squares:
4(x - 2)² - 9(y + 2)² - 20 = 0
6. Divide both sides by the constants to isolate the equation:
Now, you have the standard form of the equation of the hyperbola:
The center of the hyperbola is at (h, k) = (2, -2), "a" is the square root of 5, and "b" is the square root of 20/9.
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Answer:
(x-2)^2/3^2 - (y+2)^2/2^2 =1
Step-by-step explanation:
Plato
4x + 9y = -14
Answers
4x + 9y = -14 Substitute -8 for x
4 (-8) + 9y = -14 Multiply
-32 + 9y = -14 Start isolating the variable by adding 32 to both sides
9y = 18 Divide both sides by 9
y = 2
When x = -8, y = 2
Answers
Find the values of A B C D E F and G
Answers
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
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Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.