Answer:
Cost of purple carpet for Claire's bedroom is $1033.92.
Step-by-step explanation:
Given:
The dimension of bedroom are given as 16 feet and 18 feet.
Hence we can say that;
Length = 18 feet
width = 16 feet
Cost of carpet per square feet = $3.59
We will first find the area of the bedroom.
Area of bedroom can be calculated by multiplying length with width.
Area of bedroom = 
Hence Area of bedroom is 288 square feet.
Now we know that;
Cost of carpet per square feet = $3.59
Hence Cost of carpet for 288 square feet is ;
we will unitary method to find the same;
Cost of carpet for bedroom = 
Hence Cost of carpet for Claire's bedroom is $1033.92.
Step-by-step explanation:
Answer:
The required equation of line in point-slope form is:
Step-by-step explanation:
Given points are:
(x1,y1) = (3,6)
(x2,y2) = (5,-8)
The point-slope form of an equation is given by:
Here m is slope of the line and (x1,y1) is a point on line
The slope is calculated using the formula:
Putting the values we get
Putting in the equation
Now we have to put a point in the equation, putting (3,6) in the equation
Hence,
The required equation of line in point-slope form is:
Answer: $4850
Step-by-step explanation:
The other information related to the question is:
Direct materials = $3.50
Direct labor = $1.10
Variable overhead = $0.45
Fixed overhead = $2.80
Total = $7.85
Based on the information given in the question, the increase in the profit will be calculated as the contribution from the 3000 extra units minus the worker's salary.
Contribution from 3000 units will be:
= (Selling price - Direct materials - Direct labor - Variable overhead) × 3000
= ($25 - $3.50 - $1.10 - $0.45) × 3000
= $19.95 × 3000
= $59850
Increase on Profit:
= $59850 - $55000
= $4850
Answer:
24
Step-by-step explanation:
3(2n-8)=5n distribute 3
6n-24=5n combine like terms
-24=-n divide by -1 on both sides
24=n
n=24
If we know your Pythagorean Triples we can immediately recognize that the last choice is a right triangle:
8² + 15² = 17²
If you don't know your Pythagorean Triples, it's worth learning the first few off the list because teachers use them in problems all the time. But for now let's just exhaustively check the Pythagorean Theorem for each triangle. We don't have to multiply everything out; we can analyze the common factors. If two have a common factor that the third one doesn't have, there's no way for the Pythagorean Theorem to add up.
Clearly 5²+15² is a multiple of 5 but 18² isn't so that one isn't a right triangle.
6²+12² is a multiple of 6, 16² isn't a multiple of 6, not an RT.
15²-5² is a multiple of 5, 13² isn't, no joy.
8²+15² = 64 + 225 = 289 = 17² -- that's a real right triangle, a valid Pythagorean Triple.
