The price of a coat is $114 before sales tax . The sales tax is 7%. Find the total cost of the coat

The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,

juin [17]

Answer:

The width is: $w(x)=4x^2$

The length is $l(x)=2x^2+3x+5$

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

$a(x)=8x^5+12x^3+20x^2$

The width of the rectangle is the greatest common factor of $8x^5$ , $12x^3$ and $20x^2$

That is the width is: $w(x)=4x^2$

We now divide the area by the width to obtain the length of the rectangle:

$l(x)=\frac{8x^5+12x^3+20x^2}{4x^2}$

This simplifies to:

$l(x)=\frac{8x^5}{4x^2}+\frac{12x^3}{4x^2}+\frac{20x^2}{4x^2}$

$l(x)=2x^2+3x+5$

5 0

2 years ago

Read 2 more answers

Garth estimated the height of the door to his classroom in meters what is a reasonable estimate

e-lub [12.9K]

2/3 meters would be a reasonable estimate.

8 0

2 years ago

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

levacccp [35]

Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2

Total length of border = 6 + 2 + 6 + 2 = 16

5 0

2 years ago

In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to

mrs_skeptik [129]

Answer:

50 Teachers

Step-by-step explanation:

To solve this problem, we first need to find the number of teachers <em>before </em>the new teachers were added. To do so, I created Model 1. On the bottom of the ratios, we have students. On the top, is teachers. The X is the number of teachers we are trying to find. Following the model, I multiplied 2,100 x 1 (2,100) and divided it by 14 to get 150 teachers. Then, I set up a similar model with the new student-teacher ratio (Model 2). From there, I multiplied 2,100 x 2 (4,200) and divided it by 21 to get 200 teachers. Now I have the original number of teachers and the new number of teachers. Subtract the new by the original to find the teachers added and you get the answer of 50 teachers added.