The formula for the area of a rectangle is: A = LW, where A=area, L = length and W = width. In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length. Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1). With the area: 2x² + 8x + 6, you can first factor out the 2 to get: 2(x² + 4x + 3). Next, you can factor the polynomial: 2(x + 3)(x + 1). Lastly, in order to find the width, you divide the area by the length:

$\frac{2(x + 3)(x + 1)}{2(x+1)}$

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

8 0

3 years ago

What is 970+12% of the amount over 9,700

kherson [118]

The answer is 2,134 because you do 12% times 9,700 + 970

7 0

2 years ago

Matthew completed 5/8 of his workday. What decimal would also describe the portion of the workday he has finished? How can you u

Natalija [7]

Answer:

a)D= 0.625 Decimal that describes the portion of the workday he has finished

b)P= D*100= 0.625*100=62.5%

P: percentaje

D: Decimal

Step-by-step explanation:

Nomenclature

F: fraction of daily workday

D: decimal of daily workday

P: percentage of daily workday

Formulas

F= a/b

D= a÷b

P= D*100

Problem development

We have:

F = 5/8, then:

D= 5÷8= 0.625

To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100

P= 0.625*100=62.5%

6 0

3 years ago

Out of a salary of $4500. I kept 1/3 as saving. Out of the remaining money. I spend 50% on food and 20% on house rent. How much

Step2247 [10]

Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.

7 0

2 years ago