All categories

3 years ago

the area of a rectangle is x^2+3x-4 the width of the rectangle is x-1. determine the ratio of the area to the width

Mathematics

1 answer:

Svetlanka [38]3 years ago

7 0

Answer: (x + 4) : 1

<u>Step-by-step explanation:</u>

x² + 3x - 4 can be factored into (x + 4)(x - 1)

Area : width

(x + 4)(x-1) : (x-1)

divide both sides by (x - 1) to get:

Area : width

(x + 4) : 1

You might be interested in

A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to tot

Tamiku [17]

Answer:

$Ratio = 2:3$

Step-by-step explanation:

Given

$Cards = \{2,5,7,8,9,11\}$

Required

Ratio of odd numbers to total

First, list out the odd numbers

$Odd = \{5,7,9,11\}$

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

$Ratio = Odd : Total$

$Ratio = 4:6$

Divide by 2

$Ratio = 2:3$

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0

3 years ago

Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

lord [1]

Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Therefore, Sebastian's average rate is 40 laps per hour.

6 0

3 years ago

Which is the most effective brand name shoe. is it Experimental vs. Observational

balandron [24]

Answer:

nike its observational

Step-by-step explanation:

6 0

2 years ago

What is the product of 84,90?

MAVERICK [17]

84•90 is 7,560.

ndheisn

3 0

4 years ago

22. Four years ago, Samantha was three times as old as Danny. Four years fromnow, Samantha will be only twice as old as Danny. H

Mama L [17]

Danny is 12 and Samantha is 28

8 0

3 years ago