1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
3 years ago
14

The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
nalin [4]3 years ago
8 0

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

You might be interested in
We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed
eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

C_{27,8} = \frac{27!}{8!19!} = 2220075

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0
2 years ago
PLEASE AWNSER NEEDED NOW Find the volume of the figure. Round your answers to the nearest hundredth, if necessary
Margaret [11]
Didn’t you get that correct?
3 0
2 years ago
2x – 3y = -5
vampirchik [111]

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

4 0
2 years ago
Chelsea deposits $600.00 into a bank account and is earning 8.5%simple interest. She decides to keep the account for 4 years. a)
snow_lady [41]

Answer:

$204 in interest

Step-by-step explanation:

Plug in each variable into the simple interest formula: I = PRT

P = $600

R = 8.5% (0.085)

T = 4 years

3 0
3 years ago
What is 674×673×142÷3​
anzhelika [568]

Step-by-step explanation:

674 \times 673 \times 142 \div 3 \\  \\ =  674 \times 673 \times 142  \times  \frac{1}{3}  \\  \\  = 64,411,484\times  \frac{1}{3}   \\  \\  = 21,470,494.7 \\

8 0
3 years ago
Other questions:
  • What is 20000000×20000000×30000000= What is the answer
    12·2 answers
  • Suppose y varies directly with x. Write a direct variation equation that relates x and y.
    7·2 answers
  • A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 40 squ
    12·1 answer
  • Guys help me out please and thanks :)
    11·1 answer
  • A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
    7·1 answer
  • Consider the statements below. Which are not propositions? Mark all that apply.
    11·1 answer
  • What is the diffrence between 48 degrees Fahrenheit and -13 degrees fahrenheit​
    8·1 answer
  • What is the value if X 3x/7 - 11 = 16
    11·1 answer
  • How many hours is 7:45 to 1:00
    5·2 answers
  • A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!