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
PilotLPTM [1.2K]
3 years ago
10

The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of t

he resulting rectangle is 24 square inches. What is the area of the original rectangle?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

The original are would be 48.

Since we know that the length and width are two consecutive even integers, we can model them as follows:

Width = x

Length = x + 2

This works because no matter what even number is put in for x, the length will also be even.

Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:

Width: x - 3

Length: x + 2

Area: 24

And we can plug this into the equation.

Length* Width = Area

(x + 2)(x - 3) = 24

x^2 - x - 6 = 24

x^2 - x - 30 = 0

This is not a quadratic that we can factor to show the following:

(x - 6)(x + 5) = 0

This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.

So if we go back to the original rectangle, we know:

Width = x = 6

Length = x + 2 = 8

Area = 6*8 = 48

You might be interested in
A jar has 16 marbles, 10 green, 2 blue, 4 red. what is the probability of randomly choosing a red marble then without putting it
marta [7]

The probability of drawing a red marble and then a green marble is:

P = 1/6.

<h3>How to find the probability?</h3>

In the jar we have a total of 16 marbles, such that:

  • 10 are green.
  • 2 are blue
  • 4 are red.

First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:

p = 4/16 = 1/4

Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.

q = 10/15

The joint probability (first drawing red, then green) is given by the product between the individual probabilities:

P = p*q = (1/4)*(10/15) = 10/60 = 1/6

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

8 0
1 year ago
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
ella [17]

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

4 0
3 years ago
Classify the following triangle as acute,obtuse, or right
IRISSAK [1]
It is an obtuse triangle
4 0
2 years ago
Read 2 more answers
At a large automobile dealership, you take a random sample of 35 cars and determine that the average cost is $34,330. Which stat
nadya68 [22]

Answer:Btw id your on Usa Testprep the answer is d

Step-by-step explanation:

4 0
3 years ago
The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame
qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

{\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%

{\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.



7 0
3 years ago
Read 2 more answers
Other questions:
  • 40 is 10 times as much as 40 true or false
    6·1 answer
  • Mr. Rahman gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to each of his 3 sons. half of the
    9·1 answer
  • Pls sovle thankyou number 7
    10·2 answers
  • Solve the following equations for x <br> 3/4=3/8x-3/2
    11·1 answer
  • PLEASE HELP ME I DON'T KNOW HOW TO DO THIS
    12·1 answer
  • 44 * 9678 I will mark brainliest
    13·2 answers
  • Venn diagram is shown below:<br><br>What are the elements of (A ∩ B) ' ?<br>​
    12·1 answer
  • A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.13 for each minute of calls. Plan B costs $16 p
    8·1 answer
  • Brainliest for the correct answer :)
    11·2 answers
  • a cylinder has a height of 12 feet and a radius of 14 feet. what is its volume? use ​ ≈ 3.14 and round to the nearest hundredth
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!