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
liraira [26]
2 years ago
6

The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed f

loor
Mathematics
1 answer:
vladimir1956 [14]2 years ago
8 0

Answer:

  • 2.5 ft wide
  • 8 ft long

Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

__

<h3>Given relation</h3>

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

  A = LW

  20 = (2x+3)(x) . . . . . area of the shed

__

<h3>Solution</h3>

Completing the square gives ...

  2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

  2(x +0.75)² = 21.125 . . . . . . . write as a square

  x +0.75 = √10.5625 . . . . . divide by 2, take the square root

  x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.

You might be interested in
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Yuliya22 [10]

Answer:

sorry dont know

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A coat regularly priced at $188 is on sale for 25% off. what is the sale price
Allushta [10]
To find the answer first find the base number or 1% of $188 which is 1.88. Next find what percent is asking for 25% so multiply by 25 1.88 which is 47 so 47-188 = 141 this is one way to do it
3 0
3 years ago
Read 2 more answers
Consider the function f(x)=2x2+7x−30.<br><br> What are the zeros of the function?
Nimfa-mama [501]

Answer:

Zeroes are: (-6, 0) and (2.5, 0)

x= -6  &  x= 2.5

Step-by-step explanation:

I recommend using desmos for graphing problems!

5 0
3 years ago
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0
3 years ago
Please help <br><br> A. 13<br> B. 26<br> C. 40<br> D. 36<br> D. 41
Morgarella [4.7K]
The value of x is 26.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Determine if the equation 1/3×y represents a proportional relationship​
    14·1 answer
  • What is the exact value ?
    12·1 answer
  • How many 30 degree angles does it take to make a full turn?
    8·2 answers
  • in germany, VAT is at 19% Jeremy buys a calculator in germny for €58.31 This price includes VAT Find the amount of VAT paid by
    5·2 answers
  • Simplify the expression-2(-9g+4)
    13·2 answers
  • The formula for the perimeter of a rectangle is P = 2l + 2w. The length of a rectangle is 3 times its width. Which expression re
    10·1 answer
  • You have recorded your car mileage and gasoline use for 5 weeks Estimate the
    14·2 answers
  • Can someone help me pls
    10·1 answer
  • Can someone help me plz
    11·2 answers
  • 2 cups is to 8 cans as 14 cups is to ___ cans?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!