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
puteri [66]
3 years ago
9

A rectangle with an area of 240 in2 has a length 10 inches shorter than five times its width. Which equation could be used to so

lve for the length of the rectangle?
Mathematics
2 answers:
almond37 [142]3 years ago
4 0
L = 5W - 10
5W = L + 10
W = 1/5(L + 10)
Area = L x W
240 = L(1/5(L + 10)
L^2 + 10L = 240(5) = 1200
L^2 + 10L - 1,200 = 0
Lyrx [107]3 years ago
3 0

Answer:

The equation which can be used to solve for the length of the rectangle :  x² - 2x - 48 = 0

Step-by-step explanation:

Let width of the rectangle be x inches

Now, The rectangle has length 10 inches shorter than five times its width

⇒ Length of rectangle = 5x - 10

Now, Area of rectangle is given to be : Area = 240 inches²

Also, Area of the rectangle is given by the formula : Area = Length × Width

⇒ 240 = (5x - 10) × x

⇒ 5x² -10x = 240

⇒ 5x² - 10x - 240 = 0

⇒ x² - 2x - 48 = 0

Therefore, The equation which can be used to solve for the length of the rectangle :  x² - 2x - 48 = 0

You might be interested in
What is the value of 7​
maw [93]

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜

8 0
2 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Please help I do not know how to do this
stepan [7]

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90° , then

a + b = 90° , that is

67° + b = 90° ( subtract 67° from both sides )

∠ b = 23°

3 0
3 years ago
Read 2 more answers
PLEASE HELP GUYS !!!
crimeas [40]

Answer:

y = -3/2x + 3

y = x + 1

y = 5/4x - 2

4 0
2 years ago
Read 2 more answers
Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will
Grace [21]

Answer:she will have $25 left .

Step-by-step explanation:

0.25(60)  = 15

$40 - $15 = $ 25

5 0
3 years ago
Other questions:
  • I NEED HELP WITH THIS SCIENCE QUESTION!!!
    8·2 answers
  • What are the digits of pie?
    8·1 answer
  • Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she
    6·2 answers
  • Explain the difference between f and f(x).
    8·1 answer
  • What is 34.77 x 10^4
    10·1 answer
  • For each statement below, determine if it is True or False. Justify your answer. (a) If a linear system has infinitely many solu
    9·1 answer
  • Sina<br> nas)<br> -<br> A.<br> -<br> Nu<br> B.<br> In<br> C.<br> D.<br> 2
    14·2 answers
  • HELP HELP HELP HELP ...
    7·1 answer
  • I need this done please
    7·1 answer
  • Help me pleaseguy3gkyubhukydihuxcgh asdi09adsvbgaxi90 bvsaia9
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!