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
Naddika [18.5K]
3 years ago
10

Emily wants to hang a painting in a gallery, The painting and frame must have an area of 31 square feet. The painting is 5 feet

wide by 6 feet lone, Which quadratic equation can be used to determine the thickness of the frame, x? (5 points) 511 42.22x+31 - 0 4x22x - 1.0 OX.11.31 - 0 O x + 11-1-0
Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0

Answer:

4x² + 22x - 1 = 0

Step-by-step explanation:

The painting is in the form of a rectangle with measurement of 5 feet width and 6 feet length. Let us assume that the frame has a thickness of x feet, hence:

Length of painting and frame = 6 + 2x, breadth of painting and frame = 5 + 2x

Therefore:

Area of painting and frame = length of painting and frame * breadth of painting and frame

Given that the area of painting and frame is 31 ft², substituting gives:

31 = (6 + 2x)(5 + 2x)

31 = 30 + 12x + 10x + 4x²

31 = 30 + 22x + 4x²

4x² + 22x + 30 = 31

4x² + 22x - 1 = 0

You might be interested in
Factors of 54 and 36 all factors correct = brainliest answer
Lilit [14]

9514 1404 393

Answer:

  54 = 2 × 3³

  36 = 2² × 3²

Step-by-step explanation:

The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...

  54 = 2 × 3³

  36 = 2² × 3²

__

Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.

The divisors of these numbers are ...

  54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54

  36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36

5 0
3 years ago
If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95​% confident that the d
katen-ka-za [31]

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Sample size needed

At least n, in which n is found when M = 0.09

We don't know the proportion, so we use \pi = 0.5, which is when we would need the largest sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.09\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.09}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}

n = 118.6

Rounding up

We need a sample size of least 119

6 0
3 years ago
I need help!!!! Can someone answer this plz!!!
Greeley [361]

Answer:

I believe the answer is D.

Step-by-step explanation:

The Answer makes sense.

4 0
4 years ago
Find the simple interest on a loan of:
Nikolay [14]

Answer:

simple interest= 5100

using formula SI=<u> </u><u>PTR</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>100

hope it helps..

7 0
3 years ago
Find S5 for the sequence 3, 13, 23, 33, 43, 53, 63, 73.
hoa [83]
 have an arithmetic sequence here....to find the common difference, subtract the first term from the second term. 13 - 3 = 10...so basically, ur adding 10 to each number to get to the next number.

before we find s5, we r going to find a5...because we need a5 to use in the sum formula.....a5 is the fifth term, and it is 43

sn = (n (a1 + a5) / 2
s5 = (5 (3 + 43) / 2
s5 = (5 (46)) / 2
s5 = 230/2
s5 = 115 <===

or, for this particular problem, s5 is the sum of the first 5 terms.
3 + 13 + 23 + 33 + 43 = 115.....u can do it this way for s5...but if u were asked to find s20, I suggest using the formula.
3 0
4 years ago
Other questions:
  • Simplify.
    15·2 answers
  • What type of number can be written as a fraction p/q where p and q is not equal to zero
    10·1 answer
  • Solve for v -4(-5v+3)-v=4(v-3)-9
    13·1 answer
  • What is the product written in scientific notation?<br><br> (1.18×103)⋅(9.1×10−6)
    14·2 answers
  • 1. A researcher would like to learn about the difference in proportions of students and faculty who support textbook price caps.
    11·1 answer
  • In the diagram, if WA = 6, AX = 5, and YA = 10, then the length of Y Z is
    14·1 answer
  • Consider the line y = 7x-5.
    5·2 answers
  • 38/19 = n-5/20<br><br> I need this VERY QUICKLY, first one to give me an answer gets brainly!
    10·1 answer
  • Hey! Please help me ASAP
    11·1 answer
  • I just need the answers
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!