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
sergij07 [2.7K]
3 years ago
15

A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty

le \frac{1}{32}321​inch.a) Write and solve an absolute value equation to find the minimum and maximum acceptable nail length. (Use \displaystyle ll as the variable to represent length)b) A penny number 2 nail is 1.05 inches long. Is the nail acceptable? Explain.
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

The absolute value equation representing the length of the nail is :

  • \frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

  • 1 -  \frac{1}{32}  =  \frac{31}{32}

The maximum allowable length :

Actual length + allowable variation

  • 1 +  \frac{1}{32}  = 1 \frac{1}{32}

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

\frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

You might be interested in
What type of number is -12 a rational or irrational or integer
Ivanshal [37]
Irrational due to the negative sign
8 0
3 years ago
Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
6 0
3 years ago
If each of the following fractions represents a probability, which indicates the event that is
never [62]
Bsisuausudidjdieirofkrr
3 0
3 years ago
Anksgiving Meal Continued
Marrrta [24]

Answer:

The Answer is: Perimeter = 39.12

Step-by-step explanation:

Given: area is 56.96 m^2

Given: length is 16m.

Find Width.

Equation:

Length x Width = Area

Solve for Width, w.

16 x w = 56.96

w = 56.96/16 = 3.56.

Perimeter all the sides added together:

P= 2l + 2w

= 2(16) + 2(3.56)

= 32 + 7.12

= 39.12 m, perimeter

Hope this Helps!! Have an Awesome Day!! (-:

4 0
3 years ago
How do you determine volume?
bulgar [2K]

Answer:   V = πr 2 h

Step-by-step explanation:

To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.

6 0
2 years ago
Other questions:
  • What is/are the solution(s) of the system of equations? Why you say that is the solution? Write your answer in complete sentence
    6·1 answer
  • 1. Find the sum. 6,435 + 8,317<br> 14,000<br> O 1,475<br> O 14,752<br> O 14,642
    15·2 answers
  • What is 6×2/8 equal​
    8·2 answers
  • The perimeter of a garden is 82 feet. The length is 5 more than twice the width. What is the width of the garden?
    5·2 answers
  • PLS HELP DUE IN AN HOUR!
    13·1 answer
  • Wirk out the values of 5x-2y when x=-2 and y = -2
    9·1 answer
  • Find the output, y, when the input, x, is -5.​
    9·1 answer
  • Someone help please will mark brainliest
    13·2 answers
  • Find the line with the slope m=½ through point (8,1)​
    10·1 answer
  • Help me out please ty!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!