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
shusha [124]
3 years ago
11

A company did a quality check on all the packs of roasted almonds it manufactured. Each pack of roasted almonds is targeted to w

eigh 21.25 oz. A pack must weigh within 0.24 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured roasted almonds?
x < 21.01 or x > 21.49 because |x - 0.24| + 21.25 > 0

x < 21.25 or x > 21.49 because |x - 21.25| > 0.24

x < 21.01 or x > 21.49 because |x - 21.25| > 0.24

x < 21.25 or x > 21.49 because |x - 0.24| + 21.25 > 0
Mathematics
2 answers:
wolverine [178]3 years ago
5 0

The <em>correct answer</em> is:


x < 21.01 or x > 21.49 because |x - 21.25| > 0.24 .


Explanation:


Let x be the weight of a given pack of roasted almonds. We know that the difference between x, the actual weight, and the target weight, 21.25, must be no more than 0.24. Since it could be heavier or lighter than the target weight, we use absolute value:


|x-21.25| ≤ 0.24


However, we want to know the weights of the packs that will be <em>rejected</em>. This changes our inequality; now we want the ones that are <em>more than</em> 0.24 different:


|x-21.25| > 0.24


To solve this, we must set up two inequalities (absolute value could mean heavier than or lighter than, we must account for both):


x - 21.25 > 0.24 or x - 21.25 < -0.24


When we set this up, we change the answer to a negative in the second inequality. Due to the rules of inequalities, when we change the sign of the number, we must change the inequality sign as well. This is why the second inequality has a less than rather than a greater than.


To solve each inequality, we will add 21.25 to each side:


x - 21.25 + 21.25 > 0.24 + 21.25 or x - 21.25 + 21.25 < -0.24 + 21.25

x > 21.49 or x < 21.01


This makes the correct answer the third option.

Anon25 [30]3 years ago
5 0

Answer:

Option C -  x or x>21.49 because  |x-21.25|> 0.24

Step-by-step explanation:

Given : Each pack of roasted almonds is targeted to weigh 21.25 oz. A pack must weigh within 0.24 oz of the target weight to be accepted.

To find : What is the range of rejected masses, x, for the manufactured roasted almonds?

Solution :

Let x be the weight of a given pack of roasted almonds.

Each pack of roasted almonds is targeted to weigh 21.25 oz.

A pack must weigh within 0.24 oz of the target weight to be accepted.

This implies |x-21.25| > 0.24

We have to find the range of rejected masses, x, for the manufactured roasted almonds.

We know, |x-a| >b

\Rightarrow -b

So,  |x-21.25| >0.24

\Rightarrow -0.24>(x-21.25)>0.24

-0.24>x-21.25 or x-21.25>0.24

x or x>21.49

Therefore, The range of rejected masses is x or x>21.49 because  |x-21.25|> 0.24

Hence, Option C is correct.

You might be interested in
Keira used yards of fabric to make a quilt. After making the quilt, she had yards of the fabric left.
a_sh-v [17]

Answer: B 11

Step-by-step explanation:

x- 23/3= 10/3

23/3+10/3= 33/3

33/3= 11

Hope this helps!!

3 0
3 years ago
Write 94% as a fraction in simplest form
lana [24]
9.4/10 is the simplest form
8 0
3 years ago
Read 2 more answers
Which choice is equivalent to the quotient shown here when X&gt;0? Square Root 18x divided by square root 32
Marina86 [1]

Answer:

The answer is A

Step-by-step explanation:

3 0
3 years ago
If the area of a triangular kite is 40 square feet and its base is 4 feet, find the height of the kite. Give solution with units
Lemur [1.5K]

Answer:answer it your self dummy

Step-by-step explanation:

7 0
3 years ago
Which is the contrapositive of the conditional statement?
Elena L [17]
The answer is "If it does not have four legs, then an animal is not a deer."

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.
7 0
3 years ago
Other questions:
  • Which of the following is an arithmetic sequence?
    15·1 answer
  • Miss penny inherits $520 She decides to save some of the money and spend the rest The ratio of savings to spending money is 9:4
    9·2 answers
  • What is (2 + 4i) + (-6-4i) simplified? ​
    6·1 answer
  • Find the simple interest
    9·1 answer
  • Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers
    15·1 answer
  • bob bought bill an item that cost 193. bill gave him 200. bob then took 100 out of the 200 to buy bill an item for 93. how much
    8·1 answer
  • Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. M
    5·1 answer
  • Which of the following equations could model the quadratic graphed below:
    14·1 answer
  • Please help!!
    5·1 answer
  • What is the answer of 2 x ____ = -7.7
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!