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Aleksandr-060686 [28]
3 years ago
7

A contractor purchases 7 dozen pairs of padded work gloves for $103.32. He incorrectly calculates the unit price at $14.76 per p

air? What is the correct price?What error did the contractor likely make?
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

The correct unit price would be $1.23.

The contractor divided 103.32 by 7, resulting in an error.

Step-by-step explanation:

If we know a dozen equals 12, then 7 dozen looks like:

7(12)

Multiply.

84

Now we know the contractor purchases 84 pairs of padded work gloves.

Let's find our unit price:

<em>unit price =</em> \frac{cost}{units}

Substitute.

<em>unit price = </em>\frac{103.32}{84}

Divide.

<em>unit price = </em>1.23<em />

<em>__</em>

To find the error of the contractor, let's try substituting in a number (7) provided in the question to see if we get $14.76 per pair:

\frac{103.32}{7}

Divide.

14.76

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Terry sees this offer refurbished phone 35% off now only ?78 what was the original price
Ronch [10]

Answer:

$223.

Step-by-step explanation:

Let x be the original price of phone.          

We are told that Terry sees this offer refurbished phone 35% off now only $78.

We need to find x such that 35% of x is 78. We can represent this information as:

\frac{35}{100} x=78

0.35 x=78

x=\frac{78}{0.35}    

x=222.8571428571428571\approx 223

Therefore, the original price of phone was $223.

   

3 0
3 years ago
Distance between -18 and -4
JulijaS [17]

Hey there! I'm happy to help!

To find the distance between two numbers, you simply subtract them!

-18--4

-18+4 (two negatives makes a positive)

-14.

Have a wonderful day! :D

4 0
3 years ago
According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \mu and standard deviation \sigma, is given by:  

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • Each z-score has an associated p-value, which is the percentile.

  • The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
  • The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
  • The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
  • Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0
2 years ago
A(2, 3) is reflected over the x-axis , where is the point reflected
Zina [86]

Answer:

Point D

Step-by-step explanation:

Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D.

7 0
3 years ago
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori
m_a_m_a [10]

Answer:

The number of seashells he have in his collection all together is <u>140</u>.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be x.

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

35\%\ of\ x=49.

⇒ \frac{35}{100} \times x=49

⇒ 0.35\times x=49

⇒ 0.35x=49

Dividing both sides by 0.35 we get:

⇒ x=140.

Therefore, the number of seashells he have in his collection all together is 140.

4 0
3 years ago
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