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NARA [144]
1 year ago
11

Mr. Borkowski ordered 3 boxes of pens for the supply room. There are 12 pens in each box. If there are now a total of 96 pens in

the supply room, including the ones Mr.Borkowski added, how many boxes of pens were already in there before his order arrived?
Mathematics
1 answer:
Sloan [31]1 year ago
4 0

Answer:

11 boxes

Step-by-step explanation:

multiply 3 by 12 then add the product of that to 96 pens then divide the sum which is 132 by 12 and you should get 11.

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Dev has 9 shells. Zoe has 55 shells, Zoe gives some shells to Dev. Now zoe has 3 times as many shells as dev. How many shells do
Goryan [66]

Answer:

number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

Step-by-step explanation:

let the initial number of shells that dev has be A, and initial number of shells that zoe has be B.

let the number of shells that zoe gives to dev be x.

after giiving x shells zoe is left with 3 times the number of shell as that of dev.

therefore number of shells with zoe = 3×number of shells with dev.

number of shells with zoe = initial shells - x = 55-x

number of shells with dev = initial shells + number of shells he gets

                                            = 9+x

therefore (55-x)=3×(9+x)

55-x = 27+3x

55-27=3x+x

4x = 28

x= 7

therefore number of shells zoe gives to dev  = 7

number of shells zoe is left with  = 55-7= 48

number of shells dev has = 9+7=16

6 0
1 year ago
In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what
alukav5142 [94]

Answer:

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( tutor charges between $10 and $20 per hour)

P(10 \leq x \leq 20)\\\\ = P(\displaystyle\frac{10 - 15}{5.25} \leq z \leq \displaystyle\frac{20-15}{5.25})\\\\ = P(-0.9523 \leq z \leq 0.9523)\\\\= P(z \leq 0.9523) - P(z < -−0.9523)\\= 0.8295 - 0.1705= 0.659

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

5 0
2 years ago
he temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the
PIT_PIT [208]
We have that
<span>K = C + 273.15
solve for C
subtract 273.15 both sides
K-273.15=C
C=K-273.15

the answer is
</span>C=K-273.15<span>


</span>
5 0
2 years ago
Read 2 more answers
In your internship with Lewis, Lee, &amp; Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
Allushta [10]

Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

                                       = 120,000  × 40%

                                       = $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

                                                         = $28,000

Calculate increase in retained dividend :

calculate the increase sales :

        increased sales = 200,000 × (1 + 0.40)

                                   = 280,000

calculate profit margin for next year on increase sales :

      Profit margin on increased sales = 280,000 × 20%

                                                             = $56,000

Calculate retained earning :

       Retained earning = profit - payout of profit

                                     = 56,000 - ( 56,000 × 25% )

                                     = 56,000 - 14,000

                                     = $42,000

Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

       = 48,000 - 28,000 - 42,000

       = -$22,000

Option B. is the answer.

6 0
2 years ago
Find the indicated values: <br> Given: OA=AC=2<br> AB is a tangent line<br> Find: AB
nlexa [21]

Step-by-step explanation:

OA=AC=OC=2 (equal triangle)

which means angle O =60 degree

tan 60 = AB / 2

AB = 2 tan 60 =

2 \sqrt{3}

3 0
1 year ago
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