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Lyrx [107]
4 years ago
13

A store donated cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many c

rayons did the center receive?
Mathematics
1 answer:
sveticcg [70]4 years ago
5 0

Answer:

192 crayons

Step-by-step explanation:

The store donates cases of crayons to a day care center.

Your question did not specify how many cases there are in total.

Cases: ?? (In this case I'll assume there are only one case)

Each case holds 24 boxes of crayons:

Total # of boxes in one case: 24 boxes

Each box contains 8 crayons:

To find total amount of crayons received you have to multiply:

# of cases x 24 boxes x 8 crayons= Total number of crayons received.

If I assume there is only 1 case then-->

1 case of crayon x 24 crayon boxes x 8 crayons= 192 total crayons

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Answer:

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Step-by-step explanation:

  • Given data is: 71, 67, 67, 17, 69, 84, 21, 87

  • Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87

  • Here N = 8 (Even number)

  • N/2 = 4 and N/2 + 1 = 5

  • 4th term = 67, 5th term = 69

  • -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66

  • Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87

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  • -> new median > initial median

CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.

5 0
2 years ago
Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b
Veronika [31]

Answer:

\textbf{y = 9x + 21 }\\

Step-by-step explanation:

\textup{Given equation is: $4x + 36y = 80  $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\

\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\

\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\

$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }

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4 years ago
Fully explain the solution set to the equation below.<br> 1x = -1
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Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

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3 years ago
Use the quadratic formula to answer the question below.
ra1l [238]

Answer:

x = -2.32, 10.32 to the nearest hundredth.

Step-by-step explanation:

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= 4 +/- 6.3245

=  -2.32, 10.32.

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3 years ago
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