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igomit [66]
3 years ago
15

Adam can buy pencils in packages of 12 for $2.19, 40 for $3.99, 50 for $4.75, or 100 for $10. How many pencils are in the packag

e with the lowest unit cost
Mathematics
2 answers:
scoray [572]3 years ago
6 0

Answer:

50 pencils

Step-by-step explanation:

2.19/12 = .18

3.99/40 = .09975

4.75/50 = .095

10/100 = .10

Although with mark-up to the hundredths place, there wouldn't be a logical difference is stores...

leonid [27]3 years ago
5 0

Answer:

50 for $4.75

Step-by-step explanation:

First step is to determine the unit cost of each pencil:

price of pack / number of units = cost per pencil

1. $2.19 / 12 = $0.1825

2. $3.99 / 40 = $0.09975

3. $4.75/ 50 = $0.095

4. $10 / 100 = $0.10

The correct answer is $4.75 for 50 pencils because it is the lowest per unit cost.

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How would the fraction <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B1-%5Csqrt%7B5%7D%20%7D" id="TexFormula1" title="\frac{
allsm [11]

Answer:

\frac{7 + 7 \sqrt{5} }{ - 4}

Step-by-step explanation:

We would multiply the fraction by its conjugate

( A conjugate is a expression that has the same integer or number values but have different signs) for example

5x + 2

and

5x - 2

ARE Conjugates.

The conjugate of

1 -  \sqrt{5}

is

1 +  \sqrt{5}

So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.

Our new numerator will be

7 \times (1 +  \sqrt{5} ) = 7 + 7 \sqrt{5}

We can apply the difference of squares for the denominator.

(x + y)(x - y) = x {}^{2}  -  {y}^{2}

So our denominator will be

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So our rationalized fraction will be

\frac{7 + 7 \sqrt{5} }{ - 4}

7 0
3 years ago
A cone has a base diameter of 20 centimeters. Its height is 30 centimeters. Calculate the volume in cubic centimeters to the nea
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Answer:

The volume of the cone is 3140cm³

Step-by-step explanation:

Volume of come = 1/3 × πr²h

r = diameter/2 = 20/2 = 10cm

h = 30cm

π = 22/7

Volume = 1/3 × 22/7 × 10² × 30

Volume = 1/3 × 22/7 × 100 × 30

Volume = 3142.86cm³

Volume = 3140cm³

5 0
3 years ago
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