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3 years ago

Melissa needs to buy some pencils. Brand A has a pack of 24 penals for $8.77. Brand B has a pack of 26 pencils for $9.54

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Answer:

Brand A is the better buy.

Step-by-step explanation:

You can use proportions to set up and solve this problem.

24 1

----- = ------

8.77 $.365 is the unit price for Brand A

26 1

----- = ----

9.54 $.366 is the unit price for Brand B

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Which is equivalent to 64 Superscript one-fourth?

Schach [20]

Answer:

2 RootIndex 4 StartRoot 4 EndRoot

Step-by-step explanation:

we have

$64^{\frac{1}{4}}$

Decompose the number 64 in prime factors

$64=2^{6}=2^{4}2^{2}$

substitute

$64^{\frac{1}{4}}=(2^{4}2^{2})^{\frac{1}{4}}=2^{\frac{4}{4}}2^{\frac{2}{4}}=2\sqrt[4]{4}$

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3 years ago

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Davia draws a shape with 5 sides . two sides are each 5 inches long. two other sides are each 4 inches long. the perimeter of th

soldier1979 [14.2K]

The fifth side is 9 inches

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3 years ago

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Andreas93 [3]

Step-by-step explanation:

A rational function the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero.

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3 years ago

The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants a

NARA [144]

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

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3 years ago

Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. sin(105°)

LekaFEV [45]

105° can be expressed as 60°+45°. What we have then is sin(60°+45°). The sum pattern for sin is sin(a)cos(b)+cos(a)sin(b). We will fill in as follows: sin(60)c0s(45)+cos(60)sin(45). Now draw those special right triangles in the first quadrant to get the exact values for each. The sin of 60 is $\frac{ \sqrt{3} }{2}$ , the cos of 45 is $\frac{1}{ \sqrt{2} }$ , the cos of 60 is 1/2, and the sin of 45 is $\frac{1}{ \sqrt{2} }$ . When we put all that together we get $( \frac{ \sqrt{3} }{2} * \frac{1}{ \sqrt{2} } )+( \frac{1}{2}* \frac{1}{ \sqrt{2} })$ . Simplifying all of that we have $\frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} }$ . We can put that over the common denominator that is already there and get $\frac{1+ \sqrt{3} }{2 \sqrt{2} }$ . Not sure if that's simplified enough; you may be at the point in class where you are rationalizing your denominator, but I'm not sure, and if you're not, I don't want to confuse you.

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3 years ago