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Yakvenalex [24]
3 years ago
8

a warehouse store sells 5.5-ounce cans of tuna in packages of 6. a package of 6 cans costs $9.24. the store also sells 6.5-ounce

cams of the same tuna in packages of 3 cans for $4.68. it also sells 3.5-ounce cans in packages of 4 cans for $4.48. which package has the lowest cost per ounce of tuna?
Mathematics
2 answers:
Allushta [10]3 years ago
6 0
9.24 / (5.5 * 6) = 9.24 / 33 = 0.28 per oz

4.68 / (6.5 * 3) = 4.68 / 19.5 = 0.24 per oz

4.48 / (3.5 * 4) = 4.48 / 14 = 0.32 per oz

so the lowest cost is the 6.5 oz tuna in packs of 3 cans for 4.68
liberstina [14]3 years ago
5 0

Answer:

Second package costs the lowest.

Step-by-step explanation:

A ware house sells tuna cans weighing = 5.5 ounce

It sells the cans of tuna in the package of 6.

Weight of 6 cans = 5.5×6 ounce

Cost of the 6 cans = $9.24

Therefore, cost of 1 tuna can = \frac{9.24}{5.5\times 6}=0.28per oz

Now weight of second type of tuna can = 6.5 ounce

Weight of 3 cans = 3×6.5 = 19.5 ounce

Cost of 3 tuna cans = $4.68

Cost of 1 tuna can = \frac{4.68}{19.5}

                              = $0.24 per oz.

Similarly cost of third type of tuna can = \frac{4.48}{4\times 3.5}

                                                                = $0.32 per oz

Second package has the lowest cost per ounce of tuna.

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Answer:

William weighs 111 pounds.

Step-by-step explanation:

N = x+6

W = x

T = x-3

x+6+x+x-3=336

3x + 3 = 336

3x = 336 - 3

x = 333/3

x = 111

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The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
Find the volume of the cone.
8_murik_8 [283]

Answer:

V=471\ \text{units}^3

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

V=\pi r^2 h

Substitute all the values,

V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3

So, the volume of the cone is 471\ \text{units}^3.

4 0
3 years ago
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