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svet-max [94.6K]
3 years ago
9

Luke can buy bottles of water in packages of 6 for $15.24 or in packages of 4 for $11.16. How much money does he save by buying

48 bottles of water at the better price?
Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

6\ for\ \$15.24\ is\ better\ price\\\\Total\ saving=\$12

Step-by-step explanation:

Cost at the rate 6 for $15.24:

Cost of 6 bottles=\$15.24

Cost of 1 bottle=\$\frac{15.24}{6}

Cost of 48 bottles=\frac{15.24}{6}\times 48=15.24\times 8=\$121.92

Cost at the rate 4 for $11.16:

Cost of 4 bottles=\$11.16

Cost of 1 bottle=\frac{11.16}{4}

Cost of 48 bottles=\frac{11.16}{4}\times 48=11.16\times 12=\$133.92

Hence 6\ bottles\ for\ 15.24 is less expensive.

Total saving=133.92-121.92=\$12

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A circular pond 24 yd in
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Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

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3 years ago
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Answer:

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Step-by-step explanation:

2x + 7 = 27 OR 3 + 3x = 30.

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Dylan's expenditures for each of the past six months were: March $1,248.59; April, $1,365.38; May, $1,024.30; June, $1,100.40; J
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Answer:

The average monthly expenditure is 1,155.35 $.

Step-by-step explanation:

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average = (March+ April + May + June + July+ August)/6

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