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dolphi86 [110]
3 years ago
5

An airplane can ascend at a rate of 54 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

Answer:

The airplane ascends 81\,\frac{3}{4} meters in one second.

Step-by-step explanation:

Given that the airplane ascends 54\,\frac{1}{2} (\frac{109}{2}) meters in \frac{2}{3} seconds, we calculate the ascent rate of the airplane by simple rule of three:

x = \frac{\frac{109}{2}\,m }{\frac{2}{3}\,s } \times 1\,s

x = \frac{327}{4}\,m

x = 81\,\frac{3}{4}\,m

The airplane ascends 81\,\frac{3}{4} meters in one second.

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Step-by-step explanation:

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2 years ago
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Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2. What is the surfa
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Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface  area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area  of the pyramids

\frac{12.2}{16} : \frac{x}{56}

x = 12.2 ×56×\frac{1}{16}

by solvingthe above terms

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x =42.7cm²

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3 years ago
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The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $5.50 and bags of cookies c
vaieri [72.5K]

Let's assume

the number of bags of candy =x

the number of bags of cookies =y

There were 5 more bags of cookies sold than candy

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y=x+5

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so, total cost of candy is

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bags of cookies cost $3.50

so, total cost of cookies is

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so,

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we get

total cost =5.50x+3.50y

so, we can plug

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90x+175-175=535-175

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y=x+5

y=4+5

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so,

the number of bags of candy =4

the number of bags of cookies =9............Answer


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2 years ago
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