What is the ratio if counted 14 robins out of 150

Mathematics

1 answer:

ollegr [7]4 years ago

4 0

Answer:

14:150

Step-by-step explanation:

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The thickness of a book varies directly with

Bumek [7]

$\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill$

$\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432$

8 0

2 years ago

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.

Drupady [299]

Step-by-step explanation:

-3x - 10 > 14

-3x > 24 (add 10 to both sides)

x < -8 (divide by -3, flip inequality sign)

The missing step is -3x > 24.

6 0

3 years ago

You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You

xz_007 [3.2K]

Given:
Length of the playground: 125 ft
Width of the playground: 60 ft
Depth of the mulch: 6 inches

Convert ft and inches to yards

1 yard = 3 feet

Length: 125ft/3ft = 41.67 yd
Width: 60ft/3ft = 20 yd

1 ft = 12 inches
Depth: 6 inches * 1ft/12inches = 6ft/12 = 1/2 ft
Depth: 0.5 ft * 1yd/3ft = 0.5yd/3 = 0.17 yd

Volume = Length * Width * Depth
V = 41.67yd * 20yd * 0.17yd
V = 141.68 yd³

V = 125ft * 60ft * 0.5ft
V = 3,750 ft³

1 cubic yard = 27 cubic feet

3,750ft³ * 1yd³/27ft³ = 3,750 yd³ / 27 = 138.89 or 139 yd³ LETTER B.

7 0

3 years ago

A car wheel is 56 cm in diameter. A. How far does the car go in one revolution of the wheel?

andre [41]

The car moved 175.84 cm in one revolution

The car has moved 17584 cm in 100 revolutions

Solution:

Given that car wheel is 56 cm in diameter

diameter = 56 cm

To find: distance traveled in one revolution of wheel

Usually wheel is of circular shape

one revolution of wheel = circumference of circle