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blsea [12.9K]
3 years ago
12

Evita lives 0.85 mile from her school . write this distance as a fraction in simplest form

Mathematics
2 answers:
Anna [14]3 years ago
4 0

Answer:

\frac{17}{20}\text{ miles }

Step-by-step explanation:

When we write a terminating decimal as a fraction,

Then we follow the below steps,

Step 1 : Write the number with denominator 1,

Step 2 : multiply numerator and denominator by an exponent of 10 ( like 10, 100, 100 etc ) to eliminate the decimal,

Step 3 : simplify the fraction by dividing both numerator and denominator by the HCF of numerator and denominator,

Here, the given number,

0.85

=\frac{0.85}{1}

=\frac{0.85\times 100}{100}

=\frac{85}{100}

=\frac{85\div 5}{100\div 5}  ( HCF (85, 100) = 5 )

=\frac{17}{20}

gtnhenbr [62]3 years ago
3 0
.85 is in the hundredths place so your fraction will be 85/100 then you divide it by 5 and get 17/20 as your answer. Hope this helps

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8(2x + 3x + 2) = -4x + 148 step by step?
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Answer:

3

Step-by-step explanation:

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3 0
3 years ago
Additive verse 2 step equation 2g+44=50+g
castortr0y [4]

Answer:

6

Step-by-step explanation:

2g + 44 = 50 + g

=  > 2g - g = 5 0 - 44

=  > g = 6

So answer is 6 .

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#IndianMurga(. ❛ ᴗ ❛.)

6 0
3 years ago
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

 21^2+y^2=29^2

 y^2=29^2+21^2

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Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

 (21)*\frac{dx}{dt} +(35.81)*(-7) =0

 (21)*\frac{dx}{dt} -250.64 =0

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5 0
3 years ago
A circular racetrack
makkiz [27]
Circle Circumference= 2πr
Diameter is given, but the formula requires the radius.

Radius= diameter ÷ 2= 1/2 ÷ 2= 1/2 * 1/2= 1/4= 0.25

C= circumference
π= 3.14

C= 2πr
substitute in numbers
C= 2(3.14)(.25)
C= 1.57 rounded to 1.6 miles

ANSWER: 1.6 miles

Hope this helps! :)
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3 years ago
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