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astraxan [27]
2 years ago
13

Elisabeth reads 1/5 of her book in 1 1/2 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to rea

d 3/4 of the book? Enter your answer as a mixed number in simplest form by filling in the boxes.
Mathematics
1 answer:
djverab [1.8K]2 years ago
6 0

It will take her  5 5/8 hours to read 3/4 of the book

<h3>Ratio and proportions</h3>

Given that Elisabeth reads 1/5 of her book in 1 1/2 hours, this is expessed as:

0.2 of a book = 1.5 hours

In order to determine the time taken to read 0.75 part of the book, we will have:

0.75 of a book  = x

Take the ratios

0.2/0.75 = 1.5/x

0.2x = 1.125

x = 1.125/0.2

x =  5.625

Hence it will take her  5 5/8 hours to read 3/4 of the book

Learn more on ratio and proportion here: brainly.com/question/19994681

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mote1985 [20]

Answer:

tan2θ = 4√2/7

Step-by-step explanation:

Given sin theta=1/3 and 0 < theta< π/+

Required

tan 2 theta

tan2 theta = 2tanθ/1-tan²θ

Get tan θ

sinθ = opp/hyp

adj = √3²-1²²

adj = √9-1

adj = √8

tanθ = opp/adj = 1/2√2

tan2 theta = 2(1/2√2/1-(1/2√2)²

tan2θ = 1/√2/1-1/8

tan2θ = 1/√2/7/8

tan2θ =  8/7√2

Rationalize

tan2θ = 8√2/14

tan2θ = 4√2/7

6 0
2 years ago
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height o
Vinil7 [7]

Answer:

G(T(x)) = 27(x + 6.9)

Step-by-step explanation:

Given

T(x) = 9(x + 6.9)

G(x) = 3x

Required [Missing from the question]

G(T(x))

We have:

G(x) = 3x

This implies that:

G(T(x)) = 3(T(x))

Substitute: T(x) = 9(x + 6.9)

G(T(x)) = 3[9(x + 6.9)]

Open bracket

G(T(x)) = 27(x + 6.9)

6 0
3 years ago
The mean length of 10 childrens' index finger is 12.6cm.
ICE Princess25 [194]

Get total lengths by multiplying:

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6 x 16.1 = 96.6

Add the total lengths together and divide by 16:

126 + 96.6 = 222.6


222.6 / 16 = 13.9125

Rounded to 2 decimal places = 13.91


answer: 13.91

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2 years ago
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for the graph the domain is (-∞,<span>∞</span>)
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