Mathematics : asked on 5001Je

09.08.2020

Write the mixed number as a decimal.

110 9/12
Enter the correct answer in the box.

0

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09.07.2023, solved by verified expert

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

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110.75

Step-by-step explanation:

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Mathematics

Write the mixed number as a decimal. 110 9/12 Enter the correct answer in the box.

Step-by-step answer

P Answered by Master

110.75

Step-by-step explanation:

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}$

$110\frac{9}{12}=\frac{110\cdot 12+9}{12}=\frac{1329}{12}$

$\mathrm{Write\:the\:problem\:in\:long\:division\:format}$

$12\overline{|\smallspace1329}\:\:\:$

$\mathrm{Solve}$

$\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace0.\emptyspace7\emptyspace5\:\:\:\:\:\:\:\\ 12\overline{|\smallspace1329.0\cdot \:0}\:\:\:\:\:\:\:\\ \underline{\emptyspace1\emptyspace2}\\ \emptyspace1\emptyspace2\\\\ \underline{\emptyspace1\emptyspace2}\\\ \emptyspace0\emptyspace9\\\ \underline{\emptyspace0}\\\ \emptyspace9\emptyspace0\\\ \underline{\emptyspace8\emptyspace4}\\\ \emptyspace6\emptyspace0\\\ \underline{\emptyspace6\emptyspace0}\:\\ \emptyspace0\;\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{1329}{12}\:\mathrm{is}\:110.75$

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Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

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A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

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Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

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Step-by-step answer

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Step-by-step answer

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