Mathematics : asked on ogiebert

17.01.2023

Write the mixed number as a decimal.

80 2/5
Enter the correct answer in the box.

0

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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80.4

Step-by-step explanation:

~Lenvy~

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Mathematics

Write the mixed number as a decimal. 80 2/5 Enter the correct answer in the box.

Step-by-step answer

P Answered by Specialist

80.4

Step-by-step explanation:

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

$80\frac{2}{5}=\frac{80\cdot 5+2}{5}=\frac{402}{5}$

$\mathrm{Now\;Divide \;402\;by\;5}$

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

$5\overline{|\smallspace402}\:$

$\mathrm{Divide\;40\;by\;5\;to\;get\;8}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{Divide\;2\;by\;5\;to\;get\;0}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace0.\:\:\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{Divide\;20\;by\;5\;to\;get\;4}$

$\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace0.\emptyspace4\:\:\:\:\:\:\:\:\:\\ 5\overline{|\smallspace402.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\\ \underline{\emptyspace2\emptyspace0}\:\:\:\:\:\:\:\:\:\:\\ \emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{402}{5}\:\mathrm{is}\:80.4$

~Lenvy~

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

Determine the area of a rectangle with length of 12.4 cm and a width of 8.8 cm.

Step-by-step answer

P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics

If a rectangular prism has a length, width ,and height of 3/8 centimeter,5/8 centimeter, and 7/8 centimeter, respectively, then the volume of the prism is ?

Step-by-step answer

P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

=105/512 cm3

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