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3 years ago

How to convert 5 1/4 into a decimal

Mathematics

1 answer:

Katen [24]3 years ago

5 0

5 1/4 as a decimal is 5.25

this is because 1/4 is equal to 25/100

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There's are 8 students who have 3/4 of a cake they want to share. How much of the cake will each student get if they spilt it ev

dmitriy555 [2]

Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.

Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

3 0

3 years ago

Read 2 more answers

Solve 4e^2x-3=12 please help

Anestetic [448]

$4*e^{2x} -3 = 12$

Step 1:

Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.

$4*e^{2x} = 12+3$

$4*e^{2x} = 15$

Step 2:

Next we have 4 in multiplication on left side, so dividing right side by 4,

$e^{2x} = 15/4$

$e^{2x} = 3.75$

Step 3:

taking log on both sides

$ln ( e^{2x}) = ln(3.75)$

${2x} =ln 3.75$

Step 4:

Dividing right side by 2,

x= ln (3.75) /2 = 0.66088

Answer : x = 0.66088..

5 0

2 years ago

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Alex made an eyeglass case and sold it for $12.00. He spent $1.29 on felt and $2.75 on a needle and thread. What was his profit?

madreJ [45]

D because 1.29 plus 2.75 is 4.04(the money that he used to make the case) and subtract that with $12 and you get $7.96 as the profit.

5 0

2 years ago

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(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

6 0

2 years ago

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Find the percent increase. Round to the nearest percent. From 85 books to 143 books The percent increase is

klasskru [66]

We are given :

Initial = 86
Final = 143

Let's find the percent increase with the help of formula:

$\boxed{ \sf \: formula : 100 \times \frac{(final - initial)}{initial} }$

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

$\tt \% \: increase = 100 \times \frac{(143 - 85)}{85}$

$\tt \% \: increase = 100 \times \frac{58}{85}$

$\tt\% \: increase = 20 \times \frac{58}{17}$

$\tt\% \: increase = \frac{1160}{17}$

$\tt\% \:increase = 6823.53$

3 0

1 year ago