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22.10.2020

3a-2/3+2a+3/2=a+7/6.find a

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09.07.2023, solved by verified expert

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Mathematics

3a-2/3+2a+3/2=a+7/6.find a

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P Answered by Master

I think your question seems to be ;

${\:\implies \quad \sf 3a-\dfrac23 +2a+\dfrac32 =a+\dfrac76}$

So I will be solving for that ;

${\:\implies \quad \sf 3a+2a+\left(\dfrac32 -\dfrac23\right)=a+\dfrac76}$

${\:\implies \quad \sf 5a+\left(\dfrac{9-4}{6}\right)=a+\dfrac76}$

${\:\implies \quad \sf 5a+\dfrac56 =a+\dfrac76}$

${\:\implies \quad \sf 5a-a=\dfrac76 -\dfrac56}$

${\:\implies \quad \sf 4a=\dfrac{7-5}{6}}$

${\:\implies \quad \sf 4a=\dfrac26}$

${\:\implies \quad \sf 4a=\dfrac13}$

${\:\implies \quad \sf a=\dfrac{1}{3\cdot 4}}$

${\:\implies \quad \bf \therefore \quad \underline{\underline{a=\dfrac{1}{12}}}}$

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

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

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

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P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

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

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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

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P Answered by PhD

The answer is in the image

The answer is in the image

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?

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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

Nick received an 82.5% on his math test. How many questions did he get right if there were a total of 40?

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Of the 420 students enrolled in basic math, only 30% are first-year students. How many are first-year students? How many are not?

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P Answered by PhD

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students

Mathematics

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

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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

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