Solve. 2/3x+5/6=3 1/3 Enter your answer as a mixed number in simplest form in the box.

Answers

Answer 1

Answer:

10/3

Step-by-step explanation:

Answer 2

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex]\bf \huge \: Equation \: provided:[/tex]

[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]

[tex]\bf \huge \: Solution:[/tex]

[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]

[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]

[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]

[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]

[tex] \bf \: On \: Simplification:[/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]

[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]

[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]

[tex]\bf On \: Simplification:[/tex]

[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]

[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]

[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]

______________________________________

[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]

[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]


Related Questions

A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1. 9n when 100 ≤ n ≤ 500 1. 8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1. 3c. What is the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them?.

Answers

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?
O A. x= -8 and x = 3
O B. x = -4 and x = 6
O C. x= -6 and x = 8
O D. x= -8 and x = 2
EUR

Answers

Answer:

A

Step-by-step explanation:

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

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solve the following methods

Answers

don't know when you find out tell me

The store ordered an equal amount of flour and rice. Flour is packed in 60 kg and rice in 50 kg. How many kilograms of flour and rice will you order if the store warehouse has a maximum of 22 bags?​

Answers

The answer would be 5

Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?

Answers

about 13 pages i believe

The table shows the heights y (in centimeters) of a plant after x weeks. How many centimeters does the plant grow in one week?

Table:
x: 0, 6, 12
y: 20, 29, 38

Answers

Answer:

29/6 = 4.83.. or 4.8

a number decreased by 23% equals 123

Answers

Answer:

100 is inital value of that decrease

(PLS HELP) The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b=1.75t. At what rate does the candle burn, in inches per hour?

Answers

Answer:

candle burns 1 inch every 1 3/4 hours or 1 inch every 1 hour, 45 minutes

Step-by-step explanation:

0.25(x + 4) - 3 = 28

Answers

Answer:

x = 120

Step-by-step explanation:

0.25(x + 4) - 3 = 28

Multiply 0.25 into the parenthesis

0.25x + 1 - 3 = 28

Combine like-terms

0.25x - 2 = 28

Add 2 to both sides

0.25x = 30

Divide both sides by 0.25

x = 120

The answer is 120

0.25(x+4)-3=28
0.25x+1-3=28
0.25x-2=28
0.25x=30
x=120

Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)

Answers

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

five million four thousand three hundred in standard form

Answers

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

GeniusUserGeniusUser

Dom mowed 2/5 of his lawn. Maddy mowed 1/4 of it. who mowed most. how much more needs to be mowed

Answers

Answer:

Dom mowed the most and 7/20 is how much is left

Step-by-step explanation:

To compare the answer of which is larger you need a like denominator. Maddy: 5/20

Dom: 8/20

Now what is left for them to do is 7/20.

Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

which multiplication can be used to explain the solution to 15 divided by one over 3

Answers

Answer:

3x5=15

5x3=15

Step-by-step explanation:

Please help again forgot everything

Again

Answers

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

What is the reference angle and cosine of StartFraction 7 pi Over 6 EndFraction ?

Answers

Answer:

[tex]\frac{\pi}{6}[/tex] radians

[tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

A reference angle is an acute angle between the terminal arm/terminal side and the x-axis. In this case, the reference angle is [tex]\frac{7\pi}{6}-\pi=\frac{\pi}{6}[/tex].

As for [tex]cos(\frac{7\pi}{6})[/tex], we can identify the value of it using the unit circle as attached below. Recall that points on the unit circle are defined as [tex](cos(\theta),sin(\theta))[/tex], so [tex]cos(\frac{7\pi}{6})=-\frac{\sqrt{3}}{2}[/tex].

Multiply the monomials:
(3/4)pq, (1/2)qr^2, -5q^2r^3 and -6r^5​

Answers

Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=

Answers

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

solve the system of equations

y =2x -9

y = x - 4

Answers

y=2x-9
y=x-4

x-4=2x-9

+9 each side=

x+5=2x

-x each side=

5=x

flip for the final answer of x=5

(PLS HELP <3)
The proportional relationship between the number of songs Stella downloads,
s, and the total cost in dollars and cents, c, can be represented by the equation
c=1.17s. How much does it cost to download a single song?

Answers

Answer:

1.17 dollars!

Step-by-step explanation:

We are given the equation c=1.17s

To break it down, it means that the cost in dollars=1.17 times amount of songs.

Lets plug in 1 for s.

1.17*1=1.17!

For one song, it will cost 1.17 dollars !

1.17 bucks is the answer!
Step-by-step instructions:
The equation c=1.17s is provided to us.
To put it another way, the cost in dollars equals 1.17 times the number of songs.
Let's substitute 1 for s.

In order to verify the equation sin (θ +π/4) =-cosθ. What value would you need to know besides sin (π/4)?
Group of answer choices

a cos (π/4)

b sin (2π/3)

c tan (2π/3)

d cos ((-π)/3)

Answers

Answer: A cos (π/4)

I just took a test with this question and got it right

A train travels at a rate of 150 mph on a flat
plain. How long did it take the train to get from a
distance of 68 miles to 222 miles on its journey?

Answers

Answer:

61 minutes and 36 seconds

Step-by-step explanation:

150 mph is equal to 2.5 miles per minutes divide miles by 2.5

It takes 0.5 gallon of cream to make 1 pound of butter.

How much butter could you make with 0.25 gallons of cream?

Answers

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

For more information about ratio and proportion,

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HELP THIS IS DUE TODAY!!!!!!!!

Answers

Answer:

the loop is going by 4

Step-by-step explanation:

the loop is going on by four

NO LINKS PLEASE! AND NO NEGATIVITY!

Answers

D because the rest have the same terms which are either all p’s at the end of the number or all m’s or nothing

What is the perimeter?
8 m
4 m
4 m
12 m
meters
Submit

Answers

add all of the numbers together, 28m is the final answer

Helpppp me please omg

Answers

the first graph looks right

Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?​

Answers

I should be any more points for this but 26 per cubic meter he only has 1500 but that’ an answer of 14,000 600 m³

I need to solve for G in the following equation

Answers

So the square root of it is
2G-N=T
+N +N
2G=T+N
-divide both sides by 2
G=T+N /2

Helppppp, please look at the question

Answers

Ok done. Thank to me:>
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