How do you solve an equation with Fractions?Ex. 1/2(7x + 48)
Ex. -(1/2 x -3)+4(x + 5)

Answers

Answer 1
Answer:

Its best to turn fractions into decimals so its easier to solve the problem, in order to do this you would divide the number on the top to the number on the bottom. Ex: 1 divide by 2 So the numerator divided by the denominator. The top of the faction is the numerator and the bottom of the faction is the denominator. So 1 divided by 2 = 0.5 you would replace 0.5 for the 1/2.










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Which expression best represents the difference between triple a number and double a number?

Answers

you start of with a number, ( this number can be any number) so think of it as an unknown number. the  number shall be denoted as xso you have xyou want triple the number3xyou also want to double the number2xyou want the difference so you subtract these two terms3x-2x

there is a total of 25 bicycles. if the ratio of gray bicycles to black bicycles is 6 to 9 how many of them are black?

Answers

25 bicycles
gray : black
6 : 9 (6+9=15)

25 divided by 15 = 1.666666667
x 9 (that's how many blacks)
= 15
there are 15 blacks

Final answer:

To find the number of black bicycles in a total of 25 bicycles given a ratio, divide the total number of bicycles by the total number of parts in the ratio and multiply by the number of parts representing black bicycles.

Explanation:

To find the number of black bicycles, we first need to find the total number of parts in the ratio. The ratio of gray bicycles to black bicycles is 6 to 9, which means the total number of parts is 6 + 9 = 15. We can then calculate the number of black bicycles by dividing the total number of bicycles by the total number of parts and multiplying by 9. So, the number of black bicycles is (25/15) x 9 = 15 bicycles.

Learn more about Ratio and Proportion here:

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Graph the line that represents this equation: 25 PTS

Answers

Answer:

y=1/2x.

Step-by-step explanation:

First, you would like to distrubte the fraction to make it become: 1/2x+1 on the right side. Second you would like to put it in y=mx+b form. Isolate y to y=1/2x. Then, you can start on (0,0), the orgin and they go up 1 and over 2 right.

Using place value to exchange equal amounts when renaming a number is called

Answers

Using place value to exchange equal amounts when renaming a number is called : RegroupSimple example for a group is when you try to add up :86 + 2586 has 8 group of tens and 6 groups of one25 has 2 groups of tens and 5 groups of oneafter adding that up , now the number has 11 group of tens and 1 group of one, the result of that equation would be : 110

Substitute -2 into negative 2Y minus 8X equals six

Answers

When the value of x = -2 then, the value of y is 5.

When the value of y = -2 then the value of x is -0.25

Explanation:

Given:

-2y - 8x = 6

Considering x = -2

Then, we have to substitute the value of  x = -2 in the equation.

-2y - 8(-2) = 6

-2y + 16 = 6

10 = 2y

y = 5

So, when the value of x = -2 then, the value of y is 5.

Considering y = -2

Then, we have to substitute the value of  y = -2 in the equation.

-2 (-2) - 8x = 6

4 - 8x = 6

-2 = 8x

x = -0.25

So, when the value of y = -2 then the value of x is -0.25

Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

Answers

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
(8)/(3)*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
((8)/(3)*9)*(1)/(4)

, or dividing everything by 4.
((8)/(3)*9)/4

Finally, subtract three.

The final equation would read:
(((8)/(3)*9)*(1)/(4))-3



Using PE(M/D)(A/S), we'd start with (8)/(3)*9

3 and 9 cancel out to be 1 and 3, leaving us with (8)/(1), or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is (24)/(4), which is 6.

Lastly we subtract 3 from six, leaving us 3.

¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3

Further explanation

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Product of eight thirds and nine

(8)/(3) * 9

One-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 )

Three less than one-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 ) - 3

= (1)/(4) * ( (8 * 9)/(3) ) - 3

= (1)/(4) * ( (72)/(3) ) - 3

= (1)/(4) * 24 - 3

= (1 * 24)/(4) - 3

= (24)/(4) - 3

= 6 - 3

= \boxed {3}

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent