Which value x makes the equation 0.75(x+20)=2+0.5(x-2)

Answers

Answer 1
Answer:

The value of x that will make both equations to be equivalent to each other is = -56

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

\mathsf{(0.25x)/(0.25) =( - 14)/(0.25)}

x = -56

Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56

Learn more about solving algebraic equations here:

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Answer 2
Answer:

0.75(x+20)=2+0.5(x-2)

Distribute on both sides

0.75x+15= 2+0.5x-1

Add common factors

0.75x+15=1+0.5x

Subtract 0.5x on both sides

0.25x+15=1

Subtract 15 on both sides

0.25x=-14

Divide by 0.25 on both sides

x = -56


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Whats the equivalent fraction to 11/17

Answers

A simple way to find an equivalent fraction to (11)/(17) is to multiply both denominator and numerator. 

So:

11*2=22\n17*2=34\n\n (22)/(34)
An easy way to remember equivalent fractions is to multiply the numerator and denominator by the same number so that it will be an unsimplified version of the fraction, but it's the same.

Write each number sentence in the box below the better estimate

Answers

um.....where's the picture or answers to the questions that we have to pick

$900 deposited at an interest rate of 3% for 5 years

Answers

.03 times 900 is 27

27 times 5 is $135
I=PRT
P for Price/Principle amount
R for Rate
T for Time in years
I=$900×0.03×5       (3%=(3)/(100)=0.03)
 =$135
Interest=$135
If they want you to find how much is left by the end of the 5th year, you do this:
Original+Interest
$900+$135
=$1035

How are a common denominator and a common multiple alike and different?

Answers

The Common Denominator is the bottom part of a fraction which has been matched to 2 or more fractions. For example 1/2 + 1/4 is easier if you use 2/4 + 1/4 = 3/4. You can also use it for 3/5 + 1 2/3 Becomes 3/5 + 5/3 (Improper fraction) and you change that to 9/15 + 25/15 = 34/15 = 2 4/15
A common denominator and common multiple are alike because they both go on the bottom portion of the fraction and in order to get the common denominator you need to find the common multiple of numbers.

They are different because they have different purposes and the common denominator stays the same and the common multiple is supposed to change both or one number.


hope this helped

A line has a slope of 2/3 and a y-intercept of −5.Which equations represent the line?

Choose all answers that are correct.

A.-2x + 3y = -15

B.y= 2/3x - 5

C.6y = 4x - 30

D.(y + 3) = 2/3 (x - 3)

Answers

B because there is no number for y and it's already in slope intercept form so the 2/3 is the slope and -5 is the y intercept y=2/3-5 which is B

360 customers in 30 days in Ratio form

Answers

I think it's 360:30 Or it can be simplified to 12:1
360 customers: 30 days