<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%2B%202x%7D%7B6x%20%5C%3A%7D%20%20%3D%20%20%5Cfrac%7B12%7D%7B5x%7D%20%20%2B%2

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3 years ago

0%20%5Cfrac%7B2%7D%7B15%7D%20" id="TexFormula1" title=" \frac{4 + 2x}{6x \:} = \frac{12}{5x} + \frac{2}{15} " alt=" \frac{4 + 2x}{6x \:} = \frac{12}{5x} + \frac{2}{15} " align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Reika [66]3 years ago

8 0

Answer: x= 26/3

Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.

Let's solve your equation!

4 + 2x /6x = 12/5x

2x + 4/6x= 12/5x + 2/15

Multiply all terms by x and cancel:

2x + 4/6= 12/5
1/3x + 2/3 = 2/15x = 2/15x + 12/5 - 2/15x (Subtract 2/15x from both sides)
1/5x + 2/3 = 12/5
1/5x + 2/3 -2/3 = 12/5- 2/3 (subtract 2/3 from both sides)
1/5x = 12/5
Multiply both sides by 5
Check all your answers,
x= 26/3

Marianna [84]3 years ago

5 0

X=26/3 is the answer to your question x

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3 years ago

Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of

Lunna [17]

C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
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3 years ago

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0

3 years ago