All categories

2 years ago

What is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1

Mathematics

1 answer:

PtichkaEL [24]2 years ago

7 0

Step-by-step explanation:

2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1

2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)

2/5(x+4)-3/5(2x+3) = -2/5(2-x)

2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)

2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5

(take like terms)

2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5

( Find their L.C.M ) (5 is the LCM)

2x - 6x -2x / 5 = -4 - 9 - 8 / 5

-10x / 5 = -13 / 5

( cross multiply)

-50x = -65

x = -65/50

x = -1.3 ( decimal)

or x = 13/10 (improper fraction)

or x = 1 ³/10 ( mixed fraction).

Hope this helps.

Good luck.

If you have any questions, you're free to ask.

You might be interested in

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade fo

Gre4nikov [31]

Answer: 0.5049

Step-by-step explanation:

The probability that the first card drawn is a heart is 13/52 = 1/4

The probability that the second card drawn, without replacement, is a spade is 13/51

So the probability of drawing a heart for the first card and spade for the second card is

1/4 + 13/51 = 103 / 204 = 0 5049

8 0

3 years ago

PLEASE HELP QUICK!!!!!!1

Lana71 [14]

volume of pyramid = 1/3(area of the base)(height)

volume = 1/3(8x6)(9) = 3x48 = 144 in^3

answer: 144 in^3

4 0

4 years ago

Read 2 more answers

PLS GIMME ANSWER OR IM FAILING THIS

Sholpan [36]

Answer:

2/7

Step-by-step explanation:

-1 1/7 + 6/7 = -8/7 + 6/7 = 2/7

6 0

3 years ago

Read 2 more answers

X + 2y = 3<br> 3x - 2y = 5<br> What is the solution to the system of equations?

Oduvanchick [21]

Step 1: -3(x+2y=3)
Step 2: -3x-6y=-9
Step 3: 3x cancels out with -3x
Step 4: add 2y and -2y, and add 3 and 5
Step 5: the answer is NO SOLUTION or INFINITE SOLUTION

5 0

3 years ago

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

3 years ago

What is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1​

What is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1