All categories

2 years ago

Solve image below:

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer: $x=\frac{6}{-3y+8}$

Step-by-Step Explanation:

Let's solve for $x$ .

$\frac{x-2}{3y-5} =\frac{x}{3}$

Step 1: Multiply both sides by $3y-5$ .

$x-2=\frac{3xy-5x}{3}$

Step 2: Multiply both sides by $3$ .

$3x-6=3xy-5x$

Step 3: Add $-3xy$ to both sides.

$3x-6+-3xy=3xy-5x+-3xy$

$-3xy+3x-6=-5x$

Step 4: Add $5x$ to both sides.

$-3xy+3x-6+5x=-5x+5x$

$-3xy+8x-6=0$

Step 5: Add $6$ to both sides.

$-3xy+8x-6+6=0+6$

$-3xy+8x=6$

Step 6: Factor out variable $x$ .

$x(-3y+8)=6$

Step 7: Divide both sides by $-3y+8$ .

$\frac{x(-3y+8)}{-3y+8}=\frac{6}{y-3y+8}$

$x=\frac{6}{-3y+8}$

Answer:

$x=\frac{6}{-3y+8}$

You might be interested in

Expand (x-2) (x-1). Must be in polynomial form.

Ludmilka [50]

To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:

We have two terms: (x - 2)(x - 1)

We should first multiply the First two terms of each term in order to complete the F stage:

(x)*(x) = $x^{2}$

So then, we take the two outer terms and multiply them together to complete the O stage:

(x)*(-1) = -x

So far we have two things that we have calculated; at the end of the FOIL process we will have four.

To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:

(-2)*(x) = -2x

Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:

(-2)*(-1) = 2

Now that we have our four terms, let us add them together and combine like terms:

$x^{2} + (-x) + (-2x) + 2$

Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:

-x + (-2x) = -3x

So now that we have our terms completed, we can combine into one polynomial equation:

$x^{2} + (-3x) + 2$ or $x^{2} -3x+2$

6 0

2 years ago

<1 and <2 are supplementary angles. The measure of <1 is 87º. The measure of <2 is 15x + 18º.

Kay [80]

Answer: x= 5

Step-by-step explanation: If angles 1 and 2 are supplementary, that means they add up to 180. So if angle 1 is 87, angle 2 has to be 180-87=93. Then the equation would be 15x+18=93. Subtract 18 on both sides. 15x=75. Divide by 15 and your answer is 5.

6 0

2 years ago

Help!! Question on probability. Wi give brainliest!!

Aleks [24]

Answer:

$P = \frac{5}{282} = 0.0177$

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

$P(golden) = \frac{N(golden)}{N(total)}$

$P(golden) = \frac{4}{48} = \frac{1}{12}$

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

$P(granny) = \frac{N(granny)}{N(total)-1}$