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3 years ago

Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

Step-by-step explanation:

Write the equation

$\frac{3x-y}{3(x-y)}$

Add the variables

$\frac{3(5)-3}{3(5-3)}$

Multiply 3 x 5

$\frac{15-3}{3(5-3)}$

Subtract the parentheses

$\frac{15-3}{3(2)}$

Subtract the numerator

$\frac{12}{3(2)}$

Reduce the fraction with 3

$\frac{12}{3(2)} = \frac{4}{2}$

Reduce the fraction again with 2

$\frac{4}{2} = 2$

And there's your answer of 2!

You might be interested in

Five more than the quotient of a number and 3 equals 2.

MakcuM [25]

Answer:

$\large\boxed{\dfrac{n}{3}+5=2\ or\ n:3+5=2}$

Step-by-step explanation:

$\dfrac{n}{3}+5=2\\\\\dfrac{n}{3}-\text{the quotient of a number}\ n\ \text{ and 3}\\\\...+5-\text{five more than}$

If you want a solution:

$\dfrac{n}{3}+5=2$ subtract 5 from both sides

$\dfrac{n}{3}+5-5=2-5$

$\dfrac{n}{3}=-3$ multiply both sides by 3

$3\!\!\!\!\diagup\cdot\dfrac{n}{3\!\!\!\!\diagup}=(3)(-3)\\\\n=-9$

4 0

3 years ago

The expression ax2-bx=0 is? and has the solution x=0

LUCKY_DIMON [66]

Lets analyze the equation:
ax^2 - bx = 0
x(ax - b) = 0
Therefore if x = 0, the equation holds no matter about a and b:
0(0a - b) = 0
0 = 0

8 0

2 years ago

The math test time was 3/4 hr.The Ela test time was 2/4hr.How much longer was the math test time

Alex_Xolod [135]

Answer:

1/4 hr longer

Step-by-step explanation:

4 0

3 years ago

What is the distance points for (2,-2) and (0,-9)

Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

Two points are (2,-2) and (0,-9)

Step:1

By graphical method,

For two points (2,-2) and (0,-9)

First point (2,-2)

The values of x=2 and y=-9 noted in the graph

Second point (0,-9)

The values of x=0 and y=-9 noted in the graph

Now join the two points, measure the distance between the two points,

Distance between points are 7.3 units.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2}- x_{2}) ^{2}+ (y_{2}-y_{1}) ^{2} }$

Where,

( 2,-2) are ( $x_{1},y_{1}$ )

(0,-9) are ( $x_{2},y_{2}$ )

From the values,

= $\sqrt{(0- 2) ^{2}+ (-9+2) ^{2} }$

= $\sqrt{(- 2) ^{2}+ (-7) ^{2} }$

= $\sqrt{4+49 }$

= $\sqrt{53}$

= 7.280

≅ 7.3

Distance = 7.3

Result:

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

5 0

3 years ago

How do you do this?? Show all work please

olchik [2.2K]

The answer is every long.

Step-by-step explanation:

as the figure shows

5 0

2 years ago