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kenny6666 [7]
3 years ago
5

Find the value of x and y in this problem.

Mathematics
1 answer:
Brut [27]3 years ago
8 0

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

given

\frac{x-y}{x+y} = 5 ( cross- multiply )

5(x + y) = x - y

5x + 5y = x - y ( subtract (x - y) from both sides )

4x + 6y = 0 ( subtract 6y from both sides )

4x = - 6y

\frac{x}{y} = - \frac{6}{4} = - \frac{3}{2}




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Please help me with this math problem.
Shalnov [3]

Answer:

y - 5 = \frac{5}{4} (x - 1).

Step-by-step explanation:

The relation between variable x and y is linear as the increase of y with respect to x is uniform.

That means the slope of the graph obtained from plotting the points on the coordinate plane is constant and it can be obtained by taking any two pairs of points.

Now, the equation of this straight line graph can be obtained from any two pairs of the given points.

Let us assume the points are (1,5) and (5,10)

Therefore, the required equation of the straight line is  

\frac{y - 10}{10 - 5} = \frac{x - 5}{5 - 1}

⇒ y - 10 = \frac{5}{4} (x - 5)

⇒ y - 10 = \frac{5}{4}x - \frac{25}{4}

⇒ y - 5 = \frac{5}{4} x + 5  - \frac{25}{4}

⇒ y - 5 = \frac{5}{4} (x - 1). (Answer)

7 0
3 years ago
Decrease £14120 by 4%
Vlad [161]

Answer:

\mathrm{\£13555.20}

Step-by-step explanation:

14120 \times (1-4\%)

14120 \times (1-4/100)

14120 \times (1-0.04)

14120 \times 0.96

=13555.2

5 0
3 years ago
Read 2 more answers
Jonah and three of his friends are splitting the dinner bill equally among theme selves. There total bill came to be $86 before
Oksana_A [137]

Answer: Required expression: \dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}

Each person need to pay =$ 26.66

Step-by-step explanation:

Given: Bill amount = $86

Tip percent = 18%

Sales tax = 6%

Now, total bill = (Bill amount ) + 18% of (Bill amount ) + 6% of (Bill amount )

=  $[ (86) + 18% of (86 ) + 6% of (86 )]

=  $[ (86) + 0.18 x(86 ) + 0.06 x (86 )]

Total persons = 3+1 = 4

Each person need to pay= \dfrac{\text{total bill}}{4}

=\dfrac{[ (86) + 0.18 \times(86 ) + 0.06 \times (86 )]}{4}\\\\=\dfrac{[ (86) (1+ 0.18  +0.06 )]}{4}\\\\=\dfrac{86(1.24)}{4}=\dfrac{106.64}{4}=26.66

So, each person need to pay =$ 26.66

4 0
3 years ago
Helpppp quickk pleassee I’m being timeddd
Alex

<u>Given</u>:

The given graph represents the cost of the Kayak's rental per hour.

The coordinates are (2,30) and (3,45)

We need to determine the unit rate of renting per hour.

<u>Unit rate of renting:</u>

The unit rate of renting can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (2,30) and (3,45), we get;

m=\frac{45-30}{3-2}

Simplifying, we get;

m=\frac{15}{1}

Dividing, we get;

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7 0
3 years ago
Factor the expression completely over the complex numbers: 25x2 +144
Paha777 [63]

Answer:

25x² + 144 = (5x + 12i) (5x - 12i).

Step-by-step explanation:

We have to factorize the expression 25x² + 144, using the complex number.

Now, i = \sqrt{- 1} can be treated as the complex number as there is negative value with in square root.

So, i^{2} = - 1

Therefore, we can write the original expression as  

25x² + 144

= 25x² - (i²)(144)  

= (5x)² - (12i)²

= (5x + 12i) (5x - 12i)

So, the factorization is 25x² + 144 = (5x + 12i) (5x - 12i). (Answer)

5 0
4 years ago
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