All categories

3 years ago

Can someone assist me with this?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

5 0

Answer:

29: 7

Step-by-step explanation:

$\frac{8}{3x - y} = \frac{5}{x + 3y}$

Cross multiply:

$8(x + 3y) = 5(3x - y)$

Expand bracket:

$8x + 24y = 15x - 5y$

Bring x terms to 1 side, y terms to the other:

$15x - 8x = 24y + 5y$

Simplify:

$7x = 29y$

Divide by 7 on both sides:

$x = \frac{29}{7} y$

Divide both sides by y:

$\frac{x}{y} = \frac{29}{7}$

∴ The ratio of x to y is 29:7.

You might be interested in

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

motikmotik

(5x+2)(x-4
5x (x)+2(x)+5x (-4)+2 (-4)
5x^2+2x-20x-8
5x^2-18x-8
C. 5x^2-18x-8

3 0

3 years ago

Read 2 more answers

Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from

Dominik [7]

When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.

x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1

Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).

7 0

3 years ago

Provide 5 examples of an integer.

Olin [163]

Example of integers are -5 ,1 ,5 , 8 , 97 and 3,043

4 0

3 years ago

I need help on this.

andrew11 [14]

To find the midpoint, add x1 and x2 then divide by 2, then add y1 and y2 and divide by 2.

Midpoint = (2a +2b /2 , 0 + 2c /2)

Midpoint = a+b, c

3 0

2 years ago

Raymond is purchasing a car. He finances $18,000 at a rate of 3% for 5 years. How much interest will Raymond pay? How much inter

Katyanochek1 [597]

1080 dollars. The first interest is 2700 and the second is 1620.

6 0

3 years ago