All categories

4 years ago

The ratio of two numbers that add up to 180 is 2:8.find the two numbers

Mathematics

1 answer:

aksik [14]4 years ago

8 0

Answer:

36 and 144

Step-by-step explanation:

Sum the parts of the ratio, 2 + 8 = 10 parts

Divide the sum of the 2 numbers by 10 to find the value of one part of the ratio.

180 ÷ 10 = 18 ← value of 1 part of the ratio, thus

2 parts = 2 × 18 = 36

8 parts = 8 × 18 = 144

Thus 2 numbers are 36 and 144

You might be interested in

What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?

Brut [27]

Answer:

p is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p is (3.71, 6.71) which is at 3/4 of the distance from A to B for A(2,5) and B(6,9)/

5 0

3 years ago

A car was worth $14000 in 2015, and decreased in value to $10500 in 3 years. What is its annual rate of depreciation?

bulgar [2K]

The annual rate of depriciation would be approximately $1,166.60 per year.

5 0

4 years ago

Helpppp please !!! i’ll give brainliest

Over [174]

Answer:

109.5

Step-by-step explanation:

4 sides equals 360 degrees. 360 minus 96 and 45 is 219. divide 219 by 2 and boom theres your answer.

4 0

3 years ago

Which step can you use to solve the equation m+9=−2?Add 9 to each side of the equation.Subtract 9 from each side of the equation

Mrac [35]

Answer:

Subtract 9 from each side of the equation

Step-by-step explanation:

m+9=-2

-9 -9

m=-11

7 0

3 years ago

Read 2 more answers

Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th

den301095 [7]

Answer:

The equation would be $30=12+9x$ .

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

$30 = 3\times4 +9x\\\\30=12+9x$

Hence The equation would be $30=12+9x$

Solving above equation we get;

$9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs$

Hence Allen will Run for 2 hours.

8 0

3 years ago