All categories

3 years ago

The three numbers are in the ratio 4:5:6 . If the sum of the largest and

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

Step-by-step explanation:

Let the 3 numbers be 4x , 5x and 6x

4x + 6x = 5x + 55

10x = 5x + 55 Subtract 5x from both sides.

5x = 55 Divide by 5

x = 55/5

x = 11

Therefore the numbers are

3*11 = 33

4*11 = 44

5*11 = 55

You might be interested in

The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the

Ymorist [56]

Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

$\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.$

Then you can find the length of the corresponding side:

$\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.$

4 0

3 years ago

3x * -2y= -100<br> Solve for y and x.

Sedbober [7]

Answer:

x=50/3y

y=50/3x

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

7 0

2 years ago

If it takes 8 inches of ribbon to make a bow,how many bows can be made from 3 feet of ribbon (1 foot = 12 inches)? Will any ribb

Aloiza [94]

First, find out how much ribbon there is.

3 x 12 = 36

Now, see how many times you can divde that by 8.

36 can only be divided by 8 four times, and there would be 4 inches of ribbon left.

So, you would be able to make 4 bows, with 4 inches of ribbon remaining.

8 0

3 years ago

Two cities are 3450 miles apart. A plane leaves one of them, traveling towards the other at an average speed of 310 miles per h

Amiraneli [1.4K]

Answer:

5 hours.

Step-by-step explanation:

let they meet after t hours.

310t+380t=3450

690t=3450

69t=345

t=345/69=5

8 0

3 years ago

RUDIKE [14]

$4680
Since 18% is 18/100 you just have to multiply the $842.4 by the reciprocal of that to find your answer
Reciprocal of 18/100 is 100/18
842.4* 100/18 equals 84240/18
84240/18 equals 4680

3 0

3 years ago