What is the mechanical advantage of a ramp that is 5 m long and 1.5 m high

Answer:

688/999.

Step-by-step explanation:

To express the repeating decimal 0.68888888888... as a rational number, you can set it up as an equation and solve for the fraction.

Let x = 0.68888888888...

Now, we want to remove the repeating part by multiplying x by an appropriate power of 10. In this case, we'll multiply by 10 to the power of the number of decimal places in the repeating part:

1000x = 688.88888888...

Now, we'll subtract x from 1000x to eliminate the repeating part:

1000x - x = 688.88888888... - 0.68888888888...

999x = 688

Now, divide both sides by 999 to isolate x:

x = 688 / 999

So, the repeating decimal 0.68888888888... can be expressed as the rational number 688/999.

Answer:

y=3/4x

Step-by-step explanation:

Answer:

-8y+6x=-8

Step-by-step explanation:

Can't promise this is 100% correct, but I tried.

Answer:

Nethan made 8 rose bouquets and 6 daffodil bouquets.

Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.

Let x represents the number of more rose bouquets.

Let y represents the number of more daffodil bouquets.

The maximum bouquets that can be made = 20

And the number of bouquets made are = 14

So, additional bouquets are =

In equation form we can show like :

or

or

Putting values of x as 0,2,4 and 6 we get:

When x = 0 then y = 6  

When x = 2 then y = 4

When x = 4 then y = 2

When x = 6 then y = 0

You can see the graph attached.

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

Answer:  The correct option is

(C) n = fraction 1 over 2.

Step-by-step explanation:  We are to find the simplified form of the fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n.

From the given information, we can write the equation as follows:

Solving the above equation, we get

Thus, the required simplified form is

Option (C) is CORRECT.