If 1 meter = 1.094 yards, use dimensional analysis to find 2 kilometers in miles. (hint: 1 mi = 1760 yd)

2 km = 1.24 miles

Step-by-step explanation:

The question demands the conversion of units. It is given that:

1 meter = 1.094 yards.

Since 1000 meters = 1 km, multiply both sides with 1000:

1000 meters = 1094 yards.

Convert 1000 meters into 1 km:

1 km = 1094 yards.

Divide both sides by 1094 so that 1 yard is in terms of km:

1/1094 km = 1 yards.

It is given that:

1 mile = 1760 yards.

Divide both sides by 1760 so that 1 yard is in terms of miles:

1/1760 mi = 1 yards.

Since 1 yard = 1 yard, therefore:

1/1094 km = 1/1760 miles.

Cross multiplying:

1760 km = 1094 miles.

1 km = 1094/1760 miles.

1 km = 0.62159090909  miles.

To find 2 km in terms of miles, simply multiply 2 on both sides. Therefore:

2 km = 1094*2/1760 miles

2 km = 1.24318181818  miles.

Therefore, 2 km = 1.24 miles (correct to 2 decimal places)!!!

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

step-by-step explanation:

this is not a question