MATHEMATICS HIGH SCHOOL

A ship must be unloaded by two cranes in 12 hours. Both cranes worked for 8 hours and then one of them broke. The rest of the work was done by the other crane in 7 hours. How long would each crane take to do the entire job if it was working alone? Thank you!

Answers

Answer 1

Answer:

6 hours

Step-by-step explanation:

Answer 2

Answer:

8 hours x 2 cranes = 16 hours of total work

After one broke

7 hours x 1 crane = 7 hours of total work

16 + 7 = 23 hours

It would take 23 hours for one crane to do the whole job.

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Solve for x 6(x-1)=9(x+2)

Answers

Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8

6(x-1)=9(x+2)
6x-6=9x+18
6x=9x+24
-3x=24
-x=8
x=-8

The area of triangle B is 25 times greater than the area of triangle A.The perimeter of triangle B is how many times greater than the perimeter of triangle A?

Answers

The ratio of areas is the square of the ratio of perimeters;
The area of triangle B / The area of triangle A = 25 ;
The perimeter of triangle B / The perimeter of triangle A = $√(25) = 5 ;$
The perimeter of triangle B is 5many times greater than the perimeter oftriangle A!

The perimeter of triangle B is 5 times greater than that of A.
The ratio of areas in this example is 1:25.
The ratio of areas is the square of the ratio of perimeters.
$\sqrt1 : √(25) =1 : 5$

The stairs leading from the ground to the entrance of a plane forms a right triangle with the ground. If the disthe stairs measures 22 feet and the ground distance measures 11 feet, how high is the entrance to the plane
ground? Which diagram represents this scenario?
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22 ft
22 ft
22 ft