A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day

Answer:

To find out whose salary increased more in absolute terms, we'll calculate the absolute increase for each person.

For Sneezy:

Initial salary = $2500

Final salary = $4522

Sneezy's salary increased by:

Absolute increase = Final salary - Initial salary

Absolute increase = $4522 - $2500 = $2022

For Bombur:

Initial salary = $4000

Final salary = $6700

Bombur's salary increased by:

Absolute increase = Final salary - Initial salary

Absolute increase = $6700 - $4000 = $2700

Now, comparing the absolute increases:

Sneezy's salary increased by $2022.

Bombur's salary increased by $2700.

So, Bombur's salary increased more in absolute terms.

Step-by-step explanation:

The distance between two points on a plane can be found by Pythagoras's theorem.

The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.

Reason:

The shortest distance between two points is a straight line.

The shortest route to her workplace are the routes that approximate a straight line the most.

Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;

• The route heading past the block close to the center of the map to her workplace

• The route to the left of the above route

Taking the route that passes close to the center of the map to her workplace ,gives;

Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)

Path 2 = √(1² + 2²) = √5

Path 3 = 1 + 1 = 2

Path 4 = √(2² + 3²) = √13

Path 5 = 3

Cumulativedistance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3

Taking the route to the left of the above route, gives;

Path 1 = √(2² + 4²) = 2·√5

Path 2 = 7 + 6 = 13

Cumulative distance = 2·√5 + 13 ≈ 17.5

Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks  = 2.5 blocks shorter

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Answer:

9

Step by Step Explanation:

The y-value for the E coordinate after the translation of the points will be 9.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).

Therefore, the y-value for the E coordinate after the translation of the points will be 9.

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Answer:

the y value would be 9

full translation(-5,9)

Step-by-step explanation:

E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)