Suppose Carson worked as a babysitter for '8' hours one week. What is the minimum number of full hours he would need to work at his fathers business to earn at least $96 that week?

Answer:

The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  

Step-by-step explanation:

Given as :

The total number of hours did Carson spent as baby sitting on one week = 5 hours

The rate at which he earn for baby sitting = $6 per hours

The rate at which he earn as job = $8 per hours

The total amount he will earn that week = $96

Let The minimum number of full hour he need to work = h

Now, According to question

The total amount he will earn that week = total number of hours did Carson spent as baby sitting on one week ×The rate at which he earn for baby sitting  + The rate at which he earn as job × The minimum number of full hour he need to work

I.e $96 = $6 × 5 + $8 × h

Or, $96 = $30 + $8 × h

Or, 8 × h = 96 - 30

Or, 8 × h = 66

∴  h =  

i.e h = 8.25 hours

So, The number of hours = h = 8 hours and 15 minutes

Hence,The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes  .

The ratio of cars to trucks in a car dealerships lot is 8 to 3. Given this ratio, which TWO sets of vehicle counts are possible?

A) 104 cars; 39 trucks
B) 128 cars; 48 trucks
C) 27 cars; 72 trucks
D) 58 cars; 53 trucks
E) 24 cars; 64 trucks

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are these similar and please explain why or why not.

Points (−3, 5) and (3, 5) on the coordinate grid below show the positions of two players on a tennis court:

A coordinate plane is shown. There is a point at 3, 5 labeled Player 2. There is a point at negative 3, 5 labeled Player 1.

Which statement best describes the relationship between the positions of the two players? (4 points)

A)
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
B)
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
C)
Player 2's position is Player 1's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
D)
Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

The question is in picture

Describe the pattern in each sequence and determine the next term of the sequence.

The figure shows a sequence from left to right. The first figure from the left is a dot, the second figure has 3 dots in the shape of a triangle, the third figure has 6 dots in the shape of a triangle, and the fourth figure has 10 dots in the shape of a triangle.

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