Answer:
9 hours, 20 minutes
Step-by-step explanation:
When two ferries work together, they transport a day's cargo in 7 hours
The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1
The sum of the ratio = 4 (3 + 1)
This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.
Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.
9.33 hours = 9 hours, 20 minutes.
Answer:
160 miles
Step-by-step explanation:
Company A form $130 a day plus $0.30 per mile
Company A = 130 + 0.30x
Company B charges $50 a day plus $0.80 per mile
Company B = 50 + 0.80x
Where,
x = number of miles
Equate the cost of company A and company B
130 + 0.30x = 50 + 0.80x
Collect like terms
130 - 50 = 0.80x - 0.30x
80 = 0.50x
Divide both sides by 0.50x
x = 80 / 0.50
= 160
x = 160 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles
The new coordinates of A'B'C' creates a triangle that is larger than ABC.
<h3>Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>
If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).
Given that:
- Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)
If it is dilated by a scale factor of 3, the new point is at:
- A'(12, 15), B'(15, 9) and C'(6, 9)
Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.
Find out more on dilation at: brainly.com/question/10253650
Answer:
132 cm squared
Step-by-step explanation:
6x5=30
6x5=30
6x8=48
1/2(8x3)=12
1/2(8x3)=12
Total added together is 132 cm squared
