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Answer: 1. 63; 2. 84; 3. 104 4. 1:2
Step-by-step explanation: Since Zoey has $28, and the ratio is 4:5, we can multiply the ratio by 7 on both sides so that it is 28:35, giving $35 for andrew, and this $28+$35=$63. Since the ratio of red to white marbles has a sum of 10, but there are 120, we multiply the ratio by 120/10=12, to make the ratio applicable to the scenario, so 7 times 12 = 84 red marbles. Same way for the theater question, 195/15=13, so 8 times 13= 104, and so 104 people are boys. For the last question you can simply divide both sides by 5 (or think of it as a fraction, 5/10=1/2).
answer:Ergonomics: A bridge between fundamentals and applied research.
The perimeter of the given rectangle will be ( 12x + 10 ).
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the given shape. For a triangle, the perimeter will be the sum of all the sides of the rectangle.
It is given that the two sides of the rectangle are (2x + 2) and (4x + 3). Then the perimeter of the rectangle will be calculated as below:-
Perimeter = Sum of all the sides of the rectangle
Perimeter = 2 ( 2x + 2 + 4x + 3 )
Perimeter = 4x + 4 + 8x + 6
Perimeter = 12x + 10
Therefore, the perimeter of the given rectangle will be ( 12x + 10 ).
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Answer:
60 miles
Step-by-step explanation:
Distance apart = 100
Rate of travel. :
Anthony = 12 mph
Cleopafda = 8 mph
Using the relation :
Speed = distance / time
Distance = speed * time
If they leave at the same time, travel time Can be represented as x
Anthony's distance + Cleopafda distance = total distance
12x +. 8x = 100
20x = 100
x = 5
Hence, they both traveled for 5 hours before meeting.
Distance covered by Anthony :
Speed * time
12 mph * 5h = 60 miles
Anthony must travel. For 60 miles.