The answer is 2 because 1/4 of the balloons which are red would make 4 red balloons and half of 4 is 2.
The unit rate of the given quantities are 6.75 dollars/pounds .
<h3>What is unit rate?</h3>
There is independent quantity, and a quantity which depends on it (dependent quantity).
When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
We need to Write the phrase as a unit rate. $37.13 for 5.5 pounds
Weight in 5.5 pounds = 37.13 dollars
Weight in 1 pounds = 37.13/5.5* 1
Weight in 1 pounds = 6.75 dollars
Therefore, the unit rate of the given quantities are 6.75 dollars/pounds .
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Answer: 465
Step-by-step explanation:
251 (days) x 24 (hours) = 6,024 hours
6,024+21 hours= 6,045
6045/13=465
The triangle PSQ is an isosceles triangle, and the area of the triangle PSQ is 1360.62 square units
<h3>How to determine the area?</h3>
The given parameters are:
PS = SQ
Perimeter, P = 50
SQ - PQ = 1
The perimeter is calculated using:
PS + SQ + PQ = 50
This gives
2SQ + PQ = 50
Make SQ the subject in SQ - PQ = 1
SQ = 1 + PQ
So, the equation 2SQ + PQ = 50 becomes
2(1 + PQ) + PQ = 50
Expand
2 + 2PQ + PQ = 50
Evaluate like terms
3PQ = 48
Divide by 3
PQ = 16
Substitute PQ = 16 in SQ - PQ = 1
SQ - 16 = 1
So:
SQ = 17
The area is then calculated using:
A = √[P * (P - PS) * (P - SQ) * (P - PQ)]
This gives
A = √[50 * (50 - 17) * (50 - 17) * (50 - 16)]
Evaluate
A = 1360.62
Hence, the area of the triangle PSQ is 1360.62 square units
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