WILL GIVE BRAINLIEST Algebraic expression for a% of b

1 answer:

4 0

"percent" means "out of a hundred"
1% = 1/100, 2% = 2/100, etc
So, a% is a/100
a% of b is a% times b
So, a% of b = (a/100)b
Another way to write it is ab/100

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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes

Ket [755]

Answer:

13 ft/s

Step-by-step explanation:

t seconds after the boy passes under the balloon the distance between them is ...

d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)

The rate of change of d with respect to t is ...

dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)

At t=3, this derivative evaluates to ...

dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13

The distance between the boy and the balloon is increasing at the rate of 13 ft per second.

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The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.

The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.

The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...

d = √((15t)² + (45+5t)²)

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3 years ago

a plumber charges $55 for a service call plus $35 per hour. if the plumber’s bill was $160, how many hours was he there?

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He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160

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3 years ago

Read 2 more answers

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this is an example of linear equations is one variable