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Keith_Richards [23]

3 years ago

14

Pam can run four laps around the track in 330 sec. Patrick can run two laps around the track in 180 sec. which person. Runs the

fastest per lap

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Patrick because he can run 1 lap in 90 seconds

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Find the circumference of the circle. r = 9 in. A. 56.52

dezoksy [38]

Answer: 56.54866776... rounded to the nearest tenth

56.55

Step-by-step explanation:

The formula for circumference is $C = \pi d$ or $C = 2 \pi r$

5 0

3 years ago

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Learning Task 3:

padilas [110]

Answer:

$Area = x^2- 25$

$Area =9x^2 +24x + 16$

$Length = (3x -2)$

$Speed = \left(y^2-3y+1\right)$

$Product = 3m^3 + 6m^2 - 6m$

Step-by-step explanation:

Solving (1):

$Length = (x + 5)$

$Width = (x - 5)$

Required

Calculate Area

$Area = Length * Width$

$Area = (x + 5) * (x - 5)$

$Area = x^2 + 5x - 5x - 25$

$Area = x^2- 25$

Solving (2):

Given

$Length = (3x + 4)$

Required: Calculate Area

$Area =Length * Length$

$Area =(3x + 4) * (3x + 4)$

$Area =9x^2 + 12x + 12x + 16$

$Area =9x^2 +24x + 16$

Solving (3):

$Area = 3x^2 + 7x - 6$

$Width = x + 3$

Required: Calculate Length

$Area = Length * Width$

$Length = \frac{Area}{Width}$

$Length = \frac{3x^2 + 7x - 6}{x + 3}$

Factorize the numerator

$Length = \frac{3x^2 + 9x -2x - 6}{x + 3}$

$Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}$

$Length = \frac{(3x -2) (x + 3)}{x + 3}$

Divide by x + 3

$Length = (3x -2)$

Solving (4):

$Distance = (2y^3 - 7y^2 + 5y -1)$

$Time = 2y - 1$

Required: Determine the average speed

This is calculated as:

$Speed = \frac{Distance}{Time}$

$Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}$

Factorize the numerator

$Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}$

$Speed = \left(y^2-3y+1\right)$

Solving (5):

Multiply $(m^2 + 2m - 2)$ by sum of $(m + 3)$ and $(2m - 3)$

First, calculate the sum:

$Sum = m + 3 + 2m - 3$

$Sum = m + 2m+3 - 3$

$Sum = 3m$

Then, the product

$Product = (m^2 + 2m - 2)(3m)$

$Product = 3m^3 + 6m^2 - 6m$

6 0

3 years ago

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Dog A barks 20 times in 2 minutes, Dog B barks 45 times in 5 minutes, and Dog C barks 66 times in 6 minutes. Which dog barks the

DerKrebs [107]

Answer:

Dog C barks the most times per minute.

Step-by-step explanation:

Dog A barks 10 times per minute. 20/2 = 10

Dog B barks 9 times per minute. 45/5 = 9

Dog C barks 11 times per minute. 66/6 = 11

11 is greater than 10 and 9, therefore, Dog C barks the most.

5 0

3 years ago

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Q=3(r+1)/r<br> Make r the subject of the formula

DiKsa [7]

Distribute the 3 to the parentheses. Q=3r+3/r

Next multiply both sides by r to get rid of the division sign.

Qr=3r+3

Subtract 3r on both sides and you get Qr-3r=3

Since both numbers have an r in it, we can factor out the r

r(Q-3)=3

Then we divide Q-3 on both sides

r=3 / (Q-3)

8 0

3 years ago

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IRISSAK [1]

Answer:

4 packages

Step-by-step explanation:

450 can be divided by 100 4 whole times, the extra cards cannot be added into a package

7 0

2 years ago

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