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Kipish [7]
2 years ago
15

Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

Mathematics
1 answer:
valentina_108 [34]2 years ago
6 0
Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = \frac{3*r*pi}{2*105}

v = r* pi/70

If we take that r = 1 answer is \pi /70
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Madi has $8.80 in pennies and nickels.
shepuryov [24]
Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.
7 0
2 years ago
In 2012, on average, about $9.46\times10^{-1}$ pound of potatoes was produced for every $2.3\times10^{-5}$ acre harvested. How m
muminat

Answer:

4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre

Step-by-step explanation:

9.46 × 10⁻¹ pounds of potatoes were produced for every 2.3 × 10⁻⁵ acre harvested. The average pounds of potatoes harvested per acre would be pounds of potatoes/acres harvested =  9.46 × 10⁻¹ pounds/2.3 × 10⁻⁵ acre = 4.113 × 10 ⁻¹⁻⁻⁵ = 4.113 × 10⁵⁻¹ = 4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre.

6 0
2 years ago
A basketball is rolling with a velocity of 0.5 meters/second relative to the ground and due north. A tennis ball is rolling with
RSB [31]
Ok so let me help you like this: We need to understand first that <span>The basketball has a higher speed, that means that the tennis ball will never catch up. so what we need to use is the formula
</span>Vr=Vb--Vt 
<span>=0.5-0.25=0.25
</span>So the speed is <span>0.25m/s
Hope this is useful</span>
5 0
2 years ago
A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to
bija089 [108]

Answer:

$0.85

Step-by-step explanation:

2 juice pouches- $2.50

3c+2.50=5.05 (c is for bags of chips)

3c=5.05-2.50

3c=2.55

c= $0.85

So one bag of chip is $0.85

8 0
1 year ago
Read 2 more answers
Explain how to estimate 368+231 in two different ways
Dennis_Churaev [7]
400+200 or add 368+231= 599 and you round your answer, woulb be 600
6 0
2 years ago
Read 2 more answers
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