Answer:
You and your friend are about 2.09 miles apart after 15 minutes.
Step-by-step explanation:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
Answer:
Not sure if you meant 14 or 1/4
14 - 4213.69 miles per hour
1/4 - 75.2445 miles per hour
Step-by-step explanation:
Convert to min then to hours. Then D/T
Answer:
100 or 150 units of the product.
Step-by-step explanation:
R = x(1000-4x)
What is the value of x if R = 60,000?
x(1000-4x) = 60000
-4x^2 + 1000x = 60000
x^2 - 250x = -15000
x^2 - 250x + 15000 = 0
Factorize:
(x-100)(x-150) = 0
x-100 = 0 V x-150 = 0
x = 100 V x = 150
Answer:
31 scientific calculators
54 graphing calculators
Step-by-step explanation:
X = number of $15 calculators
Y = number of $67 calculators
X+Y = 85 then X = 85-Y
15X+67Y = 4083
substitute for X
15(85-Y)+67Y = 4083
1275 - 15Y + 67Y = 4083
reduce
52Y = 2808
Y = 54
X = 31
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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