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malfutka [58]
3 years ago
7

If a car travels 123 miles in 3 hours, how many miles will the car drive in 5 hours help?

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer: 205 miles in 5 hours

Step-by-step explanation:

The way to find our answer is to first find how many miles the car can go in one hour. We would se the equation (123 divided by 3 to find our answer) which would give us 41 miles per hour. Then, we would proceed to multiply 41 by 5 which would give us our answer, 205 miles in 5 hours. Please correct me if I'm wrong!

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A CD player that regularly sells for $79.00 is on sale at a 15% discount.
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Answer:65.15

Step-by-step explanation:

4 0
3 years ago
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Let f(x) = |x| / x , where x can be any real number except 0.
mash [69]

Answer: Hello there!

we have the function f(x) = IxI/x

Then this function can be piecewise writen as:

f(x) = 1 if x > 0

f(x) = -1 if x < 0

because:

suposse that n is a number greater than 0, then:

f(n) = InI/n = n/n = 1

and this is independent of the number n, so for all the positive values of x, we have f(x) = 1

and

f(-n) = I-nI/(-n) = n/(-n) = -1

and again, this does not depend on the value of n, so for all the negative values of x, we have f(x) = -1.

On the other hand, the Heaviside function is defined as:

H(x) = 1 if x>0

H(x) = 0 if x<0

Then the difference is that, when the Heaviside function takes the value of 0 for negative values of x, our function f(x) takes the value of -1 for negative values of x.

6 0
3 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4000/3*π in^3. One day, her sink clogged. Sh
In-s [12.5K]

Answer:

  (A)  125 scoops

  (B)  31 scoops

Step-by-step explanation:

The volume of a cup in terms of radius and height is ...

  V = (1/3)πr²h

The radius is half the diameter, so the volume in terms of diameter is ...

  V = (1/3)π(d/2)²h = (π/12)d²h

The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...

  n = (4000π/3)/((π/12)d²h)

  n = 16000/(d²h)

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(A) The number of cups required of diameter 4 and height 8 is ...

  n = 16000/(4²·8) = 125

  125 scoops are required to empty the sink

__

(B) The number of cups required of diameter 8 and height 8 is ...

  n = 16000/(8²·8) = 31.25 ≈ 31

  31 scoops are required to empty the sink

6 0
3 years ago
12 students share 3 pizzas equally what fraction of the pizza each student gets
alekssr [168]
To find the solution, simply take 3 and divide it by 12. 3/12 as a fraction would be simplified down to 1/4 or 0.25. Therefore, each student would receive one quarter of a pizza.
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When drawing a card, find the probability of drawing a spade or selecting a number less
iVinArrow [24]

Answer:

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Step-by-step explanation:

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