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3 years ago

A shark can chase prey about 30 miles per hour. What is this rate in miles per minute?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

5 0

Solution :

Give that a shark can chase prey about 30 miles per hour.

1 hour = 60 minute

by using unitary method, we will convert miles per hour into miles per minute

in 60 minutes the shark can chase the prey 30 miles

In 1 minute the shark can chase $\frac{30}{60} miles = \frac {1}{2} miles= 0.5 miles$

Hence the shark can chase the prey about 0.5 miles per minute.

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From a group of 11 people, 4 are randomly selected. What is the probability the 4 oldest people in the group were selected

asambeis [7]

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

<em>Probability = expected number of outcome/Total number of outcome</em>

If there are group of 11 people, then the total outcome of events will be 11

If we are to select 4 oldest people from the group, then the expected outcome is 4.

Hence, the probability that the 4 oldest people in the group were selected is 4/11.

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3 years ago

Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent t

iragen [17]

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

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3 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

At a rat of 64 kilometers per hour, how far will a car travel in 7 1/2 hours?_______

Snowcat [4.5K]

We use the formula $d = s*t$ where d is distance, s is speed and t is time.

$d = 64km*7.5$

$d = 480km$

Therefore, a car would tracel 480 km.

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3 years ago

Read 2 more answers

Let A = Andrea's age, Find expressions for the following

Shalnov [3]

Answer:

b = 2a - 2

Step-by-step explanation:

Turn the words into an algebraic expressions. so Andrea's (b) is (=) two years less (-2) than (flips the expression so place this first ->) twice (times 2) her age (a) So b = 2a -2

5 0

3 years ago