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Savatey [412]
3 years ago
9

when juggling a ball travels in a complete circle every 2 seconds. how many circles does it make in a minute

Mathematics
2 answers:
Gre4nikov [31]3 years ago
7 0

Answer:

30 circles

Step-by-step explanation:

Because there are 60sec in a minute so divide it by two.

andrew11 [14]3 years ago
3 0

Answer: It makes 30 circles in a minute

Step-by-step explanation:

Cirle every 2 seconds

A minute is 60 seconds

So you divide those to get your answer

60 divided by 2= 30

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Manny makes dinner using 1 box of pasta and 1 jar of sauce. if pasta is sold in packages of 6 boxes and sauce is sold in package
natka813 [3]
<span>You need to find the least common multiple of 6 and 3. This the minimum whole number that contains the number of boxes in one package of pasta and the number of jars in one package of sauce. t he least common multiple of 6 and 3 is 6. This means that Manny can make 6 dinners, which will be made with 1 package of pasta (6 boxes ) and two packages of sauce (2 * 3 = 6 jars).</span>
3 0
3 years ago
Find the cardinal number for the given set.
iris [78.8K]

Answer:

The cardinal number is 12

Step-by-step explanation:

The cardinal number of a set represents the number of distinct elements of the set. That means for this exercise the goal is to identify the total number of elements of the set.

First step. Identifying the elements of the set.

If we look at the sequence 9, 11, 13, ... , 31, we have an arithmetic sequence a_n, so we can start by finding the common difference d.

d = a_{n+1}-a_n

That means we can pick any 2 consecutive terms and find the subtraction of them, so we can pick for example 9 and 11, thus we get

d= 11-9\\d=2

Second step. Finding the number of terms of the arithmetic sequence.

Now to find the number of elements n of that sequence, we can look at the last number of the sequence on this case it is 31, and we can use the formula for the nth term, that is

a_n=a_1 + d(n-1)

Replacing the last term a_n = 31 and the initial term a_1=9, will give us

31=9+2(n-1)

From there we can solve for n, by moving first that 9 to the other side.

31-9=2(n-1)\\22=2(n-1)

Then we can divide both sides by 2, and lastly add by 1.

\cfrac{22}{2} = n-1  \\11 = n-1\\\boxed{n= 12}

Thus since the sequence has 12 elements, we know that the cardinal number of the set is 12.

7 0
3 years ago
Please do not guess I have to answer this correctly! Please make sure you notice all the symobols!!
Yanka [14]
5 x (-1) - 7 x 5 + 5^2
-5 - 35 +25
-40 + 25
= -25
5 0
3 years ago
Read 2 more answers
Find an equation for the inverse of the relation.<br> 18. Y=-x+5<br> 20. y=4x-9<br> 22. y=3-2x
agasfer [191]

the inverse of the relation is y=4x-9

8 0
3 years ago
The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 60 minutes. The
Oliga [24]

Answer:

37.5 minutes

Step-by-step explanation:

Let the amount of time it takes a student to complete a statistics quiz be = t

t is uniformly distributed between 30 minutes and 60 minutes

The professor wants to reward with bonus marks, students who are in the lowest quarter of t

<em>- What value of t should he use as the cutoff for awarding bonus marks?</em>

<em></em>

A quarter of any number is 1/4 of it.

Now, the range of t (the difference between the highest and lowest values of t) is 60 - 30 = 30

1/4 of 30 = 7.5

The lowest quarter of t is hence between 30 and 37.5

So the cutoff for awarding bonus marks is t = 37.5minutes

INTERPRETATION:

Any student who spends 37.5 minutes or below on a statistics quiz, will be awarded bonus marks.

8 0
3 years ago
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