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WARRIOR [948]
3 years ago
5

Anna is selling tickets to her tennis tournament. An adult ticket costs $20 and a student ticket costs $16. Anna collects $1020

for a total of 55 tickets.
How many adult and how many student tickets has Anna sold?

A) 20 adult tickets; 35 student tickets
B) 21 adult tickets; 34 student tickets
C) 25 adult tickets; 30 student tickets
D) 35 adult tickets; 20 student tickets
Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

Answer:

D

Step-by-step explanation:

The other choices are wrong.

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A certain positive integer has exactly 20 positive divisors. What is the smallest number of primes that could divide the integer
Alika [10]

As per my explanation to (b) above, the largest number of primes that could factor such a number is 4.

Note that  2,3,5 and 7   are the smallest primes, then use the reasoning from

(b) above. we are looking for four exponents, that, when 1 is added to each and all are multiplied together, would equal 20.

But no such integers  k, l, m, and n  exist such that (k + 1)(l + 1)(m + 1) (n + 1)  = 20 where k, l,m, and n ≥ 1 so this number, whatever it is, can't have 4 prime factors

Let's drop 7 out of the mix and suppose it has just 3 prime factors 2, 3, and 5 again we are looking for three exponents,  that, when 1 is added to each and all are multiplied together, would equal 20.  Put another way, we are looking for k, l and m ≥ 1   such that (k + 1)(l + 1)(m + 1) = 20

Note that the  only possibility here  is when we have 2 *2 *5  = 20 and the smallest possible product would be 2^(4 )* 3^(1) * 5^(1) =  2^4 * 3 * 5 = 240

Now......the only remaining possibility is  that this number is composed of the two smallest primes, 2 and 3,  and we are looking for  some k  and l ≥ 1 such that (k + 1)(l + 1) = 20 clearly, the only possibilities  are when k = 4 and l = 5, or vice-versa

So this number would factor as either 2^3 * 3^4   = 648  or 2^4 * 3^3 = 432 and both are > 240.

Learn more about positive integers at

brainly.com/question/1367050

#SPJ4

8 0
1 year ago
Sally works 40 hours a week and makes $30 an hour, but her kids are in child care each day and the day care center charges her $
Lapatulllka [165]

Answer:

Sally will earn $21.25 per hour after she removes day care charges from her total earnings.

Step-by-step explanation:

Hey there!

Let's start by solving for how much money that Sally earns per week.

To find this value, we will find the product of 40 hours per week and 30 dollars per hour.

40\times30=1200

We now know that Sally makes $1,200 a week without deducting the daycare charges per day.

However, we know we need to deduct 70 dollars for each day that Sally works. Since she works for five days a week, we will find the product of 70 dollars per week and five days a week.

70\times5=350

Therefore, the day care charges $350 per week.

Finally, we need to subtract the day care charges from the amount of money that Sally earns to find how much she actually makes in a week.

1200-350=850

Therefore, for forty hours of work that Sally works each week, she earns $850.

However, we are not done. The question asks us to find how many dollars <u>per hour</u> does she actually make? Therefore, we need to find the quotient of 850 dollars and 40 hours per week.

\displaystyle \frac{850}{40}=21.25

Therefore, Sally earns $21.25 each hour after deducting day care costs.

6 0
2 years ago
Can someone help me please !
Svetach [21]

Answer:

should be y=3x-5

Step-by-step explanation:

3 0
3 years ago
Which expression is equivalent to 45x − 15x
AlladinOne [14]

Answer:

30x

Step-by-step explanation:

7 0
3 years ago
What is the value of m?<br> 10<br> 30<br> 70<br> 150
bezimeni [28]

Is there a picture????

You need. picture to solve this

4 0
2 years ago
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