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kifflom [539]
3 years ago
5

In a local basketball league championship total 198 games were played, where each team played exactly three games with all the o

ther teams. How many teams participated in this championship?
Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

  12

Step-by-step explanation:

When n teams play each other once, the total number of games is n(n-1)/2. Since each team played every other one 3 times, the relationship between number of teams (n) and number of games is ...

  3(n(n-1)/2) = 198

  n(n-1) = 132 = 12·11 . . . . . . multiply by 2/3 and factor

  n = 12 . . . . . . n = -11 is also an extraneous solution to this quadratic equation

12 teams participated in this championship.

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There are 1,150 students at Houston Middle School. 34% of the students are enrolled in Theatre Arts. How many students are enrol
kupik [55]

Answer:

391

Step-by-step explanation:

8 0
2 years ago
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Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest
olga55 [171]

Answer:

  • <em><u>$869,776</u></em>

Explanation:

<u>1. Mortgage table</u>

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

<u>2. Amount borrowed</u>

You will make a 22% down payment:

        22\%\times \$ 426,000=\$ 93,720

Thus the amount borrowed is $426,000 - $93,720 = $332,280

<u>3. Monthly payment</u>

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

      \$ 6.74\times 322,280/1,000=\$ 2,239.57

<u />

<u>4. Total monthly payments:</u>

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

        \$ 2,239.57\times 240=\$ 537,496.13

<u>5. Total payment for the home.</u>

The total payment for the home will be the down payment plus the amount paid to the bank:

  • $322,280 + $537,496 = $869,776

6 0
3 years ago
Read 2 more answers
PLS help im going insane
scZoUnD [109]

Answer:

B) 240

Step-by-step explanation:

If you want an explanation, just ask.

Hope this helps! Pls give brainliest!

7 0
2 years ago
will has $1.67 in pennies and quarters. His number of pennies is five more than twice the number of quarters. How many pennies d
Yuliya22 [10]

p = pennies


q= quarters


p = 2q+5   (1)


.25q+.01p=1.67   (2)


substitute  the equation for pennies (1) into the 2nd equation


.25q+.01(2q+5)=1.67


distribute


.25q +.02q +.05 = 1.67


combine like terms


.27q +.05 =1.67


subtract .05 from each side


.27q = 1.62


divide by .27


q=6


p=2q+5


p=2(6)+5


p=12+5


p=17


There are 6 quarters and 17 pennies





3 0
3 years ago
Jenna brought in $25,000 to her startup firm at the beginning of the year. During the year, she withdrew $2,500 for her personal
andrezito [222]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 25,000 - 2500 = 22500

22500 + 10,000 = 32,500

The correct answer would be option D. $32,500

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
Read 2 more answers
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