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andrezito [222]
3 years ago
12

As of 2010, the new york yankees had one more world series championships than any other team. in fact, the yankees had won 3 few

er than 3 times the number of world series championships won by the second most winning team, the st. louis cardinals. the sum of the two teams' world series championships is 37. how many times has each team won the world series?
solve using a system of equations. please show work.
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

Step-by-step explanation:

first you get your equations, because the game sums are based upon the st louis cardinals we will use them as x.

According to the problem the yankees won 3 fewer (-3) that 3 times (3x) the st louis cardinals which brings their equation to 3x-3

The sum of these to equations equals 37

37=x+3x-3

when you solve, you get x=10

then you plug it into the DIFERENT equations

3(10)-3=27 (yankees)

x=10

then check using your preffered method

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What is the value of the expression? 9^2÷(-3)^0
stiv31 [10]
Step 1. Simplify 9^2 to 81
81 <span>÷ (-3)^0
Step 2. Use Rule of Zero: x^0 = 1
81 </span><span>÷ 1
Step 3. Simplify 
81</span>
5 0
3 years ago
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monu
Leokris [45]

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

8 0
3 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

Cakes sold = 8

Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

72 + 8P + 14P = 402

Collect Like Terms

8P + 14P = 402 - 72

22P= 330

Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

C = 24

<em>Hence, the price of the cake is $24 and the price of the Pie is $15</em>

7 0
3 years ago
for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep
Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000

1,404,000 different plates possible.

4 0
3 years ago
The second quartile of a data set is 4.2. Which statement about the data values is true?
Setler [38]
The second quartile is also the median. which is 50% of the data. So 1/2 of the data lies below it, and 1/2 of the data lies above it.
the correct answer would be A. the data value of 2.5 will lie below the second quartile.
6 0
3 years ago
Read 2 more answers
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