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Marianna [84]
3 years ago
6

Paolo keeps track of his favorite baseball player's batting average, and notices the average is 0.4727272.... If his player has

55 at bats, what is the number of hits?
Mathematics
1 answer:
SashulF [63]3 years ago
7 0

Answer:

No of hits = 26

Step-by-step explanation:

Given that,

Batting average = 0.4727272

His player has 55 at bats.

We need to find the number of hits. Let the number of hits be x. Using formula for average as :

\dfrac{x}{55}=0.4727272\\\\x=0.4727272\times 55\\\\x=25.99\\\\or\\\\x=26

So, there are 26 number of hits.

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"sam's furniture was destroyed by a fire. the furniture cost $1200 when it was purchased, but similar new furniture now costs $1
oee [108]
Deprecated means the price is decreased, so if something is deprecated by 50% (which just means 1/2 is taken away) its original price is just cut in half. so half of 1200 (1200 divided by 2) is 600. i think the answer is 600 :-)
8 0
3 years ago
A business owner has just paid $6000 for a computer. It depreciates at a rate of 22% per year. How much will it be worth in 5 ye
katovenus [111]

Answer:

It will be worth $1732.30.

Step-by-step explanation:

After 1 year : 6000 x .78 = 4680

2 yr - 4680 x .78 = 3650.4

3 yr - 3650.4 x .78 = 2847.312

4 yr - 2847.312 x .78 = 2220.90336

5 yr - 2220.90336 x .78 = 1732.304621

1732.30

I think this is what it was asking

7 0
3 years ago
–4.2 = –1.96(m − 10) + –4.2<br> Find variable
marshall27 [118]

Answer:

m=10

Step-by-step explanation:

–4.2 = –1.96(m − 10) + –4.2

–4.2=-1.96m+19.6-4.2

-19.6=-1.96m

m=10

4 0
3 years ago
Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest
jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

x+y=30000       ........(1)

We get the second equation as:

0.08x+0.18(y)=0.15\times30000

=> 0.08x+0.18y=4500

or getting rid of the decimal by multiplying by 100 on both sides.

8x+18y=450000          ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

10y=210000  

So, y = 21000

And x+21000=30000

x = 30000-21000

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

6 0
3 years ago
All three please 10 points
GaryK [48]

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

5 0
3 years ago
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