a baseball team has won 15 games and lost 12 games. Based on the results, which is the best prediction for the number of wins the team will have if they play162 games

Answers

Answer 1
Answer: 90
15 is 5/9 of 27... 90 is 5/9 of 162
Answer 2
Answer: games lost : games played --> games lost/games played

12/15 =?/162
 cross multiply and divide. --> 12 x 162/15 =129.6 
that means, they will lose about 130 games out of 162. therefore they will win about 32 games. 

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A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the end of one year, he earned $92 in interest. How much money was invested in each account?A) $1,500 at 2%; $2,300 at 4%
B) $1,400 at 2%; $2,200 at 4%
C) $1,000 at 2%; $1,800 at 4%

Answers

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Let the principal amount be 'x'.

First rate of interest = 2%

Second rate of interest = 4%

Number of years = 1

Amount of interest he earned = $92

According to question,

(x* 2)/(100)+((x+800)* 4)/(100)=92\n\n(2)/(100)(x+2(x+800))=92\n\nx+2x+1600=(92* 100)/(2)\n\n3x+1600=4600\n\n3x=4600-1600\n\n3x=3000\n\nx=(3000)/(x)\n\nx=\$1000

So, First investment of $1000 at 2% and Second investment of $1000+$800=$1800 at 4%.

Hence, Option 'C' is correct.

x the first account  interest = x/100*2 = 2x/100 
(x + 800)/100 * 4 =( 4x + 3200)/100 
2x/100 + (4x + 3200)/100 = 92
2x + 4x + 3200 = 9200 
6x = 6000
x = 1000
C is the answer

Expanding Brackets when cubed eg(x - 5)3 Answer given is xcubed -15xsquared + 75x -125 How do I work this? I can do two brackets but having trouble with the three brackets. Thanks

Answers

Solve like this - (x-5)^3
= (x-5)(x-5)^2
= (x-5) ( x^2 -10x + 25)
= x^3 -15x^2 + 75 - 125

Hope this helped

A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches. How tall is the fish tank?

Answers

Answer:

fish tank is 14.87 ≈ 15  inches tall.

Step-by-step explanation:

Given  : A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches.

To find  :  How tall is the fish tank.

Solution : We have given  that volume of fish tank  = 3240 cubic inches.

                                               Length of tank = 12 inches.

                                               Width of tank =  18 inches .

Volume of rectangular tank = length * width * height

3240  = 12 * 18* height .

3240 =  216 * height.

On dividing both side by 216 and switching the sides .

Height = (3240)/(216) .

Height =  14.87 inches  

Therefore,  fish tank is 14.87 ≈ 15  inches tall.

Volume = length x Base x height

3240 = 18 x 12 x H

 3240 = 216 x H

H = 3240 / 216 = 15 inches

Adding 1/2 to 1/4 equals

Answers

1/2 + 1/4= 3/4

1/2 + 1/2 = 2/4

2/4+ 1/4= 3/4

To find the difference of 7- 3 5/12 how do yu rename the 7

Answers

Since we need them to be fractions, 7 could be 7/1. but now we need a common denominator, so lets find one!

7*12 = 84
1*12 = 12

Answer: 84/12


Alexia made a down payment of $1825 on a car, and then paid 36 monthly payments of $415. If the loan had 0% interest, how much did Alexia pay for the car?

Answers

General Idea:

Amount of money paid for a loan with 0% interest can be given by the below formula:

Total amount = Down payment + Number of months* Monthly Payment

Applying the concept:

Substituting $1825 for down payment, 36 for number of months and $415 for monthly payment in the formula given above, we get...

Total amount = 1825+36* 415=1825+14940=16,765

Conclusion:

Alexia paid an amount of $16,765 for the car.