in one baseball season, Peter hit twice the difference of the number of homeruns Alice hit and 6. Altogether, they hit 18 home runs. How many home runs did each player hit that season?

Answers

Answer 1

Answer: Peter hit 12 home runs because 18 - 6 = 12

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you and your mom enter a drawing with 3 different prizes. a total of 10 people entered the drawing, and prizes are awarded randomly. there are 720 ways to award the prizes

Answers

Answer:

The correct option is A.

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that i win the first prize and my mom wins the second prize would be 8/720 ....

Please help me with the question below! its due in 10 minutes!
thank you sm!

Answers

Answer:

To find the composite function (f ◦ g)(x), we need to substitute g(x) into f(x) and simplify.

Given:

f(x) = x

g(x) = -2x + 3

To find (f ◦ g)(x), we substitute g(x) into f(x):

(f ◦ g)(x) = f(g(x))

Substituting g(x) into f(x), we get:

(f ◦ g)(x) = f(-2x + 3)

Since f(x) = x, we replace f(-2x + 3) with (-2x + 3):

(f ◦ g)(x) = -2x + 3

Therefore, the composite function (f ◦ g)(x) is -2x + 3.

A population of 3.5 million bacteria increases by 488000 . How many bacteria are there now?

Answers

3.5 million=3500000
3500000 + 488000=3988000

，3988000 are there bacterias

Simplify -4 + (-3) + 6

Answers

Start off with: -4 + (-3) + 6

First of all, when there is a, + sign and a - sign next to each other, the - side wins. E.g. 1 +- 3 = 1 - 3

So, apply this to our one:
-4 -3 +6

From there you solve, you can do this using the number line method or whatever you are into:
=-7 + 6
=-1
The answer is -1

Answer:. You would add the -3 + -4 together because they are the same type of member. So -4+-3=-7

-7 + 6 =-1

The answer would be-1

Step-by-step explanation:

Put the fractions in order from smallest to largest.
5/12
2/3
5/6

Answers

2/3 = 8/12
5/6 = 10/12

10/12, 8/12, 5/12

5/6, 2/3, 5/12 is the order

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partial sum of the series, as a quadratic function, where x represents the term number.

Answers

Answer: 3x2 + 51x

Step-by-step explanation:

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=(a_1+a__n)/(2)\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=(51+48+3(2n-1))/(2)\cdot n=(99+6n-3)/(2)\cdot n=(96+6n)/(2)\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

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