Solve the inequality for x<br> -x+23<2-2(x-8)

Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the a

3241004551 [841]

Let x be the number of days and y represent miles driven.

Since it costs 25 per day, you multiply 25 by x.
25x

10 cents (otherwise known as .1 dollars) per mile, multiply .1 times y. Now add the two.
.1y

25x+.1y

The answer is <span>a.) 25x + 0.1y</span>.

5 0

3 years ago

Suppose a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 h

vladimir2022 [97]

A) The probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

B) The probability the golfer got exactly two holes-in-one during a single game is 8.57%.

C) The probability the golfer got six holes-in-one during a single game is close to 0%.

<h2 /><h2><u>How to determine probabilities</u></h2>

Since a miniature golf player sinks a hole-in-one about 12% of the time on any given hole and is going to play 8 games at 18 holes each, to determine A) what is the probability the golfer got zero or one hole -in-one during a single game, B) what is the probability the golfer got exactly two holes-in-one during a single game, and C) what is the probability the golfer got six holes-in-one during a single game , the following calculations must be performed:

1 - 0.12 = 0.88
0.88 ^ 17 = 0.1138
0.88 ^ 18 = 0.1001

Therefore, the probability the golfer got zero or one hole-in-one during a single game is between 10.01% and 11.38%.

0.88 ^ 18 - 0.12 ^ 2 = X
0.0857 = X

Therefore, the probability the golfer got exactly two holes-in-one during a single game is 8.57%.

0.12 ^ 6 x 0.88 ^ 12 = X
0.0000000001 = X

Therefore, the probability the golfer got six holes-in-one during a single game is close to 0%.

Learn more about probabilities in brainly.com/question/25273534

3 0

3 years ago

What is the compounded interest if $410 is invested for 10 years at 8% compounded continuously

tatiyna

$\bf \textit{Continuous Compounding Amount}\\\\
A=Pe^{rt}\qquad \begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$410\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
t=years\to &10
\end{cases}$

so, that gives you the compounded amount, after 10 years, if you want to know how much interest was earned? well, just subtract the Principal from the Amount, or A - P <--- that's how much interest was earned

4 0

3 years ago

Read 2 more answers

The label on a juice carton says there are 50 calories in a 4-ounce serving of juice. Arthur drinks 12 ounces of juice. How many

jeka57 [31]

He will consume 150 calories

3 0

3 years ago

Read 2 more answers

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago

Solve the inequality for x -x+23<2-2(x-8)