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Anuta_ua [19.1K]

2 years ago

5

The selling price for a classic car is $12,000 , which is $1000 less than two times its original price. What was the original pr

ice of the car?

1 answer:

Leya [2.2K]2 years ago

6 0

$25000 _____$12,000x2 + $1000
=25,000

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

<em>Pressing one button</em>
<em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

2 years ago

If x = -2, what does -x mean

pickupchik [31]

Answer:

<h2><em><u>-x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em></h2>

Step-by-step explanation:

<em><u>If</u></em><em><u>,</u></em>

x = -2

<em><u>Then</u></em><em><u>,</u></em>

-x = -(-2)

=> <em><u>-x = 2 (Ans)</u></em>

6 0

2 years ago

Write the equation of the line that passes through the points (0,8) and (-1,-4).

Anettt [7]

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

5 0

2 years ago

4/9 expressed as a percent please help and show work! Please

coldgirl [10]

4/9 as a percent is (about) 44% Work:
First get a decimal by dividing 4/9(4 divided by 9) you get 0.44 repeating
Next, take away the 0. and add a percent sign at the end of 0.44. You get 44%
Truly, the answer is 44.44444...% because the four repeats, but if you round it is simply 44%

7 0

3 years ago

Read 2 more answers

Jen classifies the number 4.567 as an irrational number because it does not repeat. Is Jen correct? Explain.

lilavasa [31]

Answer:

Yes

Step-by-step explanation:

That number is irrational because it does not repeat and rational number repeats

3 0

2 years ago

Read 2 more answers