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3 years ago

You take your car to an auto repair shop. The charge for repairs is $48 per hour plus the cost of parts. If

2 answers:

5 0

It took 7.5 hours to repair the car.
Steps: You subtract 256 from 616: 616 - 256 = 360. Then, you divide 48 from 360 and get 7.5. Hope this helps.

WARRIOR [948]3 years ago

4 0

Answer:

7.5 Hours

Step-by-step explanation:

48x + 256 = 616

- 256 = -256

-----------------------------------

48x = 360 divide both side by 48

----- -------

48 48

x = 7.5

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Let P(n) be the statement that n! < nn where n is an integer greater than 1.

Ira Lisetskai [31]

Answer: See the step by step explanation.

Step-by-step explanation:

a) First, Let P(n) be the statement that n! < n^n

where n ≥ 2 is an integer (This is because we want the statement of P(2).

In this case the statement would be (n = 2): P(2) = 2! < 2^2

b) Now to prove this, let's complet the basis step:

We know that 2! = 2 * 1 = 2

and 2^2 = 2 * 2 = 4

Therefore: 2 < 4

c) For this part, we'll say that the inductive hypothesis would be assuming that k! < k^k for some k ≥ 1

d) In this part, the only thing we need to know or prove is to show that P(k+1) is also true, given the inductive hypothesis in part c.

e) To prove that P(k+1) is true, let's solve the inductive hypothesis of k! < k^k:

(k + 1)! = (k + 1)k!

(k + 1)k! < (k + 1)^k < (k + 1)(k + 1)^k

Since k < k+1 we have:

= (k + 1)^k+1

f) Finally, as the base and inductive steps are completed, the inequality is true for any integer for any n ≥ 1. If we had shown P(4)

as our basis step, then the inequality would only be proven for n ≥ 4.

6 0

2 years ago

a pizza shop offers 30% off the price of a large pizza every Tuesday night. If the regular price is $25, what is the discounted

Elina [12.6K]

You need do like 25$--------100% of real price
x$---------70%

25x70=100x
1,750=100x
 x=1750divided by 100=17.5$

5 0

2 years ago

Read 2 more answers

2. Find the area and circumference of the circle to the right. 16.6 m

adoni [48]

Answer:

AREA:

$A=216.42m^2$

CIRCUMFERENCE:

$C=52.15m$

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

$A=\pi r^2$

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

$C=2\pi r$

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

$r=\frac{16.6m}{2}=8.3m$

Substituting the radius, you get that the area and the circumference are:

AREA:

$A=\pi (8.3m)^2=216.42m^2$

CIRCUMFERENCE:

$C=2\pi (8.3m)=52.15m$

7 0

3 years ago

Read 2 more answers

Whats -5n+12n+9+(-3) some one help me with this one

nikdorinn [45]

$-5n+12n+9+(-3)$

$-5n+12n+9-3$

$7n+9-3$

$=7n+6$

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

8 0

3 years ago

Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters

MArishka [77]

That it is 4,6090 because when u divide that ,400 by 2,400 u will get 4,000

8 0

2 years ago