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Serggg [28]
2 years ago
9

Total = $5.33 Tax rate = 8% How much was the item?

Mathematics
1 answer:
kow [346]2 years ago
6 0

Answer:

42.64

Step-by-step explanation:

You might be interested in
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Simplify. (-2)-3 -8 - 8 user: simplify. 6x-2
Vinvika [58]
If you would like to simplify <span>(-2)-3 -8 - 8 and 6x - 2, you can do this using the following steps:

</span><span>(-2)-3 -8 - 8 = - 2 - 3 - 8 - 8 = - 5 - 8 - 8 = - 13 - 8 = - 21

6x - 2 = 2 * (3x - 1)

The correct result would be - 21 and </span><span>2 * (3x - 1).</span>
3 0
2 years ago
This list shows the lengths in feet of the 25 longest bridges in the United States.
Paladinen [302]

The length of the intervals of the given frequency table is

500 ft.

The given list shows the lengths in feet of the 25 longest bridges in the United States.

we have to determine the median and mode of the bridge data.

The median is the middle number of the data set arranged in ascending order.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.

The median is 1750.

Mode is the number that appears most often in the data set.

1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260

The mode is 1600.

Therefore the correct option is Median: 1750, Mode: 1600

So the length of the intervals of the given frequency table is

500 ft.

To learn more about the frequency of visit:

brainly.com/question/301048

#SPJ1

7 0
2 years ago
1.The following points (-4, -5), (-1, -5), (0, -5), (4, -5) are drawn on a coordinate plain. What is the domain of this function
Nutka1998 [239]

Answer:

1). (B) ; 2). (A) ; 3). (C)

Step-by-step explanation:

1). { - 4, - 1, 0, 4 }

2). { - 5 }

3). m = 0

6 0
2 years ago
Find the four geometric means between 486 and 2
melamori03 [73]

Answer:

486, 486r,486r^2,486r^3,486r^4,2

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

2 = 486r^5

-----

r^5= 1/243

----

r = 1/3

---

------

Ans: 486*(1/3),486*(1/9),486(1/27),486(1/81)

-----

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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