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mars1129 [50]
3 years ago
11

12 of the students in a Geometry class passed a Geometry test. If these students are 80% of all the students in the class, how m

any students are in this Geometry class?
Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

i wanna say 15 maybe, but it might be wrong. I havent done these type of problems in awhile.

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Question is in screenshot. Please answer it correctly
fomenos

a) You need to sell 12 or 29 dresses.

b) Any number between 2 and 39 dresses will give a positive profit.

<h3>How many dresses must be sold in order to make a profit of 3000 euros?</h3>

Here we know that the profit, in euros, as a function of the number of dresses sold is:

P(x) = -11*x^2 + 450*x - 800

Now, if you want to find how many dresses you need to sell to have a profit of 3000 euros, then you need to solve:

P(x) = 3000 = -11*x^2 + 450*x - 800

So we need to solve the quadratic equation:

-11x^2 + 450x - 800 - 3000 = 0

-11x^2 + 450x - 3800 = 0

The solutions are given by Bhaskara's formula:

x = (-450 ± √(450^2 - 4*(-3800)*(-11))/2*(-11)

x = (-450 ± 187.9)/(-22)

We have two solutions that give the same profit:

  • x = (-450 + 187.9)/-22 = 11.9 that can be rounded to 12.
  • x = (-450 - 187.9)/-22 = 28.99 that can be rounded 29.

Then if you sell either 12 or 29 dresses, you will get a profit of 3000 euros.

b) To make a profit you need to sell more than P = 0, so let's solve that first:

P= 0 = -11*x^2 + 450*x - 800

The solutions are:

x = (-450  ± √(450^2 - 4*(-800)*(-11))/2*(-11)

x = (-450  ± 409)/(-22)

The smaller solution is:

x = (-450 + 409)/-22 = 1.86 that can be rounded to 2.

(because you can't sell 1.86 of a dress)

The other solution is:

x =  (-450 - 409)/-22 = 39

So, between 2 and 39 dresses, you will make a profit.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
1 year ago
PLEASE HELP WITH QUESTION C
GalinKa [24]

Answer:

Discount: 25%

Tax: 6.5%

Step-by-step explanation:

Percentage of discount:

x/100 = 10/39.99 (what percentage is 10 of 39.99) (%/100=is/of)

= 25%

Percentage of tax:

x/100 = 1.95/29.99

= 6.5%

8 0
3 years ago
A remote-controlled plane is flying 16.5 meters above the ground. The plane dives 8 meters
s2008m [1.1K]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
8(3a+5)???? please help!!!!!! ASAP!!!!
r-ruslan [8.4K]

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

3 0
3 years ago
Read 2 more answers
A cone has a diameter of 3 inches the cone holds 12 cubic inches of water to the nearest in what is the height
LUCKY_DIMON [66]

Answer:

5 inches

Step-by-step explanation:

A cone's volume can be found using the formula V = \frac{1}{3} \pi r^2 h. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

V = \frac{1}{3} \pi r^2 h \\12 = \frac{1}{3} \pi (1.5)^2 h \\12 = \frac{1}{3} \pi (2.25) h\\12 = 2.355h\\5.10 = h

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.

3 0
3 years ago
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