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2 years ago

K! I finished! I only had markers though XD Hope you like it!

Mathematics

2 answers:

lidiya [134]2 years ago

7 0

It’s really good keep it up

kiruha [24]2 years ago

5 0

10 x 10 = 100

(That is a very nice drawing. Keep it up, and you could become an artist! I used to draw like that too lol. Brainlest pls!)

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Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What

Oksi-84 [34.3K]

Hey there!!

The total cost is $52.

She paid $12 more for the layer cake than the cupcake.

Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x

The sum of these would result in $52.

... x + x + 12 = 52

... 2x + 12 = 52

... 2x = 52 - 12

... 2x = 40

... x = 20

Hence, the price of the cupcake is $20 and the price of the layer cake is $32.

Hope my answer helps!!

5 0

2 years ago

Simplify radicals problems attached please help!

Finger [1]

Answer:

G7. (2√3)/3

G8. -2+√7

G9. (6 +2√2 -3√3 -√6)/7

Step-by-step explanation:

G7.

$\dfrac{2}{\sqrt{3}}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{2\sqrt{3}}{3}$

G8.

$\dfrac{3}{2 +\sqrt{7}}=\dfrac{3}{2+\sqrt{7}}\cdot\dfrac{2-\sqrt{7}}{2-\sqrt{7}}=\dfrac{6-3\sqrt{7}}{2^2-(\sqrt{7})^2}\\\\=\dfrac{6-3\sqrt{7}}{-3}=\sqrt{7}-2$

G9.

$\dfrac{2-\sqrt{3}}{3-\sqrt{2}}=\dfrac{2-\sqrt{3}}{3-\sqrt{2}}\cdot\dfrac{3+\sqrt{2}}{3+\sqrt{2}}=\dfrac{(2-\sqrt{3})(3+\sqrt{2})}{9-2}\\\\=\dfrac{6+2\sqrt{2}-3\sqrt{3}-\sqrt{6}}{7}$

_____

<em>Comment on the problems</em>

In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).

The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.

8 0

3 years ago

if you deposit $10000 at 11%(simple interest), how long will it be until the total amount in the account is $21000?

ki77a [65]

10000:100*11=1100 income per year

21000-10000=11000 need to have income

11000:1100=10 years will pass time

4 0

3 years ago

An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer

liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

$\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1$