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3 years ago

Enter an equation that represents total cost, C, in dollars of the helium filled balloons for n party guests.

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

Answer:

c=n*126

Step-by-step explanation:

126 because if its 3 balloons per guest, then its $6 worth of balloons and $120 worth of helium per guest.

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PLEASE HELPPPP ASAP!!!! I REALLY NEED IT! WILL MARK BRAINLIEST!!!!

11Alexandr11 [23.1K]

Answer:

3.3

Step-by-step explanation:

d = (10 - 4) + (8 - 3)

d = 6 + 5

d = square root of 11

d = 3.31662479 or 3.3

I'll be expecting that brainliest :)

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3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

3 years ago

If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. but if you buy four pens and two me

xxTIMURxx [149]

Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.

Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

$\begin{cases} 6p+m=9\\4p+2m=8\end{cases}$