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Thank you CPhill!

but CPhill it says " for a member of the art museum" so that means that the person is already a member.....they have already paid!

Good job, rosala.....!!!

Rosala, I can see how two different interpretations of this problem might be made....geno is including the original membership cost in the "total" cost of 10 visits.....you're just including the $3 per visit in the "total" cost for 10 visits.....

Since they include the cost of membership in this question, maybe geno's method is preferable, but I'll give you points for a good answer, too.....

So in this the value of x is 10 so we will solve the expression by putting the value of x in its place!

-x/5 + 7

= -10/5 + 7

(now we will sut or reduce -10/5)

= -2 + 7

(now we will simply subtract the two)

= 5  ANSWER

So we will do this like!

(of means multiplication)

$$\frac{1}{4}* 360$$

(now we will devide or cut the denominator by the whole number as much as we can)

= 1/4 * 360 

=  1 * 90

= 90  ANSWER

But geno...they are saying that whats the cost for someone whose already a member.....so to be a member one got to pay $ 16 on the spot so how can 46 be the total cost?

i dont know.........maybe be the calc that has been lying on this site for "centuries" knows!

This is the equal (=) sign that is used to present the equality between two values!

for example:

2 = 2

Yes!

That helped lots!

thank you very much both of you!

I'm logging off

Please                                   Parentheses      <---  first

Excuse                                  Exponents

My                                        Mutiplication        (this is tied with division, working from left to right)

Dear                                      Division

Aunt                                     Addition               (this is tied with subtraction, working from left to right)

Sally                                     Subtraction    <--- last

                                     20÷2(5 + 5)

Parentheses                    20÷2(10)

Division                             10(10)

Multiplication                         100

2x^2+9x=-5  add 5 to both sides

2x^2 + 9x + 5 = 0   this won't factor.....using the on site solver to find "x," we have

$${\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{41}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{9}}\right)}{{\mathtt{4}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{41}}}}{\mathtt{\,-\,}}{\mathtt{9}}\right)}{{\mathtt{4}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{3.850\: \!781\: \!059\: \!358\: \!212\: \!2}}\\
{\mathtt{x}} = -{\mathtt{0.649\: \!218\: \!940\: \!641\: \!787\: \!8}}\\
\end{array} \right\}$$

-2(a+7)

=-2×a + - 2×7

= -2a    -  14

Draw right triangle ABC with the right angle at C.

If you look at angle A, since "adjacent" means "next to", there are two sides that are next to, or touching, or adjacent to angle A. One is sides AC, and the other is side AB. Since side AB alreadly has a name, it's the "hypotenuse", side AC is the adjacent side.  When looking at angle A, side BC is the side on the opposite side of the triangle, so it is called the "opposite" side.

Similarly, when referring to angle B, there are two sides that are adjacent (or touching, or next to) to angle B. One is side BC and the other is side BA. Since side BA is the hypotenuse, BC is the "adjacent" side. In this case, side AC is opposite angle B.

You have to solve for 2x first then halve the answer.

How?

First add 2sin2x to both sides.

then

subtract 3 from both sides.

then

divide both sides by 5

then

use  inverse sin ( on this calc that is asin )

van you take it from there?

Ask if you need more help.

And explain why ☺

Thanks anon  ☺

That is most definitely correct!

integrate(1/2!)

We have the general formula:

$$\int k dx = kx + C$$

Where k is a constant.

So we get:

$$\int \frac{1}{2}dx = \frac{1}{2}x+C$$

19                                                                                                                                                                        

Without the sales tax being added, he would have received $5.43 + $1.12 = $6.55 back.

Then, the sale price of the flowers - without the added tax - must have been $20 - $6.55 = $13.45.  And since this was 50% of their original cost, the original cost must have been twice this much = $26.90.

Once you have paid your $16.00 membership fee, you have to pay just $3.00 per visit.

So, for 10 visits, you will pay 10 x $3.00 or $30.00.

Don't forget to include your initial membership fee of $16.00,

        so your total fee will be  $16.00 + $30.00  =  $46.00.

x² - 4x + 3  =  4x - 13

Subtract  4x  from both sides:

x² - 8x + 3  =  -13

Add  13  to both sides:

x² - 8x + 16  =  0

Factor:

(x - 4)(x - 4)  =  0

So, either  x - 4  =  0  or  x - 4  =  0

--->               x  =  4    or     x  =  4

Obviously,  x  =  4.

Notice, rosala, that a = 200 and b = 6....so,  194 = (200 - 6) and 206 = (200 + 6)

So   .....194 x 206 =

(200 - 6)  x (200 + 6) =  (a - b) x (a + b)  =

200*200  - 6*200 + 6*200 - 6*6......notice that the two "middle terms" just "cancel" each other....so we have

200² - 6²   =   a² - b² =  39964

And we have proved that  a² - b²  = (a -b) x (a + b)

Does that make sense??

The idea of using  a + b  and  a - b  is this:

The larger number, 206, is  a + b  and the smaller number, 194, is  a - b.

'a' turns out to be the middle number between the larger and the smaller; in this case,  a = 200  because  200  is halfways between  194  and  206.

'b' is the distance between  a  and the larger number and also the distance between  a  and the smaller number; in this case  b = 6  because  200  is  6  away from both  194  and  206.

206  =  200 + 6

194  =  200 - 6

194 x 206  =  (200 - 6)(200 + 6)

                       (a - b)(a + b)

Since  (a - b)(a + b)  =  a² - b²

             (194)(206)  =  (200 - 6)(200 + 6)  =  200² - 6²  =  40000 - 36  =  19964

Does this help?

6+2=8 -.-''