Shalika bought a purse for $120. The tax rate is 9%. Which proportion can be used to find the amount of tax Shalika will pay?

A.9/120=x/100

B.120/x=100/9

C.x/120=100/9

D.120/9=100/x

Answers

Answer 1
Answer: Asking the Math Gods...

$120*.09+$120=$130.80

$10.80 in Tax

B.120/x=100/9



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Rationalize the denominator of the fraction and enter the new denominator below.8/2-√12

Find the value to of each algebraic expression at the given replacement values.

Answers

Answer:

-1

Step-by-step explanation:

x + 3xy \n x = 2 \n y =  -  (1)/(2)

Substitute thevaluesinto the equation

2 + 3(2)( -  (1)/(2) ) \n 2 + 6( -  (1)/(2) ) \n 2  - 3 \n  =  - 1

Please help i need help help

Answers

Answer:

35

Step-by-step explanation:

the two angles are equvalient because they are same side exterior angles.

105/3 = 35

Graph each pair of parametric equations.
x = 3 sin^3t
y = 3 cos^3t

Answers

Answer with explanation:

We are given a parametric equation as:

           x=3 \sin^3 t

and      y=3 \cos^3 t

Hence, we can represent our equation as:

\sin^3 t=(x)/(3)\n\n\n\sin t=((x)/(3))^{(1)/(3)}\n\n\nHence,\n\n\sin^2 t=((x)/(3))^{(2)/(3)}\n\nand\ similarly\n\n\cos^3 t=(y)/(3)\n\n\cos t=((y)/(3))^{(1)/(3)}\n\nHence,\n\n\cos^2 t=((y)/(3))^{(2)/(3)}

As we know that:

\cos^2 t+\sin^2 t=1

Hence, on putting the value in the formula we get the equation in rectangular coordinates as:

((x)/(3))^{(2)/(3)}+((y)/(3))^{(2)/(3)}=1

Hence, this is a equation of a  ASTROID.

Hello,

This is an astroïde.

(x/3)^(2/3)+(y/3)^(2/3)=1

I need to know how to set this problem up. On monday a security guard spent 4.5hours on patrol and 2hours on surveillance.On tuesday the officer spent 1 hour and 40 minutes on surveillance and 3 hours on patrol. Which day has a greater ratio of time on surveillance to time on patrol. some one said 7hours ans 30min on patrol and 40min on surveillance???

Answers

OK.......

So, 
ON MONDAY:
Time spent on patrol = 4.5 hrs
Time spent on surveillance = 2 hrs

ON TUESDAY:
Time spent on patrol = 3 hrs
Time spent on surveillance = 1 hr 40 min

Now,
The question is asking us the ratio of surveillance to patrol so, the value of surveillance needs to be on the top.

So,
Let's first change all the units to common units.....i.e. either hrs. to minutes or minutes to hrs.

In this case  .....i think it will be easier to convert minutes to hrs.. because if we do that ...we only have to do one conversion.

So,
1 hr. 40 minuter = 1hr + (40 /60) hrs
                        = 1 + 0.67 
                        = 1.67 hrs

So,
ON TUESDAY:
Time spent on surveillance  = 1.67 hrs

Now,
Let us find the ratio of surveillance to patrol on both days:

ON MONDAY:
Ratio of surveillance to patrol = (2)/(4.5)=.44444444444

ON TUESDAY:
Ratio of surveillance to patrol = (1.67)/(3)=.556666667

Now,
If we look at the ratio, the ratio of TUESDAY sure is greater than ratio on MONDAY

So, Tuesday has a greater ratio of time on surveillance to time on patrol




In the U.S., from 2004−2015, the correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is R=+0.97. Describe the relationship between the data plan size and the number of text messages sent in the U.S.

Answers

Answer: As the data plan increases, the text messages also increases. It's Perfectly straight line and positive correlation.

Step-by-step explanation:

From the question, we are told that the correlation coefficient for the relationship that exists between the size of cell phone data plan, x, and number of text messages sent, y, is R=+0.97.

This shows that a positive correlation exist between both variables. A positive correlation is a relationship that exist between two variables whereby both variables move in tandem, that is, they move in the same direction. In this equation, a positive correlation exists as one variable increases, the other increases. As data plan increases, the text messages also increases.

Translate the following, The difference between a number and ten is the same as three times the sum of the number and​ six.

Answers

Answer:

x-10 = 3(x+6)

Step-by-step explanation:

The difference between x and 10

(x-10)

Is the same thing as 3*(x+6)

=3(x+6)