the sales tax in Illinois is 6.25%. about how much will a pair of jeans that has a ticket price of $48.99 cost, including sales tax?

Answers

Answer 1
Answer:

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

                 = $49.05


Therefore, the total cost including sales tax is $49.05


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127.5
is what percent of
51
?

Answers

To solve this, you need to divide 127.5 by 51:
127.5/51 = 2.5
To find the percent, multiply 2.5 by 100:
2.5 x 100% = 250%
So 127.5 is 250% of 51

What is the solution of the equation?-10 + sqrt x+8 = -4

Answers

D:x+8\geq0\to x\geq-8\n\n-10+√(x+8)=-4\ \ \ /+10\n\n√(x+8)=-4+10\n\n√(x+8)=6\iff x+8=36\n\nx=36-8\n\nx=28\in D

Mark and his friends order two pizzas of the same size the first pizza is cut into 6 slices of equal size the second pizza is cut into 4 slices of equal size each person plans to take 2 slices of pizza Mark concludes that he would get more pizza by taking 1 slice from each pizza instead of 2 slices from the first pizza explain why mark is correct

Answers

Answer:

The first pizza is 6 slices, so each slice is 1/6 of a pizza. The second pizza is 4 slices, so each slice is 1/4 of a pizza. If you were to take one slice of each, you would get 1/6 +1/4 slice, which would be 5/12 of a pizza, as opposed to if you took 2 slices of the first pizza, which would only be 4/12 of a pizza.

Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 pi ).

Answers

2cos^(2)(x) + cos(x)-1 = 0

This could also be written as, where a = cos(x)

2a^(2) + a - 1 = 0

This would factorize to give:

 (2a-1)(a+1)=0

So we can factorize our original expression:

2cos^(2)(x) + cos(x)-1 = 0  \n  \n (2cosx - 1)(cosx+1) = 0

We can then solve for x as we would with a normal quadratic:

2cosx -1 =0  \n  \n cosx =  (1)/(2)  \n  \n x = cos^(-1)( (1)/(2) )   \n  \n x =  ( \pi )/(3),   (5 \pi )/(3)

And also:

cos(x)+1 = 0  \n  \n cos(x)= -1  \n  \n x = cos^(-1)(1)  \n  \n x = 0, 2 \pi

So our values for x are:

x =0, ( \pi )/(3), (5 \pi )/(3), 2 \pi

As: 0 \leq x\ \textless \ 2 \pi

Our final solutions for x are:

x = \boxed{0, ( \pi )/(3), (5 \pi )/(3)}


The solutions to the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.

We have,

To solve the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π), we can use a substitution technique.

Let's substitute cos(x) with a variable, say, u.

The equation becomes:

2u^2 + u - 1 = 0.

Now, we can factorize the quadratic equation:

(2u - 1)(u + 1) = 0.

Setting each factor equal to zero, we have:

2u - 1 = 0 or u + 1 = 0.

Solving these equations separately, we find:

2u = 1 or u = -1.

For 2u = 1, we get u = 1/2. Taking the inverse cosine of 1/2,

We have cos(x) = 1/2.

For u = -1, we get u = -1. Taking the inverse cosine of -1, we have cos(x) = -1.

Now, we need to determine the solutions for x within the given interval [0, 2π).

For cos(x) = 1/2, the solutions within the interval are x = π/3 and x = 5π/3.

For cos(x) = -1, the solution within the interval is x = π.

Therefore,

The solutions to the equation 2cos²(x) + cos(x) - 1 = 0 over the interval [0, 2π) are x = π/3, 5π/3, and π.

Learn more about equations here:

brainly.com/question/17194269

#SPJ6

I know this is like the 700th question I've asked​

Answers

Answer:

BC = 15

Step-by-step explanation:

Because of parallel lines, AD and BE, triangles ADC and BEC are similar.

In similar triangles, the lengths of corresponding sides are proportional.

AC/BC = DC/EC

We see that AC = AB + BC = 3 + BC

Also, DC = DE + EC = 2 + 10 = 12

(3 + BC)/BC = 12/10

(3 + BC)/BC = 6/5

Cross multiply.

5(3 + BC) = 6BC

15 + 5BC = 6BC

15 = BC

BC = 15

A passenger elevator in the sears tower in chicago can lift people 960 feet in 1 minute and 30 seconds. How fast must the friend elevator be traveling if it lifts cargo the same height but in 2 minutes and 30 seconds?

Answers

32 feet every five seconds, I think.