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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What is the mean of the data set? I got 177 when i added up the numbers but what would i divide 177 by?12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 A.14.00 B.14.75 C.15.75 D.13.50
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Please help...The radius of the planet is 4100 miles. Find the distance d to the horizon that a person can see on a clear day from a height of 1298 feet above the planet. (hint: use the conversion 1 mile = 5280 ft) Round your answer to the nearest 10th, and don't forget to convert feet to miles.

Answers

First, we are going to convert 1298 feet to miles. Since we know that 1 mile = 5280 ft, we are going to multiply 1298 ft by (1mi)/(5280ft) to do that:
1298ft*(1mi)/(5280ft)= (59)/(240) mi

Next, we are going to set up a right triangle using the radius of the Earth and the distance above the planet.
The hypotenuse of our triangle will be the radius of the Earth + the distance above the planet. One of the legs of our triangle will be the radius of the Earth, and the other leg, d, will be the distance that a person will see on a clear day.
Using the Pythagorean theorem:
d^2= ((984059)/(240) )^2-4100^2
d= \sqrt{((984059)/(240) )^2-4100^2}
d=44.9 miles

We can conclude that the distance, d, to the horizon that a person can see on a clear day from a height of 1298 feet above the planet is 44.9 miles.

What is the solution of the system defined by y = -x + 5 and 5x + 2y = 14?Ax=1/3, y=11/7
Bx=4/3, y=11/3
Cx=5/11,y=0
Dx=4/3,y=1

Answers

y = -x + 5
5x + 2y = 14

5x + 2(-x+5) = 14
5x - 2x + 10 = 14
3x = 14 - 10
3x = 4
x = 4/3 or 1 1/3

y = -x + 5
y = -4/3 + 5
y = -4/3 + (5 * 3/3)
y = -4/3 + 15/3
y = -4+15 / 3 
y = 11/3 or 3 2/3

Correct answer is B. x = 4/3 ; y = 11/3


Answer:

the answer is c i think

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.

Answer:

2 π

explanation:

I took the quiz

A dart hits the small circular target shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the target is 8 cm, and the radius of the shaded region is 3 cm.Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer: The probability is P = 0.14

Step-by-step explanation:

We know that the dart will land on the larger circle, then we have a 100% of probability that the dart will land on the larger circle.

Then the probability of the dart landing on the smaller circle will be equal to the quotient between the areas of the smaller circle and the larger circle.

The area of a circle of radius R is:

A = 3.14*R^2

Then the area of the larger circle is:

A = 3.14*(8cm)^2 = 200.96 cm^2

And the area of the smallest circle is:

a = 3.14*(3cm)^2 = 28.26 cm^2

Then the probability of the dart landing on the shaded region is:

P = (28.26 cm^2)/(200.96 cm^2) = 0.14

If I have the height and volume of a cylinder, how do I find the radius? or diameter?

Answers

If you have the volume, that's a pretty good giveaway that you ought to use
the formula for the volume of a cylinder, since it involves all the other things ...
the things you're given, and the things you need to find.  If you know the formula
for the volume of a cylinder, you can whip out the answer in a second.  If you don't
know the formula, then you are toast.

Volume of a cylinder = (pi) (radius)² (length or height)

Divide each side of the equation by (pi) x (height) and you have

(Radius)² = Volume / (pi x height)

You HAVE volume and height, so you can use this equation to calculate
the radius.  Once you have that, if you need the diameter, it's just double
the length of the radius.

That's how.
V=\pi r^2h\n r^2=(V)/(\pi h)\n r=\sqrt{(V)/(\pi h)}

5x-8 (4x-7)=2 solve for x

Answers

5x - 8(4x - 7) = 2

First, expand your problem. / Your problem should look like: 5x - 32x + 56 = 2
Second, simplify 5x - 32x + 56. / Your problem should look like: -27x + 56 = 2
Third, subtract 56 from both sides. / Your problem should look like: -27x = 2 - 56
Fourth, subtract 2 - 56 to get -54. / Your problem should look like: -27x = -54
Fifth, divide both sides by -27. / Your problem should look like: x =  (-54)/(-27)
Sixth, simplify the fraction to - (54)/(27) / Your problem should look like: x =  (54)/(27)
Seventh, simplify. / Your problem should look like: x = 2

Answer: x = 2