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2 years ago

Six friends all use $2-off coupons to buy themselves movie tickets.

Mathematics

2 answers:

emmasim [6.3K]2 years ago

5 0

Answer:

Step-by-step explanation:

Since all 6 of them used $2-off coupons, you can add $12 to the total they spent. This will get the total cost without the coupons. Since $54 is the total without coupons, you can divide the amount of tickets there were, which is 6. So the answer is $9 for each person without a coupon. Hope this helps :)

DIA [1.3K]2 years ago

3 0

the correct answer is it is $9 so B

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Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0

DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

$x=r \cos \theta, y= r \sin \theta$

$r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )$

a) converts (9, 0) to polar coordinates ( r , θ)

$r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9$

$\theta= \tan^-^1 (\frac{0}{9} )\\\\=0$

b) Convert $(18,\frac{18}{\sqrt{3} } )$ to polar coordinates ( r, θ)

$r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}$

$\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}$

c) converts (-5, 5) to polar coordinates ( r , θ)

$r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}$

$\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}$

d) converts (-1, √3) to polar coordinates ( r , θ)

$r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2$

$\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}$

$= \frac{2\pi}{\sqrt{3} }$

6 0

3 years ago

Select all input values for which g(x) = 8.

kipiarov [429]

Answer: A & C

Step-by-step explanation:

g(x) = 8 means where is y = 8?

when we go to -4 on the x-axis, the y value there is 8. so this works!

when we go to 6 on the x-axis, the y value is 6. we were looking for 8. so this does not work.

when we go to 9 on the x-axis, the y value is 8. so this works!

A & C

8 0

2 years ago

A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of

kaheart [24]

Answer:

100 liters of 10% solution is used and 20 liters of 40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

$0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100$ liters

Amount of 40% solution used = 120 -X = 120-100 = 20 liters

100 liters of 10% solution is used and 20 liters of 40% solution is used

7 0

2 years ago

Which sentence describes why polygon MNOP is congruent to polygon JKLP?

svetlana [45]

The segment MN is equal in size to the segment JK, the segment NO is equal in size to the segment KL, the segment OP is equal in size to the segment LP.

7 0

2 years ago

What is the height of a rectangular prism that has a volume 192 cubic feet and a base with an area of 48 square feet?

Westkost [7]

Answer:

A rectangular prism has 3 measurements: length (l), width (w), and height (h)

The volume of a rectangular prism has the formula: V=lwh

The area of the base of the rectangular prism is its length times its width; or

Area of base = lw

So, the volume of the rectangular prism can be written as:

Volume = area of the base * height

Substitute in your numbers:

192=48*h

h=192/48

h=4

So the height is 4 feet

Step-by-step explanation: Hope this helps. :))

3 0

2 years ago