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SIZIF [17.4K]
3 years ago
5

When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If

you pay $90, how many months of use do you get?
Mathematics
2 answers:
Len [333]3 years ago
7 0
You get three free months of the movie service. Then you get 6 additional months of the service because 90/15=6. You receive a total of 9 months for paying $90.
Cerrena [4.2K]3 years ago
5 0
Nine months because you divide 90 by 15 and get six and then you add three for the free months for a total of nine
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The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18
KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x

Sum of their ages will be

x+x-9+x-9\\\\=3x-18

According to question,

1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19

So, Age of older sister will be 19 years.

Age of the twins will be

19-9=10\ years

Hence, the age of the twins is 10 years.

3 0
3 years ago
Quadrilateral ABCD?<br>​
Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = \sqrt{(-2 - 2)^{2}  + (-5 - 4)^{2} }

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

#SPJ9

6 0
1 year ago
Hey go to attachments and help me out- thanks very much! this is my last question for today so it would really help also stay sa
Llana [10]

Answer:

A) 250 / 8 = 31.25

31.25 x 8 = 250 Know you know that one pancake requires 31.25ml of Milk

31.25 x 4 = 125

So 4 pancakes requires 125ml of Milk

B) 5 / 8 = 0.625

0.625 x 8 = 5 So just like last time, you know that 0.625g of butter is required to make 8 pancakes

0.625 x 12 = 7.5g of Butter

So 12 pancakes requires 7.5g of butter.

Hope this makes sense !

7 0
3 years ago
Which expression is equivalent to 4 (x + 2)?<br> 6 x<br> 4 (x) + 4 (2)<br> 4 (x) + 4<br> 8x
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The answer is b - 4(x) + 4(2)
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Brian and Steve want to compare the prices of their favorite cereals to determine which is less expensive. Figure out the price
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Me being a junior in high school and not knowing middle school math
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