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Oksi-84 [34.3K]
3 years ago
11

Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t

hirty-sixth customer will be the first customer to get both free popcorn and apple juice. Is she right? If not, describe her mistake

Mathematics
1 answer:
uysha [10]3 years ago
8 0
No, Shani is not right.
The 1st customer to get popcorn and apple juice is the 18th customer.
She missed that 18 is a common multiple of 6 & 9

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Find the perimeter of ABHG
nadezda [96]

Answer:

  • 124 in

Step-by-step explanation:

Use ratios to find x and y, then find AB and GH, them sum up the lengths.

<u>Find x:</u>

  • 12/15 = x/10
  • x = 12*10/15
  • x = 8 in

<u>Find y:</u>

  • 12/15 = 16/y
  • y = 15*16/12
  • y = 20 in

<u>Find AB:</u>

  • y - 14 = 20 - 14 = 6 in

<u>Find GH:</u>

  • 5x - 3 = 5*8 - 3 = 37 in

<u>Find the perimeter:</u>

  • P = 6 + 15 + 20 + 10 + 37 + 8 + 16 + 12 = 124 in
6 0
3 years ago
Multiply (2-5i)(2+5i)
Ksenya-84 [330]

Answer:

29

Step-by-step explanation:

4 - 25i^2

4 - 25x(-1)

4 + 25 = 29

the ^2 means exponent 2

7 0
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Sarah has $4.50 in dimes and quarters. She has three more dimes than quarters. How many quarters does she have?
prisoha [69]

Sarah has 12 quarters

7 0
3 years ago
What is the sum of interior angles of a convex nonagon
zmey [24]
A nonagon has 9 sides, so n = 9

S = sum of the interior angles
S = 180*(n-2)
S = 180*(9-2)
S = 180*7
S = 1260

Answer is choice B
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Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
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