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andre [41]
3 years ago
5

The population of Clayton is

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
35,000+6,370= 41,370
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A restaurant hostess is paid $50 plus 10% of the waitstaff’s tips for each night she works. If y represents her pay each night a
andrew11 [14]

Answer:

Y+x=5

Step-by-step explanation:

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3 pounds of mixed nuts how many ounces mixed nuts
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16 ounces in a pound
16*3=48
48 ounces of mixed nuts
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A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.
schepotkina [342]

Let point C has coordinates (x_C,y_C). Consider vectors

\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).

Since the ratio AB to BC is 1:4, you have that

\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.

Find x_C and y_C:

x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.

Answer: C(4,-6)

7 0
3 years ago
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You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

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3 years ago
3.4-2.8d+2.8d-1.3. Combine like terms to simplify the expression
tekilochka [14]
   
<span>3.4 - 2.8d + 2.8d - 1.3 = </span>3.4 - 1.3 - 2.8d + 2.8d = 3.4 <span>- 1.3 = 2,1



</span>
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