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serious [3.7K]
2 years ago
15

Terry bought 7 packs of dodger peanuts at the game.If each pack holds 1 2/3 ponds of peanuts how many pounds of peanuts did terr

y purchase in total
Mathematics
1 answer:
Irina18 [472]2 years ago
8 0

Answer:

11 2/3 pounds

Step-by-step explanation:

If a pack contain 1 2/3 pounds, 7 packs would contain :

1 2/3 x 7

\frac{5}{3} × 7 = 35/3 = 11 2/3 pounds

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7/9 and 0.7 one is points and one is a fraction
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3 years ago
Read 2 more answers
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

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3 years ago
I need help on number 10 urgently.
grigory [225]

Answer: Option A. 288 cubic inches

6 0
3 years ago
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Five teachers and five students want to but ice cream from the cafeteria. The cafeteria sells chocolate,strawberry,cotton candy,
matrenka [14]

Answer:

13.75

Step-by-step explanation:

First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75

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3 years ago
Philip is hired at a delivery agency. His boss Hubert is frequently demanding of him and threatens to fire him if his work ethic
Contact [7]

Answer:

Authoritarian

Step-by-step explanation:

If this helps please brainliest

7 0
3 years ago
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