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Mice21 [21]
3 years ago
14

Hi, could someone please help me with this Math problem, Thank you.

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
<h3>Explanation:</h3>

18. The 5 only needs to be "distributed" to terms that are inside the parentheses where 5 is on the outside. Here, the only term in the parentheses is 2x. Anne apparently also multiplied -3 by 5, erroneously. The -3 term is not inside the parentheses, so should be left alone when "distributing" the 5.

The left side of the equation simplifies to 10x -3, so Anne should have had ...

  10x -3 = 20x +15

  -18 = 10x . . . . . . . . . add -15-10x

  -1.8 = x . . . . . . . . . . divide by 10.

The solution is x = -1.8.

___

19. Procedure: Subtract the right side of the equation from both sides. Use the distributive property as many times as necessary to eliminate parentheses. Collect terms. Divide by the coefficient of x. Subtract the constant.

  5[3(x+4) -2(1 -x)] -x -15 = 14x +45 . . . . . . . original equation

  5[3(x+4) -2(1 -x)] -x -15 -14x -45 = 0 . . . . . right side subtracted

  5[3x+12 -2 +2x] -x -15 -14x -45 = 0 . . . . . . inner parentheses eliminated

  15x +60 -10 +10x -x -15 -14x -45 = 0 . . . . . outer parentheses eliminated

  (15 +10 -1 -14)x +(60 -10 -15 -45) = 0 . . . . . like terms associated

  10x -10 = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . simplified

  x - 1 = 0 . . . . . . . . . divide by the coefficient of x

  x = 1 . . . . . . . . . . . . subtract -1 (same as add 1)

The solution is x = 1.

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son4ous [18]

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

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7 0
3 years ago
6(-3-7)=? Please help!
katovenus [111]

Answer:

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If my answer is right, please give it the brainliest.

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3 years ago
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Ms. Benitez earns $3,400 every month. She spends 25% of her earnings on rent and 30% of the remainder of transportation. How muc
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Answer:

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3 years ago
Solve for x and y
bekas [8.4K]

Answer:

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Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

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⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

⇒ 4² + (2√2)² = y²

⇒ y² = 24

⇒ y = √24

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7 0
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