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HACTEHA [7]
3 years ago
11

Which expression is equivalent to (18x + 9k) + (2x + 6k)?

Mathematics
2 answers:
Alika [10]3 years ago
7 0

Answer:

20x + 15K

Step-by-step explanation:

just add like variables (x and Y)

Verizon [17]3 years ago
4 0

20x + 15k is the answer we just have to remove the bracket and add the terms

hope it helps

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An engineer is standing 250 meters away from a building. She measures the angle of elevation to the top of the building to be 30
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Answer:

144m

Step-by-step explanation:

we would used tan 30 to determine the height of the building

tan 30 = opposite / adjacent

0.5774 x 250 = 144m

3 0
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Is 90 ten times as much as 0.9
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No it is 0.9x10= 9. 0.9x 100 would be 90
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Simplify the expression.<br><br> 55−4⋅5+12
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Your answer is 62.5. Hope i helped
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You have 10 coins in a jar, 3 pennies, 5 quarters and two dimes. if you take out 3 quarters, 2 pennies and 2 dimes, how much cen
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There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take a
e-lub [12.9K]

Answer: 6 or 9

Step-by-step explanation:

Given the following :

Let the number of green pens = x

Number of red pens = x + 3

Probability of picking same color = 17/35

Taking two pens at random; probability of picking two pens of same color.

Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick

Probability = (Required outcome / Total possible outcomes)

Total number of pens = x + x + 3 = 2x + 3

Probability of picking red then red:

P(red first) = (x+3)/2x+3

P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)

Therefore, probability of red then red =

(x+3)/(2x+3) × (x+2)/2x+2)

= (x+3)(x+2) / (2x+3)(2x+2)

Probability of green then green:

P(first green) = x/(2x+3)

P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)

P(green then green) = x(x-1)/(2x+3)(2x+2)

Therefore,

[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35

(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35

Cross multiply :

35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)

35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)

70x^2 + 140x + 210 = 68x^2 + 170x + 102

70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0

2x^2 - 30x + 108 = 0

Now we have a quadratic equation which can be factoeized used using any known factorization method.

Factorizing this, we get

(x-6) = 0 or (x-9) = 0

x = 6 or x = 9

6 0
3 years ago
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