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Sliva [168]
3 years ago
10

2a + 3b = 5 b = a - 5

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
<h2>1st Equation:</h2>

Answer for A:

a =  \frac{5 - 3b}{2}

Answer for B:

b =  \frac{5 - 2b}{3}

<h2>2nd Equation:</h2>

Answer:

a = b + 5

<u>hope it helps</u><u>.</u>

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Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i
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Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

Where

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The equation becomes

18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68

324 = 100 + p^2 - 20 * p * 0.375

324 = 100 + p^2 - 7.5p

Collect Like Terms

p^2 - 7.5p + 100 - 324 = 0

p^2 - 7.5p - 224 = 0

Using quadratic formula:

p = \frac{-b\±\sqrt{b^2-4ac}}{2a}

Where

a = 1

b = -7.5

c = -224

p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

p = \frac{7.5\±\sqrt{56.25+896}}{2}

p = \frac{7.5\±\sqrt{952.25}}{2}

p = \frac{7.5\± 30.86}{2}

p = \frac{7.5 + 30.86}{2} or p = \frac{7.5 - 30.86}{2}

p = \frac{38.36}{2} or p = \frac{-23.36}{2}

p = 19.18 or p = -11.68

But length can not be negative.

So:

p = 19.18

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3 years ago
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A jar contains 8 red marbles numbered 1 to 8 and 4 blue marbles numbered 1 to 4. A marble is drawn at random from the jar. Find
Daniel [21]

Answer:

66.6%

Step-by-step explanation:

The probability that it is blue or odd, would be the quotient between the marbles of these characteristics and the total number of marbles.

Now, we know that there are four blue marbles altogether. The odd ones, in the case of the red ones since there are eight, are the marbles 1,3,5,7 and in the blue ones the odd ones are not counted because they are already included as blue; therefore there are a total of four odd marbles. In total, between odd and blue there are eight marbles.

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