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luda_lava [24]
3 years ago
15

TO

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

50 soldiers must be transferred elsewhere.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.

30 days of provisions - 200 soldiers

40 days of provisions - x soldiers

40x = 200*30

Simplifying by 40

x = 5*30 = 150

The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.

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Consider the equation below. "-2(5x+8)=14+6x" The equation was solved using the following steps.
diamong [38]

The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.

<h3>Solving steps for the Equation</h3>

The equation to be considered as given in the task content is; -2(5x+8)=14+6x.

It follows from the task content that the steps for solving the equation are as follows;

-2(5x+8) = 14+6x

  • Step 1: opening parenthesis

-10x - 16 = 14 + 6x

  • Step 2: collect like terms

-10x - 6x = 14 + 16

  • Step 3: evaluate

-16x = 30

  • Step 4: Division

x = 30/-16

x = -15/8

Hence, the value of x upon solving the equation is; -15/8.

Learn more about equation:

brainly.com/question/4344214

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8 0
2 years ago
Find the probability of each event. A class has five boys and nine girls. If the teacher randomly picks six students, what is th
kumpel [21]

Answer: \dfrac{60}{143}

Step-by-step explanation:

Given,  A class has five boys and nine girls.

Total students = 5+9=14

Number of ways to choose 6 students out of 14= ^{14}C_6  [Using combinations]

Number of ways to choose 4 girls out of 6 (4 girls + 2 boys = 6 ) = ^{9}C_4\times\ ^{5}C_2

If the teacher randomly picks six students, then the probability that he will pick exactly four girls:-

\dfrac{^{9}C_4\times \ ^{5}C_2}{^{14}C_6}

=\dfrac{\dfrac{9!}{4!5!}\times\dfrac{5!}{2!3!}}{\dfrac{14!}{6!8!}}\\\\=\dfrac{1260}{3003}\\\\=\dfrac{60}{143}

hence, the required probability = \dfrac{60}{143} .

4 0
3 years ago
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Answer:

Step-by-step explanation:

72

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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