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2 years ago

the ratio of girls to boys in the sixth grade is 5:3. If there are 400 sixth graders, how many boys are there?

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b eq. 1

g + b = 400 eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250 = 750

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2 years ago

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3 years ago

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))

Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

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2. Divide both sides by 2:

2(x - 9) = -27

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2 years ago

Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil

Vanyuwa [196]

Answer:

$Probability = \frac{2}{35}$

Step-by-step explanation:

Given

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$M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}$

Then, multiples of 3 $M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}$

Next, is to list out the common elements in both

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$n(M_3\ n\ M_5) = 4$

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$Probability = \frac{n(M_3\ n\ M_5)}{Total}$

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3 years ago

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3 years ago