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3 years ago

If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

Mathematics

2 answers:

sveticcg [70]3 years ago

6 0

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

Varvara68 [4.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

128 marbles

First you divide 48 by 3 and u get 16. Then u multiply 16 by 8.

To prove just simplify

3/8=48/128

3/8=3/8

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Sindrei [870]

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6 Faces, 8 vertices and 12 edges in total.

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3 Faces, 7 vertices and 7 edges are visible.

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3 years ago

scores on a test have a mean of 67 and a standard devation of 10. michelle has a score of 87. convert michelle score to a z-scor

klasskru [66]

Answer:

z-score = 2.

Step-by-step explanation:

The z-score = (x - m) / d where x =the person's score, m = the mean and d = the standard deviation.

So we have (87-67)/10

= 2.

6 0

2 years ago

Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?

Murrr4er [49]

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3) Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂) <--- Point-slope formula

(3 - 4) = m(1 - 2) <--- Plug in "x" and "y" values from points

-1 = -m <--- Simplify inside parentheses

1 = m <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3) m = 1

y = mx + b <--- Slope-intercept formula

3 = 1(1) + b <--- Plug in values from point and slope (m)

3 = 1 + b <--- Multiply slope and "x" value

2 = b <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0

1 year ago

P(Girl Sophomore) : =[?]

marusya05 [52]

Probability helps us to know the chances of an event occurring. The probability being a Sophomore given she is a girl is 1/3.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

The probability of being a girl and Sophomore is 9/37. While the probability of being a girl is 27/37. Therefore, the probability being a Sophomore given she is a girl is,

P(Girl l Sophomores) = P(Girl and Sophomore)/ P(Girl)

= (9/37) / (27/37)

= 9 / 27

= 1/3

Hence, the probability being a Sophomore given she is a girl is 1/3.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

3 0

1 year ago

Read 2 more answers

Please help me. I will mark as brainliest give correct answer.

Andrew [12]

I answered other one

5 0

2 years ago