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ICE Princess25 [194]
3 years ago
7

each marble bag sold by Lisas marbles company contains three red marbles for every four orange marbles if a bag has 24 red marbl

es how many orange marbles does it contain
Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

32 orange marbles.

Step-by-step explanation:

First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.

This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.

You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,

and 8 × 4 = 32.

It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.

So:

3/4 = 24/O

Red marbles / orange marbles = red marbles / orange marbles.

(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).

3O = 96

÷3 ÷3

O [orange marbles] = 32

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Answer:

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Step-by-step explanation:

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2 years ago
Read 2 more answers
A couple intends to have two children, and suppose that approximately 52% of births are male and 48% are female.
Pachacha [2.7K]

a) Probability of both being males is 27%

b) Probability of both being females is 23%

c) Probability of having exactly one male and one female is 50%

Step-by-step explanation:

a)

The probability that the birth is a male can be written as

p(m) = 0.52 (which corresponds to 52%)

While the probability that the birth is a female can be written as

p(f) = 0.48 (which corresponds to 48%)

Here we want to calculate the probability that over  2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male  does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:

p(mm)=p(m)\cdot p(m)

And substituting, we find

p(mm)=0.52\cdot 0.52 = 0.27

So, 27%.

b)

In this case, we want to find the probability that both children are female, so the probability

p(ff)

As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:

p(ff)=p(f)\cdot p(f)

And substituting

p(f)=0.48

We find:

p(ff)=0.48\cdot 0.48=0.23

Which means 23%.

c)

In this case, we want to find the probability they have exactly one male and exactly one female child. This is given by the sum of two probabilities:

- The probability that 1st child is a male and 2nd child is a female, namely p(mf)

- The probability that 1st child is a female and 2nd child is a male, namely p(fm)

So, this probability is

p(mf Ufm)=p(mf)+p(fm)

We have:

p(mf)=p(m)\cdot p(f)=0.52\cdot 0.48=0.25

p(fm)=p(f)\cdot p(m)=0.48\cdot 0.52=0.25

Therefore, this probability is

p(mfUfm)=0.25+0.25=0.50

So, 50%.

Learn more about probabilities:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

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If y varies directly as x, and y = 25 as x = 5, find y for the x-value 7.
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Y would equal 35 I believe.
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G(x)=6-4x find the value of x when g(x)=-2
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Answer:

g(x)=6-4x

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