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pogonyaev
3 years ago
7

moby sold half his toy car collection, and then bought 12 more cars the next day. he now has 48 toy cars . how many cars did he

have to start with
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0

Answer:

18

Step-by-step explanation:

48-12 = 36

36/2

18

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A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are
PolarNik [594]
Now, the nickels and dimes are at ratio of 3:2.  However, the total amount is in dollars.  So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

3 dimes is just 30 pennies

2 nickels is just 10 pennies

so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio
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\cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\
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\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes
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\textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\
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42~dimes + 28~nickels\implies \$5.60
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3 years ago
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Number 1,3,5,6 please
Alenkasestr [34]

Answer:

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Step-by-step explanation:

5. n≥-2+5

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BRAINLIEST GIVEN FOR CORRECT ANSWER. ANSWER 28, 30, AND 32
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3 years ago
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 51% chan
Charra [1.4K]

Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

So

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917

0.3917 = 39.17% probability that she had found someone to help

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The answer would be 193
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