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posledela
3 years ago
11

A recipe calls for 3/4 cup of sugar for every 1/2 teaspoon of cinnamon. What is the unit rate in teaspoons of cinnamon per cup o

f sugar?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

\frac{2}{3} teaspoons of cinnamon per cup of sugar.

Step-by-step explanation:

A recipe calls for \frac{3}{4} cups of sugar for every \frac{1}{2} teaspoons of cinnamon.

For one cup of sugar;

1 × \frac{1}{2} ÷ \frac{3}{4} = \frac{1}{2} × \frac{4}{3} = \frac{2}{3} teaspoons of cinnamon will be needed.

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A certain slot machine has three identical independent wheels, each with 13 symbols as follows: 1 bar, 2 lemons, 2 bells, 2 plum
kari74 [83]

Answer:

Step-by-step explanation:

Given

there are 13 symbols in slot machines i.e. 1 bar , 2 lemons , 2 bells ,2 plums ,3 cherries , 3 oranges

there are Total of 3 machines

Probability of getting bar in machine is \frac{1}{13}

Probability of getting 3 bar on 3 machine=\frac{1}{13} \times\frac{1}{13}\times \frac{1}{13}=\frac{1}{2197}=0.0004

Probability of getting an orange=\frac{3}{13}

Probability of getting 3 oranges  on 3 machine=\frac{3}{13} \times\frac{3}{13}\times \frac{3}{13}=\frac{27}{2197}=0.0122

Probability of getting a Plum=\frac{2}{13}

Probability of getting 3 Plums  on 3 machine=\frac{2}{13} \times\frac{2}{13}\times \frac{2}{13}=\frac{8}{2197}=0.0036

5 0
3 years ago
Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
3 years ago
Turn the following decimals into a Hours, minutes, seconds format.
Dvinal [7]

Answer:

It is 2 hours, 22 minutes, 48 seconds.

The 2 is obviously 2 hours. For the minutes, .38 * 60 = 22.8, so the minutes is 22. 0.8 * 60 = 48. So 2 hours, 22 minutes and 48 seconds.

5 0
3 years ago
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
A triangle has 2 sides that equal 6 inches. The other side equals 4 inches. What kind of triangle is this
Tom [10]
Ισοσκελες τρίγωνο
....
7 0
3 years ago
Read 2 more answers
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