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Bogdan [553]
3 years ago
5

Hassan is thinking of a fraction. It is bigger than 2/5 and smaller than 2/3. When he divides the numerator by the denominator,

he gets an answer of 0.533. What fraction is Hassan thinking of?
Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

8/15

Step-by-step explanation:

To start off you want both of the fractions to have the same denominator so you will change 2/5 into 6/15 and 2/3 into 10/15.

Than you figure out a number in between being 7, 8, or 9 and divide it by fifteen. Which ever one equals 0.533. (Which in this case is 8) is the numerator to the fraction.

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3 years ago
James invested $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. James invests $500 at th
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Answer: $40

Step-by-step explanation:

The key formula to use for this problem is the simple interest formula, which is I=prt ; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.

Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:  r=I/pt. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: r=\frac{24}{300*1}=0.08

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of I=prt

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4 0
3 years ago
Hal and Renee play the following game a bag has 11 tiles in it each with a letter from the word probably in it Hal and Renee tak
Masteriza [31]

Answer:

  • <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>

Explanation:

The word is not probably, which has 8 letters, but probability, which has 11 letters

<u>1. Hal</u>

Probability of drawing a vowel

  • The vowels are:  o, a, i, i, and y: 5

  • The total number of letters in the bag is 11.

  • Probability of vowel = 5 / 11

<u>2. Renee</u>

Probability of drawing a consonant

  • The consonants are: p, r, b, b, l, t, and y: 7

  • Probability of a drawing a consonant: 7 /11

<h2>Conclusion</h2>

As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,

  • The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.

8 0
4 years ago
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