3 years ago

What is -3 and 3/8 as a mixed number?

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

Step-by-step explanation:

Multiply -3 and the denominator which was 8 and add the numerator which was 3 whatever the number is put it over the denominator. Your answer should be -27 over 8

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There are 56 m&ms in a bag. They are all red or blue with a ratio of 3:4. How many blue m&ms are there?

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Answer:

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

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Nancy has 100 candy bars. She ate 47 of them in one day. Then she gave 12 of them to her friend David . How much does she have n

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Answer:

41 Candy Bars

Step-by-step explanation:

She first has 100 candy bars. If she ate 47, she will have 53. If she gives away 12 after, she would have 41.

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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3 years ago

Which of the following has a unit price (price per item) of $0.25? Choose 2. *

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Answer:

8 pieces/$2.00

6 pieces/$1.50

Step-by-step explanation:

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The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?

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Answer:

1.25

Step-by-step explanation:

10/4=2.5

2.5*0.5

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