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2 years ago

Simplify, using the distributive property. 5f + 16f = (5 +?)f=?f

Mathematics

1 answer:

Soloha48 [4]2 years ago

8 0

Applying the distributive property, we would simplify the expression as: 5f + 16f = (5 + 16)f = 21f.

<h3>How to Apply the Distributive Property?</h3>

The distributive property states that, ab + ac = (b + c)a.

Using the distributive property, we have:

5f + 16f

= (5 + 16)f

= 21f

Therefore, 5f + 16f is simplified as 21f.

Learn more about the distributive property on:

brainly.com/question/2807928

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Question 11 (Multiple Choice Worth 1 points

Diano4ka-milaya [45]

Answer:

$3\frac{4}{33}=3.\bar1\bar2$

Step-by-step explanation:

Given:

Simplify The given choice.

$3\frac{4}{33}=\frac{33\times 3 +4}{33}=\frac{99+4}{33}=\frac{103}{33}=3.1212121=3.\bar1\bar2$

$3\frac{8}{33}=\frac{33\times 3 +8}{33}=\frac{99+8}{33}=\frac{107}{33}=3.242424=3.\bar2\bar4$

$3\frac{10}{39}=\frac{39\times 3 +10}{39}=\frac{117+10}{39}=\frac{127}{39}=3.2564$

$3\frac{5}{39}=\frac{39\times 3 +5}{39}=\frac{117+5}{39}=\frac{122}{39}=3.12820$

Therefore, the first option $3\frac{4}{33}$ is correct.

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4 years ago

100k for 10% evaluation

lesya692 [45]

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4 years ago

What is the greatest common factor of 4k, 18k^4 and 12

vekshin1

Greatest Common Factor: 2

6 0

3 years ago

Read 2 more answers

Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35. The probability that a random vehi

Vlad [161]

Answer:

0.9 = 90%

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35.

This means that $a = 25, b = 35$

The probability that a random vehicle gets between 25 and 34 miles per gallon is:

$P(25 \leq X \leq 34) = \frac{34 - 25}{35 - 25} = 0.9$

So the answer is 0.9 = 90%

4 0

3 years ago

If S is a compact subset of R and T is a closed subset of S, then T is compact. Prove this using the definition of compactness.

wlad13 [49]

Answer:

It has been proved that T is compact

Step-by-step explanation:

To prove this using the definition of compactness, let's assume that T is

not compact. Now, if that be the case, an open cover of T will exist. Let's call this open cover "A". Now, this open cover will have no finite subcover.

Now, from the question, since T is closed, it’s complement R\T will be open.

Therefore, if we add the set R\T to the collection of sets A, then we'll have an open cover of R and also of S.

Due to the fact that S is compact, this

cover will have a finite sub - cover which we will call B.

Finally, either B itself or B\{R\T} would be a finite sub - cover of A. This is a contradiction.

Thus, it proves that T has to be compact if S is to be a compact subset of R and T is to be a closed subset of S.

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3 years ago