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user100 [1]
3 years ago
8

Write 3.7777... As a mixed number

Mathematics
2 answers:
pochemuha3 years ago
5 0

Answer:

3\frac{7}{9}

Step-by-step explanation:

3.777...=3+0.777...

0.777...=x\\7.777...=10x

10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}

The answer is 3\frac{7}{9}

hichkok12 [17]3 years ago
3 0

Answer:

3  7777/10000

Step-by-step explanation:

You might be interested in
-3 5/6 make it a decimal
Gala2k [10]

Answer:

-3.56 i think .

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
(d) If mZABD=60°, and point C is in the interior of ABD, then mZABC=40° and m/CBD=20°. Counterexample: m ZABC = [], m2 CBD = "
DENIUS [597]

The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.

Point C is the interior of ABD.

The measure of angle ABD is 60°.

The measure of angle ABC is 40°.

The measure of angle CBD is 20°.

Now when we add the angle ABC and CBD:

∠ ABC + ∠ CBD = 40° + 20°

∠ ABC + ∠ CBD = 60°

∠ ABC + ∠ CBD = ∠ ABD

The counter-example will be:

∠ ABD = ∠ ABC + ∠ CBD

60° = 35° + 25°

Therefore,

∠ ABC = 35° and ∠ CBD = 25°

Learn more about angle here:

brainly.com/question/22323626

#SPJ9

5 0
1 year ago
<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5
Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
3 years ago
A student repeats the process of taking blocks out of a bag and replacing them 100 times. A green block is drawn 67 times. What
Alexeev081 [22]

Using it's concept, it is found that a good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, to get a good estimate, we get the probability taking the outcomes from the sample, that is, 67 green blocks out of 100 blocks, hence:

p = 67/100 = 0.67.

A good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

More can be learned about probabilities at brainly.com/question/14398287

5 0
2 years ago
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
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