What does the digit 7 represent in 170,280?

4.2 = c/-8.5 + 10.7 A. 55.25 B. -126.65 C. -55.25 D. 126.65

Zolol [24]

Answer: Number C

Step-by-step explanation:

Solve

1

Find common denominator

4

.

2

=

−

8

.

5

+

1

0

.

7

4.2=\frac{c}{-8.5}+10.7

4.2=−8.5c+10.7

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c+−17−17⋅10.7

2

Combine fractions with common denominator

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c+−17−17⋅10.7

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c-17 \cdot 10.7}{-17}

4.2=−172c−17⋅10.7

3

Multiply the numbers

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}

4.2=−172c−17⋅10.7

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}

4.2=−172c−181.9

4

Multiply all terms by the same value to eliminate fraction denominators

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c-181.9}{-17}

4.2=−172c−181.9

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9

5

Cancel multiplied terms that are in the denominator

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

-17 \cdot 4.2=2c-181.9

−17⋅4.2=2c−181.9

6

Multiply the numbers

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9

−17⋅4.2=2c−181.9

−

7

1

.

4

=

2

−

1

8

1

.

9

{\color{#c92786}{-71.4}}=2c-181.9

−71.4=2c−181.9

7

Add

1

8

1

.

9

181.9

to both sides of the equation

−

7

1

.

4

=

2

−

1

8

1

.

9

-71.4=2c-181.9

−71.4=2c−181.9

−

7

1

.

4

+

1

8

1

.

9

=

2

−

1

8

1

.

9

+

1

8

1

.

9

-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}

−71.4+181.9=2c−181.9+181.9

8

Simplify

Add the numbers

1

0

.

5

=

2

110.5=2c

9

Divide both sides of the equation by the same term

1

0

.

5

=

2

110.5=2c

1

0

.

5

2

=

2

\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}

2110.5=22c

10

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

=

55.25

4 0

3 years ago

Read 2 more answers

A.The Murray family has produced 8 children.

Vlad [161]

Answer:

A. 0.2734 = 27.34% probability that there are an equal number of boys and girls

B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

Step-by-step explanation:

In each of these questions, the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A.The Murray family has produced 8 children.

What is the probability that there are an equal number of boys and girls?

8 children means that $n = 8$

Each children is equally as likely to be a boy or a girl, which means that $p = 0.5$

This probability is P(X = 4). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734$

0.2734 = 27.34% probability that there are an equal number of boys and girls

B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?

80% accurracy rate means that $p = 0.8$

7 questions means that $n = 7$

The probability is P(X = 5). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753$

0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly

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Tatiana [17]

The derivative of the function csc (5x) can be determined by following the trigonometric rule of differentiation. In this case, the derivative of csc x is -csc x cot x while that of 5x is 5. The total derivative and the answer to the problem asking for the is derivative of csc(5x) is -5 csc 5x cot 5x.

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Last week, Brianna earned $565.75, which included a $100 bonus. She makes $11.50 an hour. With x representing the number of hour

liberstina [14]

11.5x+100=565.75
So your wage is 11.50 per hour which is represented by x.

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Answer:

No solution is possible from the informatin provided.

Step-by-step explanation:

You didn't include the table,

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