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meriva
3 years ago
8

A lakeside hotel charges $12.50 per hour to rent a rowboat. The table shows the relationship between the number of hours, h, and

the total cost, c. With the information in the table, which expression can be used to find c?

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

D

Step-by-step explanation:

victus00 [196]3 years ago
5 0

Answer:

<u>The correct answer is D. 12.50h</u>

Step-by-step explanation:

1. Let's review all the information given for answering the question correctly:

Price per hour of renting a rowboat at the lakeside hotel = US$ 12.50

Number of hours = h

Total cost = c

2. With the information in the table, which expression can be used to find c?

c = 12.50 * h

If h = 2 ⇒ c = 25; if h = 3 ⇒ c = 37.50.....if h = 6 ⇒ c = 75.

<u>The correct answer is D. 12.50h</u>

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yKpoI14uk [10]

Answer:

1. Domain: (3, 5, 7, 8, 11)  

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)  

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)  

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)  

Range: (-7, -5, -4, 5, 9)

6 0
3 years ago
Add and Subtract Rational Expressions with a Common Denominator
Sladkaya [172]

Answer:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}

Operating on the numerators:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-(3q^2-q-6)}{q^2+6q+5}

Removing parentheses:

\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{4q^2-q+3-3q^2+q+6}{q^2+6q+5}

Simplifying:

\boxed{\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}}

The expression cannot be further simplified.

7 0
3 years ago
Shortest to longest in order<br><br> 1 mm, 1m, 1cm, 1 km
DanielleElmas [232]

Answer:

1mm, 1cm, 1m, 1km.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which number produces an irrational number when multipled by 1/4
BabaBlast [244]

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have \pi = 3.141592653 ...

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

6 0
3 years ago
In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

Conclusion:

Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

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