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3 years ago

What is 1/5 × -3/2 +4/5 × -2/7 × -1/6 × -2/7

Mathematics

2 answers:

velikii [3]3 years ago

4 0

Answer:

$\frac{-457}{1470}$

Step-by-step explanation:

$\frac{1}{5} \times \frac{-3}{2} + \frac{4}{5} \times \frac{-2}{7} \times \frac{-1}{6} \times \frac{-2}{7}$

$(\frac{1}{5} \times \frac{-3}{2}) + (\frac{4}{5} \times \frac{-2}{7} \times \frac{-1}{6} \times \frac{-2}{7})$

$\frac{-3}{10} +\frac{-16}{1470}$

$=\frac{-457}{1470}$

netineya [11]3 years ago

4 0

Answer: 4/1225

Step-by-step explanation:

1/5 × -3/2 +4/5 × -2/7 × -1/6 × -2/7

Multiplying an even number of negative terms makes the product positive:

= 1/5 * 4/5 * 1/7 * 1/2 * 1/7

= 1/5 * 4/5 * 1/7 * 1/7

= 4/1225

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In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric

Lelu [443]

Answer:

$y(x) = 29.99 + 1.86x$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

$y(x) = y(0) + ax$

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that $y(0) = 29.99$

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

$y(16) = 59.75$

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

$y(x) = y(0) + ax$

Applying y(16).

$59.75 = 29.99 + 16a$

$16a = 29.76$

$a = \frac{29.76}{16}$

$a = 1.86$

$y(x) = 29.99 + 1.86x$

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

$y(x) = 29.99 + 1.86x$

$y(20) = 29.99 + 1.86*20 = 67.19$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0

3 years ago

A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.

aalyn [17]

First we need to convert our fractions into decimals, it's just a lot easier to work with.
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 $\frac{1}{2}$