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alexdok [17]
3 years ago
6

Given m || n, find the value of x and y. m(7x+13) n(3y-17) (9x-19)

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Answer:

9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y =  \frac{72}{3}  = 24

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Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
3 years ago
does the assumption of a poisson distribution with a mean of 6.0 seem appropriate as a probability model for these data? use 0.0
Alenkasestr [34]

The Poisson distribution with a mean of 6.0 is an appropriate model.

<h3>What is mean?</h3>
  • In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.
  • It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."
  • There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
  • Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.

Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.

learn more about mean click here:

brainly.com/question/1136789

#SPJ4

6 0
1 year ago
What is the value of x in the following equation?<br><br> 5x−13=15+7x
Alex787 [66]
5x-13=15+7x
-13=15+2x
-28=2x
-14=x
7 0
2 years ago
If you have 63 books and you donate 1/3 of you’re books how many will you have left
ryzh [129]

Answer: 42

Step-by-step explanation: you would do 63 divided by 3 then you would get 21 and do 21×2 and get 42

6 0
3 years ago
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?​
Taya2010 [7]

Answer:

7/17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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