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Mandarinka [93]
2 years ago
8

If m and n can be any integers such that n<4 and 4m - 3n < 20, which of following is the solution set for m?A m <7.25B

m 50C. m < 8D. m 2 7.25m 20
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
3 0

If we multiply the inequality n<4 by 3 we get the following:

(n

Now, on the next inequality we have the following:

\begin{gathered} 4m-3n

By transitive property, we have:

\begin{gathered} 3n

therefore, the solution set for m is m<8

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Suppose the relationship between x and y is proportional. When x is​ 29, y is 275.5. Find the constant of proportionality of y t
belka [17]

Step-by-step explanation:

y and x are proportional:

y = kx

When x is 29, y is 275.5.

275.5 = 29k

k = 9.5

y = 9.5x.  When y is 408.5:

408.5 = 9.5x

x = 43

A relationship that can be modeled as a line that passes through the origin (y = kx) is a proportional relationship.

5 0
3 years ago
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The manager of music is giving away 255 music downloads at its grand opening event.
Andreas93 [3]

30 people will receive 1 music download each.

<u>Solution: </u>

Given, the manager of music is giving away 255 music downloads at its grand opening event.

The manger gave the greatest possible number of music downloads to each of the first 75 customers,

Now, suppose, manager gave 4 downloads each for first 75 customers.

Then, total downloads = 75 x 4 = 300 downloads, which is greater than 255, so giving 4 to 1st 75 is not possible.

Now, suppose, he gave 3 to each customer, then total downloads = 75 x 3 = 225, it is possible

So, manager will give 3 downloads each to 1st 75 customers.  

Then remaining downloads = 255 – 225 = 30 downloads, then 30 people can use them.

Hence, 30 people will receive 1 music download each.  

7 0
3 years ago
Pheonix ran 4.5 miles per hour for three fourths of an hour. How did Aliyah run today?
topjm [15]

Answer:

3.375 miles

Step-by-step explanation:

3/4 can be changes to 0.75. SO multiply 4.5 times 0.75 to get your answer

8 0
3 years ago
How do you do you solve this question?
Degger [83]

Answer:

5i

Step-by-step explanation:

-25 can be written as 25 x -1

so root -25 is equal to root 25 x -1

root -1 can also be written as i

so root -25 is root 25 multiplied by i

simplifiying this to 5i


6 0
4 years ago
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How do you use a number line to solve 235+123
Novosadov [1.4K]
<span>Number line refers to a mathematical process of solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally count another 123.
Then from zero start counting the total number to the line you stopped when adding 123 to 235.

This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here

6 0
4 years ago
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