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nlexa [21]
3 years ago
6

Find two positive numbers if their ratio is 8:5 and the difference is 150.

Mathematics
1 answer:
natima [27]3 years ago
7 0
Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.






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Find the mean, median, and mode of the numbers: “10, 20, 15, 15, and 60”.
prisoha [69]

MEAN (add up all the numbers then divide by how many numbers there are. Aka the average)

10 + 20 + 15 + 15 + 60

120 ÷ 5 = 24

MEDIAN (the number in the middle)

15

MODE (most repeated number)

Also 15

3 0
3 years ago
Read 2 more answers
How to do step by step
Arte-miy333 [17]

Answer:

(5/7 - 1) * (2/3 + (1/6 - 1/9) * 18/5 + 1/15) - (2/7 + 1/3) * (-7/13)

= (5/7 - 7/7) * (2/3 + (3/18 - 2/18) * 18/5 + 1/15) - (6/21 + 7/21) * (-7/13)

= (-2/7) * (2/3 + 1/18 * 18/5 + 1/15) - 13/21 * (-7/13)

= (-2/7) * (2/3 + 1/5 + 1/15) + 7/21

= (-2/7) * (10/15 + 3/15 + 1/15) + 1/3

= (-2/7) * 14/15 + 1/3

= -4/15 + 1/3

= -4/15 + 5/15

= 1/15

3 0
3 years ago
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The average weight of a mature human brain is approximately 1400 grams. What is the equivalent weight in pounds? Use the convers
stiks02 [169]
The answer is b... 1400= 3.08
5 0
3 years ago
1. 3x + y = 11<br> 5x - y = 21
sergeinik [125]

Answer:

[4, -1]

Step-by-step explanation:

Using the Elimination Method:

3x + y = 11

5x - y = 21

__________

8x = 32

__ ___

8 8

x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y

The <em>y</em>'s are already <em>additive</em><em> </em><em>inverses</em><em> </em>[result in 0], canceling each other out.

I am joyous to assist you anytime.

4 0
3 years ago
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?​
valentinak56 [21]

Answer:

Step-by-step explanation:

density is mass divided by volume, so 25g divided by 10 cm = 2.5 g

4 0
3 years ago
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