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NeTakaya
3 years ago
15

Eugene wrote a riddle: A positive number is 5 less than another positive number. Six times the lesser number minus 3 times the g

reater number is 3. Find the two positive numbers.
Mathematics
1 answer:
a_sh-v [17]3 years ago
8 0
N-5=m
6m-3n=3
6(n-5)-3n=3
6n-30-3n=3
3n=33
n=11
m=6
just use substitution to plug in m in terms of n and solve
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The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
matrenka [14]

Answer:

5

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

= 24

sum of numbers without the two 2s

= 24 - 2(2)

= 20

average of other 4 numbers

= 20 ÷ 4

= 5

6 0
3 years ago
Solve the system 2x-2y=10 4x-5y=17
stiv31 [10]
Multiply 2x-2y=10 by 2,
4x-4y=20,
given:4x-5y=17
y=3
pluck it in
2x-6=10
move the 6 to the right
2x=16
divide
x=8
y=3
8 0
3 years ago
Read 2 more answers
Please help due today
sweet-ann [11.9K]

Answer:

It is a function

Step-by-step explanation:

This isn't really a step by step explanation but I'm going to explain this simply. An output can have as many inputs possible but an input can only have ONE OUTPUT(just putting emphasis on this one output, I'm not yelling). Example, the input "2" can be equal to the output of "4" depending on the equation the fuction, however, the input of "2" CAN NOT be equal to the outputs of "4" and "6" because as my Algebra teacher explained it "for every input, there is exactly one output". I hope this helps and I hope I didn't lose you in my explaination.

4 0
2 years ago
What is the prime factorization of 36
artcher [175]

Answer:

2^{2} x 3^{2}

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A ship travels due west for 90 miles and turns to travel 80 miles in the northwest direction at a 120 degree angle. How far is t
adoni [48]
We breakdown the components of the distances.
(1) 90 miles west.
                          x - component = -90 miles
                          y - component = 0 miles
(2) 80 miles, northwest (120°)
                          x - component = (80 miles)*(sin 30°) = 40 miles (negative)
                          y - component =(80 miles)*(cos 30°) = 69.282 miles (positive)

Solve for the distance,
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6 0
3 years ago
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