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Pie
2 years ago
12

One number is four more than five times another. If their sum is increased by one, the result is thirty-five. Find

Mathematics
2 answers:
Zepler [3.9K]2 years ago
6 0

Answer:

29 and 5

Step-by-step explanation:

<u>Given system of equations</u>

\left \{ {{x=4+5y} \atop {x+y+1=35}} \right.

<u>Substitute top equation into bottom equation to determine y</u>

<u />x+y+1=35\\\\(4+5y)+y+1=35\\\\4+5y+y+1=35\\\\5+6y=35\\\\6y=30\\\\y=5

<u>Substitute y=5 into top equation to determine the x-value</u>

<u />x=4+5y\\\\x=4+5(5)\\\\x=4+25\\\\x=29

Therefore, the two numbers are 29 and 5

Veseljchak [2.6K]2 years ago
3 0

Answer:

x=4+5yif sum is increased by 3 (x+y+3), result is 31x+y+3=31minus 3 both sidesx+y=28x=4+5y subsiutute4+5y+y=284+6y=28minus 4 both sides6y=24divide by 6y=4sub backx=4+5yx=4+5(4)x=4+20x=24the numbers are 24 and 4

Step-by-step explanation:

If I helped you


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Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 7.3 ft. Round your answer to t
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Answer:

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Step-by-step explanation:

Data

Volume = x

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radius = 7.3 ft

Formula

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Process

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