Answer:
1
Step-by-step explanation:
V= 1/3^r²h
V= (^r²h) ÷ 3
Cross multiply
3V = ^r²h
Divide both side by the coefficient of r²
3V ÷ (^h) = r²
Find the root of both side
r = square root of 3V ÷ (^h)
Answer:
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"all positive integers less than or equal to 300"
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Hi -
What you want to do here is solve the equation by substitution.
To do that, you solve one of the equations for y. then plug that into the other equation so you have an equation with only x as the variable.
1) Solve either equation for y. Lets go with the first one:
4x+5y=102
Subtract 4x from each side:
5y=102-4x
Divide both sides by 5
y=(102-4x)/5
2) Plug this value for y into the other equation we started with:
7x+5y = 126
7x + 5((102-4x)/5) = 126
3) Solve the resulting equation for x.
Since we are multiplying and dividing (102-4x) by 5 the 2 5s cancel each other out
7x + 5((102-4x)/5) = 126
7x + 102 - 4x = 126
Combine the 2 x terms:
3x+102=126
subtract 102 from each side:
3x = 24
Divide both sides by 3:
x=8
Once we have a value for x, we can plug that number into either one of our starting equations to solve for y.
4x + 5y = 102; if x = 8
32+5y = 102
subtract 32 from each side:
5y = 70
Divide both sides by 5:
y = 14
So x = 8 and y = 14.
You can check your work by plugging these numbers both into your 2 initial equations.
4x+5y=102; 4*8+5*14 = 102
7x+5y=126; 7*8 +5*14 = 126
240.70 x 4 = 962.80
560 x 4 = 2240
28 x 4 = 116
962.80 + 2240 + 116 = 3314.80
This is the answer and that is how we get the answer