How do I do the substitution method?

Mathematics

2 answers:

Lina20 [59]2 years ago

5 0

Step-by-step explanation:

1: Solve one Equation for one of the variables

2: Substitute (plug-in) this expression into the other equation and solve

3: Resubtitue the value into the original equation to find the corresponding variable

alekssr [168]2 years ago

4 0

Answer:

1. Solve one equation for one of the variables.

2. Substitute (plug-in) this expression into the other equation and solve.

3. Resubstitute the value into the original equation to find the corresponding variable.

Now at first glance, this may seem complicated, but it'll get easier along the way. <3

Done by NeighborhoodDealer

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at an amusement park a person spends $30 on admission and food and then goes on r number of rides that cost $2 each

stepladder [879]

The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.

Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r

Total spend, s(r): 30 + 2r

Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation

Standard form: s(r) is the dependent variable = s

s = 30 + 2r => s - 2r = 30 =>

s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form

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Find the volume of a sphere with surface area equal to 100π ft^2

Anni [7]

Answer:

$V=\frac{500}{3}\ \pi(ft^{3})$

Step-by-step explanation:

Hello.

to find the volume of a sphere we must know its radius,

we don't know the radius but we have the area

$A=4\pi r^{2} \\ \\isolating\ r\\\\A=4\pi r^{2}\\r=\sqrt{\frac{A}{4\pi } } \\r=\sqrt{\frac{100\ ft^{2} }{4\pi}} \\\\ r= \sqrt{25\ ft^{2} }\\ r=5\ ft\\$