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3 years ago

How can you use two-step equations and inequalities to represent and solve real-world problems?

1 answer:

7 0

You can use two-step equations to represent and solve real-world problems by translating the words into an algebraic equation, solving the equation, and then interpreting the solution to the equation.

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Kiesha spent 120 minutes completing her homework last night. of those minutes, 1/6 were spent on spanish. how many minutes did k

Maslowich

Your Answer Is...

20 minutes.

Glad I Could Help, And Good Luck!

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3 years ago

Find the area of a regular pentagon with side equal to 3 and apothem equal to k. 1.5k 7.5k 12k

Anna007 [38]

Area=(5/2)*(3*k)=7.5k

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4 years ago

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Find the solution of the separable equations a) the general solution: displaystyle dy/dt = t/[y^2] b) the unique solution to: dy

Xelga [282]

Answer:

(a) The general solution of given differential equation is $\frac{y^3}{3}=\frac{t^2}{2}+C$ .

(b) The unique solution is $\frac{y^2}{2}=t-\frac{5}{2}$ .

Step-by-step explanation:

(a)

The given differential equation is

$\frac{dy}{dt}=\frac{t}{y^2}$

Use variable separable method, to solve the above differential equation.

Separate the variables.

$y^2dy=tdt$

Integrate both sides.

$\int y^2dy=\int tdt$

$\frac{y^3}{3}=\frac{t^2}{2}+C$

The general solution of given differential equation is $\frac{y^3}{3}=\frac{t^2}{2}+C$ .

(b)

The given differential equation is

$\frac{dy}{dt}=\frac{1}{y}$

Use variable separable method, to solve the above differential equation.

Separate the variables.

$ydy=1dt$

Integrate both sides.

$\int ydy=\int 1dt$

$\frac{y^2}{2}=t+C$ ... (1)

It is given that y=1 at t=3. Substitute y=1 and t=3 in the above equation.

$\frac{(1)^2}{2}=(3)+C$

$\frac{1}{2}-3=C$

$-\frac{5}{2}=C$

Substitute $C=-\frac{5}{2}$ in equation (1).

$\frac{y^2}{2}=t-\frac{5}{2}$

Therefore the unique solution is $\frac{y^2}{2}=t-\frac{5}{2}$ .

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4 years ago

If you want to know how many shirts and pairs of pants he bought, what matrix equation could you write to solve?

Nonamiya [84]

Answer:

Step-by-step explanation:

The equations are ...

... s + p = 15

... 3s + 10p = 94

Matrix equation A is equivalent.

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4 years ago

Please help me

GrogVix [38]

Answer:

19x+22

Step-by-step explanation:

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3 years ago

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