Find the solution for this system of equations.

1 answer:

4 0

A) 12x + 15y = 34

B) -6x + 5y = 3 Multiplying B) by -3

B) 18x -15y = -9 Then adding this to A) equals
30x = 25
x = 0.8333333333...

A) 12x + 15y = 34

12 * 0.8333333333... + 15y = 34

10 + 15y = 34
15y = 24
y = 1.6

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The school marching band has a budget of up to $750 to cover 15 new uniforms and

PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a. Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b. Solve the inequality and describe what it means in the situation.

$15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450$

Dividing both sides by 15

$\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30$

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

#LearnwithBrainly

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3 years ago

What is the derivative of the function below?

11111nata11111 [884]

$g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}$