Question

sep - 24 weekly math
tuesday
simplify using your order of operations:
15÷(2² - (2 - 1)) - 12÷4

solve:
9 - x = - 47

solve:

• 16 = \frac{4}{3}x - 8

64
x20

solve the following:

• (6x + 6) + 2 = - 6x - 3

solve for the variable k.
\frac{m}{k}=x

is the following a rotation, reflection or translation?

△xyz at x(-6, 1), y(4, 0), z(1, 3) is translated left 9 and up 12. what are the new coordinates of the triangle?

Explanation:

1. Simplify \(15\div(2^{2}-(2 - 1))-12\div4\)

Step1: Solve innermost parentheses

First, calculate \(2 - 1=1\)

Step2: Solve exponent and remaining parentheses

Calculate \(2^{2}=4\), then \(4-1 = 3\)

Step3: Perform divisions

\(15\div3=5\) and \(12\div4 = 3\)

Step4: Subtract results of divisions

\(5-3=2\)

Step1: Isolate the variable term

Subtract 9 from both sides: \(-x=-47 - 9\)

Step2: Calculate the right - hand side

\(-47-9=-56\), so \(-x=-56\)

Step3: Solve for \(x\)

Multiply both sides by - 1, we get \(x = 56\)

Step1: Add 8 to both sides

\(-16 + 8=\frac{4}{3}x-8 + 8\), which simplifies to \(-8=\frac{4}{3}x\)

Step2: Solve for \(x\)

Multiply both sides by \(\frac{3}{4}\), \(x=-8\times\frac{3}{4}=-6\)

Answer:

\(2\)

2. Solve \(9 - x=-47\)