Question

1. solve $17 - \frac{1}{6}x = 23$.

a. 36
b. 6
c. $-6$
d. $-36$

1. noor uses building blocks of equal height to make a tower. each block is 9.6 mm in height. each layer of her tower is 3 blocks long and 3 blocks wide. the towers height is 249.6 mm.

part a
write a reasonable estimate for the number of blocks in noors tower.
the tower has approximately ______ blocks.

part b
what is the exact number of blocks noor uses to make her tower?
noor uses exactly ______ blocks.

Explanation:

Problem 1

Step1: Subtract 17 from both sides

$17 - \frac{1}{6}x - 17 = 23 - 17$
$-\frac{1}{6}x = 6$

Step2: Multiply by -6 on both sides

$-\frac{1}{6}x \times (-6) = 6 \times (-6)$

Step1: Estimate number of layers

Round $9.6$ mm to $10$ mm, $249.6$ mm to $250$ mm.
$\text{Estimated layers} = \frac{250}{10} = 25$

Step2: Calculate blocks per layer

$\text{Blocks per layer} = 3 \times 3 = 9$

Step3: Estimate total blocks

$\text{Estimated total} = 25 \times 9 = 225$

Step1: Calculate exact number of layers

$\text{Exact layers} = \frac{249.6}{9.6} = 26$

Step2: Calculate blocks per layer

$\text{Blocks per layer} = 3 \times 3 = 9$

Step3: Calculate exact total blocks

$\text{Exact total} = 26 \times 9 = 234$

Answer:

D. -36

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Problem 2 Part A