Mathematics: What common error(s) did this student make? What is the correct solution for x? Please help

What common error(s) did this student make? What

Ответ:

Tianylee2328

31.01.2022

Mathematics

10x - 5(x - 1) = 20

10x - 5x + 5 = 20

5x + 5 = 20

5x = 20 - 5

5x = 15

x = 15/5

x = 3

Step-by-step explanation:

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Ответ:

kay4451

31.01.2022

Mathematics

x = 3

Step-by-step explanation:

The first error was in the 2nd line: -5(x - 1) is -5x + 5, not -5x - 5 = 20.

Continuing the solution:

10x - 5x + 5 = 20

Combining like terms, we get

5x = 15, and so x = 3

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Ответ:

reginaldlegette

03.03.2023

Mathematics

1:64

Step-by-step explanation:

The complete question is

On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?

we know that

To find out the scale divide the length of the building on a set of blueprints by the actual length of the building

$16\ in: 85\frac{1}{3}\ ft$

Convert mixed number to an improper fraction

$85\frac{1}{3}\ ft=\frac{85*3+1}{3}=\frac{256}{3}\ ft$

substitute in the expression above

$16\ in: \frac{256}{3}\ ft=\frac{16*3}{256}=\frac{48}{256}\ \frac{in}{ft}$

Simplify

$\frac{3}{16}\ \frac{in}{ft}$

That means ----> 3 inches on the blueprint represent 16 feet in the actual

Remember that

$1\ ft=12\ in$

Convert ft to inches

$\frac{3}{16}\ \frac{in}{ft}=\frac{3}{16*12}=\frac{3}{192}=\frac{1}{64}\ \frac{in}{in}=\frac{1}{64}$

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What common error(s) did this student make? What is the correct solution for x? Please help

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