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Tim sold half of his comics collection and then bought 16 more. If he now has 36, how many did he begin with?

STALIN [3.7K]

Tim began with 40 comics

Further explanation:

The equation involve linear equation as there is only one object i.e. comic books

So,

Let x be the number of comic books Tim began with

Then after selling half comics Tim will have x/2 comics remaining

Now when he buys 16 more the expression will be:

$\frac{x}{2}+16$

He has total 36 books, then

$\frac{x}{2}+16= 36$

Subtracting 16 from both sides

$\frac{x}{2}+16-16= 36-16$

${\frac{x}{2}}= 20\\$

Multiplying 2 on both sides

${\frac{x}{2}}* 2= 20*2\\x=40$

We can recheck, if he had 40, half of them will be 20 and adding 16 makes them 36.

Tim began with 40 comics

Keywords: Equation in one variable, linear equations

Learn more about linear equations at:

#LearnwithBrainly

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4 years ago

Write an equation of the line that goes through (-2,3) and is parallel to y=2/3x+6

Ksivusya [100]

Answer:

y= 2/3x+3

Step-by-step explanation:

to be parallel they must have the same slope (2/3)

use the ordered pair to get the y-intercept (3)

6 0

3 years ago

Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus

kiruha [24]

Answer:

(a)

$\begin{array}{ccc}{Industry} & {Frequency} & {\%Frequency} & {Bank} & {26} & {13\%} & {Cable} & {44} & {22\%} & {Car} & {42} & {21\%}& {Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} & {Total} & {200} & {100\%} \ \end{array}$

(b): Cell industry

(c) See Explanation

Step-by-step explanation:

Given (Missing from the question)

$Bank = 26$

$Cable = 44$

$Car = 42$

$Cell = 60$

$Collection = 28$

$Total = 200$

Solving (a) Show the frequency and percent frequency.

The percentage frequency is calculated by:

$\%Freq = \frac{Freq}{Total} * 100\%$

So. we have:

$\%Freq = \frac{26}{200} * 100\% = 13\%$ -- Bank

$\%Freq = \frac{44}{200} * 100\% = 22\%$ --- Cable

$\%Freq = \frac{42}{200} * 100\% = 21\%$ --- Car

$\%Freq = \frac{60}{200} * 100\% = 30\%$ --- Cell

$\%Freq = \frac{28}{200} * 100\% = 14\%$ --- Collection

The table becomes:

$\begin{array}{ccc}{Industry} & {Frequency} & {\%Frequency} & {Bank} & {26} & {13\%} & {Cable} & {44} & {22\%} & {Car} & {42} & {21\%}& {Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} & {Total} & {200} & {100\%} \ \end{array}$

Solving (b): The industry with the highest complaints

From the above table, the highest frequency is 60 and this represents the number of complaints of Cell industry.

Hence, the cell industry has the highest number of complaints

Solving (c): Comment

The percentage frequency table shows that the industry with the highest number of complaints is the cell industry (at 30%) and the industry with the least is the banking industry (at 13%)

5 0

3 years ago

There are 2 painters painting a room with 4 walls. Each painter paints an equal part of the room. How much of the room does each

QveST [7]

Answer:

um 2 walls

Step-by-step explanation:

it would be 4/2 which = 2

8 0

3 years ago

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Solve for x in the equation 6x=42

mr_godi [17]

Answer: x = 7

Step-by-step explanation: To solve for x in this equation, we need to get x by itself on the left sides of the equation. Since x is being multiplied by 6, to get x by itself, we need to divide by 6 on the left side of the equation.

If we divide by 6 on the left side,

we must also divide by 6 on the right side.

On the left side, the 6's cancel and we have x.

On the right, 42 divided by 6 is 7 so x = 7.

5 0

3 years ago

Read 2 more answers