Explain the steps that are necessary to solve 4x - 2(x + 3) = x + 1

2 answers:

8 0

So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!

juin [17]3 years ago

4 0

First distribute
4x-2x-6=x+1
Then combine like terms
2x-6=x+1
Subtract one from both sides
2x-7=x
Subtract the 2x
-7=-x
Divide both side by negative 1
7=x

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A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per

Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile = 13 cents = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B - Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence, Company B charges $(15.5+0.12x) more for x miles than company A.

7 0

3 years ago

Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:

Darya [45]

The experimental probability of each event is as follows:

Landing open side up = 1/50 = 0.02 = 2%.
Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
Landing on its side = 44/50 = 0.88 = 88%.

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows: