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defon
3 years ago
7

X + 8 + 2x <= 2x + 13

Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

<em>x+8+2x-(2x+13)=0</em>

We add all the numbers together, and all the variables:

<em>3x-(2x+13)+8=0</em>

We get rid of parentheses:

<em>3x-2x-13+8=0</em>

We add all the numbers together, and all the variables:

<em>x-5=0</em>

We move all terms containing x to the left, all other terms to the right:

<em>x=5</em>

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3 years ago
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The cost of a car rental is ​$25 per day plus 22 per mile. You are on a daily budget of ​$90. Write and solve an inequality to f
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Answer: You can drive, at most, 2.95 miles per day.

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Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

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We can now replace that in the inequality:

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You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

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x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

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We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

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3 years ago
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3 years ago
How do u simplify this expression 8.9-1.4x+(-6.5x)+3.4?
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