Answer:

Step-by-step explanation:
Answer:
a) The correct option is C: 4x
b) The correct option is B: 2x
Step-by-step explanation:
a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.
So instead of writing:
4×x
We can write:
4x
And this will be equivalent.
Then in this case the correct option is C.
b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.
Then if we have the sum of A, for example, 4 times, we have:
A + A + A + A
And this can be written as 4*A
In this case, we have the expression x + x.
So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.
Then the correct option is option B.
|13-6| < x < |13+6|
So the range will be:
7 < x < 19
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:

Now, all we have to do is <u>isolate</u> the variable to find x:

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
Javier can buy <em>at maximum</em> about 3.7 gallons of oil.
Step-by-step explanation:
Let g represent the amount of gasoline in galloons.
We know that Javier has at most $15.00 to spend. In other words, the total cost after buying the snacks and gasoline must be <em>less than or equal to </em>15.
He already bought a snack and a drink for a total of $2.59.
And each gallon of gasoline costs $3.39.
So, we can write the following inequality:

To find how many galloons of gasoline Javier can buy, we will need to solve for g.
So, subtract 2.59 from both sides. This yields:

Divide both sides by 3.39:

So, Javier can buy <em>at maximum</em> about 3.7 gallons of oil.
And we're done!