Hello!
To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.
Say the length of the rectangle is l, and the width is w.
<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.
<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48
Now, set up the system of equations.
Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.
2l + 2w = 48
2 (2w + 9) + 2w = 48
4w + 18 + 2w = 48
6w = 30
w = 5
We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.
2w + 9 = l
2 (5) + 9 = l
10 + 9 = l
19 = l
Therefore, we now have our dimensions. The length of the rectangle is 19 inches, and the width is 5.
Hope this helps!
Is the same as seven less than a number(x) : x-7
now in your case what would be the answer ?
The equation relating the number of cars to the number of passengers is p = 4n
<em><u>Solution:</u></em>
Given that certain type of car has room for 4 passengers
To find: write an equation relating the number of cars to the number of passengers
Let "n" be the number of cars
Let "p" be the number of passengers
From given information,
Car has room for 4 passengers. Therefore, we can frame,
number of passengers = 4 ( number of cars )
p = 4 (n)
p = 4n
Thus the equation relating the number of cars to the number of passengers is p = 4n
Julia has determined that CE is perpendicular bisector of AB. The next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
<h3>What is the Perpendicular Bisector Theorem?</h3>
The perpendicular bisector theorem states that if a point is located on a segment (perpendicular bisector) that divides another segment into two halves, then it is equidistant from the two endpoints of the segment that is divided.
Thus, since Julia has determined that CE is perpendicular bisector of AB, therefore the next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
Learn more about the perpendicular bisector theorem on:
brainly.com/question/2035717
We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.
<h3>
How much costs to fill the tank?</h3>
a) The car holds 18 gallons, and it has 1/5 of the tank remaining.
Then in the tank there are:
(1/5)*18 = 3.6 gallons.
Then we need 18 gal - 3.6 gal = 14.4 gal
And each gallon costs $2.70, then to fill the tank, Miss Kito needs:
(14.4)*$2.70 = $38.88
b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.
Then she needs:
To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.
If you want to learn more about algebra, you can read:
brainly.com/question/4344214
