Answer:
21
Step-by-step explanation:
I wil call the length l and the width w in the following. We are given these informations:
The area of the rectangle is 105. That means l * w = 105. (1)
The length is 16 inches longer that the width. That means l = w + 16. (2)
If we plug the information we get from (2) into the equation (1), we get:
(w + 16) * w = 105
Simplify and you get
w² + 16 w - 105 = 0
With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).
If we now plug w = 5 back into our infromation (2), we get:
l = 5 + 16 = 21
(To confirm the result plug w = 5 and l = 21 into (1))
Since you can only obtain exactly $10 if you have an even amount of quarters you will need to plot 2x + y. With 'x' being the quarters and 'y' being the dimes.
45÷5 is 9 so that means joe has only 9 marbles
The answer should be 1.425.
Once you subtract 0.3 from 6 it leaves you with 5.7
then do 5.7 divided by 4 and you would get 1.425
Let’s keep in mind that gas is $2.76 a gallon.
2 friends each pay 1/4 of a gallon. 1/4 times 2 is 1/2. This means for a full tank (15 gallons) your only paying for half.
What is half of 15 gallons? Divide 15 by 2. That should give you 7.5 gallons. You are only paying for 7.5 gallons of gas.
You are paying for a full tank every month, according to the beginning of this paragraph. But don’t worry, your coworkers gotcha covered. You only have to pay for 7.5 gallons.
So if a gallon of gas costs us $2.76, how much will 7.5 gallons cost us?
Let’s multiply the cost of 1 gallon with the number of gallons we want (7.5).
$2.76 times 7.5 will give us $20.70.
This is how much money you have to pay. Now let’s find out how much your saving off your coworkers.
They are paying for the same amount you are, since it’s half the gas. So they are also paying $20.70.
That means you’re saving half the money for a full tank.
You’re saving $20.70.
Hope it helps <3
