Answer:
Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?Step-by-step explanation:
Let's assume
x represent the number of trips that the larger truck makes
so, we are given
If the smaller truck makes 18 more trips than the larger
so,
number of trips for larger truck =x
number of trips for smaller truck =x+18
The capacities of two trucks are 3 tons and 4 tons respectively
so, capacity of smaller truck per trip =3 tons / trip
total ton carried by smaller truck = (number of trips for smaller truck)*(capacity of smaller truck per trip)
now, we can plug values
total ton carried by smaller truck =3*(x+18)
total ton carried by larger truck = (number of trips for larger truck)*(capacity of larger truck per trip)
total ton carried by larger truck =4x
it can deliver 12 more tons of freight than the larger
so, we get
we can move 4x on left side
we get
...............Answer
Answer:
415.47
Step-by-step explanation:
Hey there!
To solve this system of equations, you will need to get one of the terms in both equations to cancel out to zero. If there isn't a term that you can cancel out, you can multiply either or both equations to make that term. There's no wrong way to do this, just as long as you make sure that you double check whether your should add or subtract. This is easier shown than explained, so refer below:
<span> x + y = +1
5x + y = –6
</span>–1(x + y = +1)
5x + y = –6
–x – y = –1
5x + y = –6
You can see that once we combine these equations by adding, the y term will become 0, eliminating it. This is necessary for solving the system, so make sure you do it. Also, remember to distribute the term that you need to to all of the numbers in the equation! After that, just solve for the variable that's still in the equation.
–x – y = –1
+ 5x + y = –6
4x + 0y = –7
4x = –7
x = –1.75
Now, just plug the value we found for x into either one of your equations in the original system as it's presented in your problem.
x + y = 1
–1.75 + y = 1
+1.75 +1.75
y = 2.75
All that's left to do is check your point (–1.75, 2.75). If it's true for both equations, your answer is correct!
–1.75 + 2.75 = 1
<span>5(–1.75) + 2.75 = –6
</span>(–1.75, 2.75) is the solution to your system.
Hope this helped you out! :-)
Answer:
7 X 5
You use multiplacation to find the total number of blocks
