6/7 of 1 3/4......turn the mixed number to an improper fraction...and " of " means multiply
6/7 * 7/4 = 42/28 = 1 1/2...so a compact car weighs 1 1/2 tons or 1.5 tons
Answer:
C) 7
Step-by-step explanation:
3^x−2=2187
Step 1: Add 2 to both sides.
3^x−2+2=2187+2
3^x=2189
Step 2: Solve Exponent.
3^x=2189
log(3x)=log(2189) <<Take log of both sides
x*(log(3))=log(2189)
x= log(2189)/log(3)
x=7.000832
That's a question that can't be answered here.
I know how to do algebra, and I could write how to do it for you. But If I start writing and keep going until I explain to you how to do algebra, do you know what you'd have here ? You'd have an algebra book, just like the one you use in school.
If it were possible to explain algebra in a few paragraphs, or even in a few pages, then that's what you would use in school to learn it, instead of a book. And if it could be explained in a few minutes, or even in a few hours, then teacher would explain it all at the beginning of the year, and then you'd have the rest of the whole year to just practice it and get really good at it.
You use a book, and you spend a whole year learning it, because that's what it takes.
I shall now reveal to you the secret hidden sneaky tricks of how to do algebra:
(If you want to print this and stick it on the refrigerator, you have my full permission.
This method is so good that it even works with a lot of other subjects too.)
-- Go to class every day.
-- As you're sitting down, turn off your cellphone and wrap up your gum.
-- Stay awake in class.
-- Listen to what the teacher is saying. In your mind, make pictures of what it means.
-- When you get a homework assignment, <em>write it down</em>.
-- Make a place at home where you always do your homework. Make it a place where other people aren't running through. While you're there doing homework, turn off the radio and your cellphone, and take the buds out of your ears.
-- <em>On the same day</em> you get the homework assignment, when you're home, sit down in the place where you do your homework, and work ALL of the examples in the assignment. (That may mean that you can't go out that night.)
-- If there's something you just don't get, ask the teacher for a time to sit down together and work on it together until you understand it. That's part of the teacher's job.
If you're building a brick house, and you leave out some bricks near the bottom and keep stacking bricks above the hole, the part above the hole could come crashing down any minute, and there's no way to go back later and try and fill in the hole.
Algebra is exactly like that. Each day or two, in class and in homework, you have to use what you learned in the<em> <u>last</u></em> day or two. If there's a hole there, it's awfully tough to build anything on top of it. If you don't understand how to do something, or you blow off a couple of homeworks, there is <em>no way</em> to go back and catch up <em>later</em>.
Follow my method, and algebra is <em>easy</em> !
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
------------------
Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
------------------
In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
------------------
Final Answer: 39
Answer:
30 km
Step-by-step explanation:
1 kilometer = 100 meters.
1 meter = 100 cm
therefore, 1 km = 10,000
and then, 300000 cm is 30 km
