1.)
6% of 38
1% of 38 = 3.8 ( you just move the decimal placement over by one.
1% * 6 = 6%
3.8 * 6 = 6%
3.8 * 6 = 22.8
6% =22.8
2.)
5% of 90
90/5 = 5%
90/5 = 18
18 = 5%
3.)
15/5 = 9/x
15/5 = 3
3 = 9/x
(nine divided by ? is three?....3!)
3 = 9/x(3)
3 = 9/3
3 = 3
x = 3
4.)
1/12 = .8/x
Multiply each side by ten.
1/12 * 10 = 5/6
.8/x * 10 = 8/x
5/6 = 8/x
Cross Multiply (switch the second numbers around)
5x = 6*8
Simplify
5x = 48
Divide both sides by 5 to get x by itself
5x/5 = x
48/5 = 9.6
*Whoo last problem lol*
5.)
A three liter bottle costs $2.97 what is the unit rate.
Well the unit is the object we're talking about, in this case a liter bottle.
The unit rate is how much it costs or is per unit.
Now that that's out of the way...
3L = 2.97
Like the other problems we want to get x by itself, so we'll divide by three)
3L/3 = L
2.97/3 = .99
L = .99
The Unit Rate is $0.99 per liter bottle.
Hope this helped :)
For calculating that, you have to find the unit rate first;
2.4 pound carrot = $1.68
1 pound carrot = $1.68/2.4 = $0.7
1.8 pound broccoli = $1.53
1 pound broccoli = $1.53/1.8 = $0.85
So, it would be = $0.85 - $0.7 = $0.15
SO, YOUR ANSWER IS $0.15
If there is some scalar function

such that

then we want to find

such that



So the vector field

is conservative, which means the fundamental theorem applies; the line integral of

along any path

parameterized by some vector-valued function

over

is given by

In this case,
Answer:
Here we can use the relationship:
Distance = time*speed.
When Jose walks, his speed is 4 mph.
Then if he walks for X hours, the distance that he will travel is:
D = 4mph*X
When Jose runs, his speed is 8mph.
Then if he runs for T hours, the distance that he will travel is:
D´ = 8mph*Y
And we know that he travels in total 20 miles, then we must have that:
D + D´= 20mi
This leads to:
4mph*X + 8mph*Y = 20mi
Where X is the time that he walked, and Y is the time that he runed.
Then the equation that represents the different amounts of times that Jose runs and walks is:
4mph*X + 8mph*Y = 20mi
Where we can not really find the solutions for Y and X, because there is only one equation and two variables.
which means the graph is on quadrate 2 or 3.
Straight Line :
A straight line is an infinite-length line that does not have any curves on it. A straight line can be formed between two points also but both ends extend to infinity. A straight line is a figure formed when two points A (x1, y1) and B (x2, y2) are connected with the shortest distance between them, and the line ends are extended to infinity.
In the image shown below, a straight line between two points A and B is shown. A straight line AB is represented by: Vector AB
The lines are drawn in a slanting position or form some angle other than 0o, 90o, 180o, 270o, 360o with horizontal or vertical lines are called oblique or slanting lines.
y= -(x - 3)² + 2.
y= - (x2+9-6x)+2
y= -x2-9+6x+2
y= -x2-7+6x
y= -x2+6x-7
-y = x2+7x-x-7
-y= x(x+7)-1(x+7)
-y= (x+7)(x-1)
which means the graph is on quadrate 2 or 3.
straight line graph of y = -(x - 3)² + 2.4
More details : brainly.com/question/20492082
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