Answer:
18 cheetos bags, 12 takis bags
Step-by-step explanation:
<u>Assigning:</u>
Let x = number of cheetos bag(s)
Let y = number of takis bag(s)
<u>System of Equations:</u>
x + y = 30
15x + 40y = 750
<u>Solving:</u>
Isolate y in first equation : y = 30 - x
Substitute into second equation:
15x + 40(30 - x) = 750,
15x + 1200 - 40x = 750,
-25x = - 450,
x = 18 cheetos bags
y = 30 - 18 = 12 takis bags
Answer:
The answer is 0.4
Step-by-step explanation:
Since we do multiplication first, we do 0.2*0.5. That equals 0.1.
Next, we do addition. 0.3+0.1 is 0.4.
<span>ABCD is a parallelogram.
Looking at the quadrilateral ABCD, the first thing to do is to determine if the opposite sides are parallel to each other. So let's check that by looking at the opposite sides.
Line segment BA. When you go from point B to point A, you move to the right 1 space, and down 4 spaces. So the slope is -4. Looking at line segment CD, you also move to the right 1 space and down 4 spaces, which also means a slope of -4. So those two sides are parallel. When you compare line segments BC and AD, you'll notice that for both of them, you go to the right 5 spaces and up 2 spaces, so those too are parallel. So we can now saw that the quadrilateral ABCD is a parallelogram.
Since ABCD is a parallelogram, we now need to check if it's a rectangle (we know it can't be a square since the sides aren't all the same length). An easy way to test if it's a rectangle is to check of one of the angles is 90 degrees. And if we draw a line from B to D, we can create a triangle ABD. And in a right triangle, due to Pythagora's theorem we know that A^2 + B^2 = C^2 where A is the line segment AB, B is the line segment AD and C is the line segment BD. So let's calculate A^2, B^2, and C^2.
A^2: Line segment AB. We can construct a right triangle with A = 1 and B = 4. So C^2 = 1^2 + 4^2 = 1 + 16 = 17. So we have an A^2 value of 17
B^2: Line segment AD. We can construct a right triangle with A = 2 and B = 5. So C^2 = 2^2 + 5^2 = 4 + 25 = 29. So we have an B^2 value of 29
C^2: Line segment BD. We can construct a right triangle with A = 2 and B = 6. So C^2 = 2^2 + 6^2 = 4 + 36 = 40. So we have a C^2 value of 40.
Now let's check if the equation A^2 + B^2 = C^2 is correct:
17 + 29 = 40
46 = 40
And since 46 isn't equal to 40, that means that ABCD can not be a rectangle. So it's just a parallelogram.</span>
x+3-1.26923+4.12821 so if I am wrong it took me a while to work this out
Answer:
The Inequality modelling the equation is 
.
The cafeteria typically serve lunch for students between 425 to 523.
Step-by-step explanation:
Given:
Each students pays for lunch = $2.75
Cafeteria brings between $1168.75 and $1438.25.
We need to find the number of students cafeteria typically serve.
Solution:
Let the number of student served be 'x'.
Now we can say that;
Total money make is equal to Each students pays for lunch multiplied by number of students served.
But total money made is in the form of range so we can say that;
Now Dividing all sides by 2.75 we get;
Hence the Inequality modelling the equation is .
Hence we can say that, The cafeteria typically serve students between 425 to 523.
