Answer: 6 and 1/12 cups
Step-by-step explanation:
For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:
11/3 + 7/4 + 2/3
Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.
13/3 + 7/4
Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.
If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):
<u>https://youtu.be/bcCLKACsYJ0</u> -- Khan Academy
<u>https://youtu.be/5juto2ze8Lg</u> -- Math Antics
Answer:
Just a bored teen willing to help,
hope you're having a splendiferous day...
Step-by-step explanation:
Sasha: 16.8 seconds÷12 m=1.4 meter per second.
Sam: 46.5 seconds÷31 m=1.5 meter per second.
Sasha walked the fastest.
Answer:
x = 90°
3x = 270°
Step-by-step explanation:
Split the shape in half through the plane of 3x and x.
We can find the angle of x/2 is 45°.
Since x/2 = 45°, then we can fid that x=90°.
To find 3x, we simply multiply 90° 3 times.
So 3x = 270°.
Answer: provided in the explanation segment
Step-by-step explanation:
here i will give a step by step analysis of the question;
A: Optimization Formulation
given Xij = X no. of units of product i manufactured in Plant j, where i = 1,2,3 and J = 1,2,3,4,5
Objective function: Minimize manufacturing cost (Z)
Z = 31 X11 + 29 X12 + 32X13 + 28X14 + 29 X15 + 45 X21 + 41 X22 + 46X23 + 42X24 + 43 X25 + 38 X31 + 35 X32 + 40X33
s.t
X11 + X12 + X13 + X14 + X15 = 600
X21 + X22 + X23 + X24 + X25 = 1000
X31 + X32 + X33 = 800
X11 + X21 + X31 <= 400
X12 + X22 + X32 <= 600
X13 + X23 + X33 <= 400
X14 + X24 <= 600
X15 + X25 <= 1000
Xij >= 0 for all i,j
B:
Yes, we can formulate this problem as a transportation problem because in transportation problem we need to match the supply of source to demand of destination. Here we can assume that the supply of source is nothing but the manufacturing capability of plant and demand of destination is similar to the demand of products.
cheers i hope this helps!!
Answer:
x = 3
Step-by-step explanation:
8x -6 = 18
Add 6 to both sides.
8x = 24
Divide both sides by 8 to isolate x.
x = 3