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wariber [46]
3 years ago
13

Add and Subtract Fractions:

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
1. 7/10(1/5=2/10)
2. 1/12(1/2=6/12)
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Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.
lutik1710 [3]

Answer:

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function f(x, y) = 8x + 8y

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

3x+2y=14\\-5x +5y=10

-------------------

x = 2\\y = 4

-8x + 3y = -29\\3x + 2y = 14

---------------------

x = 4\\y = 1

The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of f(x, y)

f(4, 1) = 8(4) +8(1) = 40\\f(2, 4) = 8(2) + 8(4) = 48

Then the value that minimizes f(x, y) is (4,1).

Option b

5 0
3 years ago
Sophie has 5 pieces of string that are 4 yards each. She uses 3 pieces that are each 3 feet long. How much string does Sophie ha
stich3 [128]

Alright, lets get started.

Sophie has 5 pieces of string that are 4 yards each.

1 yards = 3 feet,

So, 4 yards = 4 * 3 =12 feet

Total number of string she has = 5 piece

So, total length she has = 5*12 = 60 feet

It means she had 60 feet string in starting.

Now, She uses 3 pieces that are each 3 feet long, means

She uses = 3*3 = 9 feet

So, remaining string length will be = 60 - 9 = 51 feet

Means 51 feet string does Sophie have. : Answer

Hope it will help :)


5 0
3 years ago
Read 2 more answers
Expand and simplify 4(x+2)-3 (x-2)
rodikova [14]
Expand: 4x+8-3x+6
simplify: x+14
6 0
3 years ago
The Kitchen committee purchased 76 boxes of cookies for Vacation Bible School,
iren2701 [21]
269 I think :) not sure
5 0
2 years ago
May someone help me out with this please.
Fed [463]
I think The answer is 22.5
5 0
3 years ago
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