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gregori [183]
2 years ago
7

5c + 3 ≥ 6x -8 Solve the following inequality for cc. Write your answer in simplest form.

Mathematics
1 answer:
irina [24]2 years ago
3 0

Answer:

c≥2(x-2) ÷ 5

Step-by-step explanation:

5c+3≥6x-8

5c ≥6x-8-3

5c≥6x-12

c≥(6x-12) ÷ 5

c≥ 2(x-2) ÷5

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A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
3 years ago
What two numbers add to 7 and multiply to 0??
ANTONII [103]
Anything times 0 is zero. 
What number plus zero is equal to 7? 7. 

Two numbers that add to 7 and multiply to 0 are 0 and 7. 

0 x 7 = 0
0 + 7 = 7
5 0
3 years ago
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Jessica walks 13 mile to the post office and then 25 mile to the library.
Leto [7]

Answer:

B. 38 Miles. add 13 and 25 what do you get? 38.

Step-by-step explanation:

6 0
2 years ago
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Answwer this question plz
Doss [256]
The answer will be -0.6
7 0
2 years ago
Write the ratio of 8 apples to 4 oranges in 3 different ways.
uranmaximum [27]
8 : 4
16 : 8
4 : 2

Simplest:
2 : 1
3 0
2 years ago
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