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frozen [14]
3 years ago
15

98points! PLEASE SHOW ALL STEPS Given the system of constraints, name all the vertices of the feasible region.

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0
The lines y = x/3 + 3 and 5 = x+y intersect at (1.5,3.5) 
So feasible region is bounded by the x-axis, the y-axis, the line from (0.3) to (1.5. 3.5), and the line from (1.5,3.5) to ((5,0). You should draw this so you can clearly see the feasible region. Now you need to evaluate = 6x-47 at each corner point of the feasible region. 
The corner point that gives you the greatest value of C is the maximum value.

Hope that helps :)
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Which is a true statement? A. –3.62 < –3.5 B. 0.8 > 7.1 C. 6.25 < 6.2 D. –3.4 > –3.3
Troyanec [42]
A is correct :)

Hope this helps!
3 0
3 years ago
At a amusement ,park 360 visitors rode the roller coaster in 3 hours.Write and solve a proportion to find the number of visitors
Pachacha [2.7K]
First you need to find out about how many people went on the roller coaster in one hour by doing 360 divided by 3 and you would get 120. So then you would try to find out how many people went on the coaster in 7 hours by doing 360 times 2 because 3 hours multiplied by 2 is 6 and you would do that to find out how many people went on the coaster in 6 hours, and you would get 720. Next, you have 1 more round of people, so you need to do 720 + 120 which is 840. So about 840 people rode the coaster in 7 hours. Hope this helped.
6 0
3 years ago
1 L of a 78% acid solution was mixed with 6 L of a 64% acid solution. Find the concentration of the new mixture.
JulijaS [17]

The first solution contributes 0.78*1 = 0.78 L of acid.

The second contributes 0.64*6 = 3.84 L of acid.

There will be 7 L total of the new solution, and 3.84 + 0.78 = 4.62 total L of acid in it. So the new solution has a concentration of 4.62/7 = 0.66, or about 66%.

8 0
3 years ago
15+9=? (5+3) What number is missing from the expression?
Airida [17]

Answer:

<h3>\boxed{ \boxed{ \bold{  \mathsf{3}}}}</h3>

Step-by-step explanation:

Let the missing number be 'x'

⇒\mathsf{15 + 9 = x(5 + 3)}

Distribute x through the parentheses

⇒\mathsf{15 + 9 = 5x + 3x}

Swap the sides of the equation

⇒\mathsf{5x + 3x = 15 + 9}

Add the numbers

⇒\mathsf{5x + 3x = 24}

Collect like terms

⇒\mathsf{8x = 24}

Divide both sides of the equation by 8

⇒\mathsf{ \frac{8x}{8}  =  \frac{24}{8} }

Calculate

⇒\mathsf{x = 3}

Hope I helped!

Best regards!

4 0
2 years ago
Lynn can type 60 words per minute. If she types for 30 minutes, how many words does she type in all?
Crazy boy [7]

Answer:1800 words

Step-by-step explanation:

Multiply how many words per minute she types by how many minutes she types. In this case 60x30=?. The easy way to do this is drop the 2 zeros and do  6x3=18. In the original equation we dropped the 2 zeros. Now we add them back on the back of the 18 and get 1800.

7 0
3 years ago
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