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OleMash [197]
3 years ago
10

Jayesh is looking into joining a gym. He has a budget of $65 per month. The gym he wants to join has fees based on the number of

visits. The inequality to find out how many visits, v, to the gym he can make each month is represented by 7v ≤ 65. He figures out that he can visit the gym 9.28 times with his current budget. Is this solution viable? Explain.
Mathematics
1 answer:
puteri [66]3 years ago
8 0
Number of visits can be only a whole number, the solution should be 9 visits
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Answer:

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Step-by-step explanation:

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6 0
2 years ago
I have corner points of:
WARRIOR [948]
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10

So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)

Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z

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

Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later. 
So let's call it A. Let A = 25

Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later

Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later

Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727

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

In summary, we found
A = 25
B = 21
C = 39
D = 22.2727

The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)

Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)

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

Final Answer: 39

7 0
3 years ago
if two straight lines intersect each other in such a way that one of the angles formed measures 90 degree show that each of the
Hitman42 [59]
I hope this helps in answering your question! If you have any inquiries to the solution, feel free to leave a comment!

6 0
3 years ago
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Readme [11.4K]

Answer:

10 minutes

Step-by-step explanation:

First off, you want to figure out how many photos it prints in one minute. 36 divided by 8 is 4.5. So you should add 4.5 to 36, which makes 40.5 in 9 minutes. Add another 4.5 and you get 45 which you should add another minute. That gives you 10 minutes.

Another way is to find how many per minute which would again be 4.5. 45 divided by 4.5 is 10. So once again, 10 minutes.

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In the figure below, segment CD is parallel to segment EF and point H bisects segment DE :
Grace [21]

Answer:

See explanation

Step-by-step explanation:

In the figure below, segment CD is parallel to segment EF, DE is a transversal, then angles DIH and HGI are congruent as alternate interior angles when two parallel lines are cut by a transversal.

Consider triangles DIH and EGH. In these triangles,

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  • DH\cong HE because point H bisects segment DE (given).

Thus,

\triangle DIH\cong \triangle EGH by AAS postulate

4 0
3 years ago
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