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lidiya [134]
2 years ago
13

Malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school’s cross-country team. She needs to b

uy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that Malia should buy?
Mathematics
2 answers:
serg [7]2 years ago
4 0

Answer:

graph ??? have u even tried to read the problem

Step-by-step explanation:

VMariaS [17]2 years ago
3 0
Yes I do please took
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Find the least common denominator for the group of fractions.<br> 5/12, 9/14, 2/5, 1/10
makkiz [27]

9514 1404 393

Answer:

  420

Step-by-step explanation:

The prime factors of each denominator are ...

  12 = 2²×3

  14 = 2×7

  5 = 5

  10 = 2×5

The unique factors are 2²×3×5×7 = 420.

The least common denominator of these fractions is 420.

_____

<em>Additional comment</em>

  • 5/12 = 175/420
  • 9/14 = 270/420
  • 2/5 = 168/420
  • 1/10 = 42/420
5 0
2 years ago
An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a n
dusya [7]

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, considering the situation described in the text, the distribution is given by:

  • P(X = 837) = 0.37.
  • P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677

6 0
2 years ago
What is the answer to this math question
mezya [45]

Answer:

11

Step-by-step explanation:

1.80m + 0.6s = 12.00

[substitute the value of m into the equation]

1.80×(3) + 0.6s = 12

5.4 + 0.6s = 12

[make s the subject of the formula]

0.6s = 12 - 5.4

0.6s = 6.6

[divide both sides of the equation by 0.6]

0.6s / 0.6 = 6.6 / 0.6

s = 11

To prove that 11 is correct

[substitute the value of m and s into the equation]

1.80m + 0.6m = 12.00

1.80×(3) + 0.6×(11) = 12.00

5.4 + 6.6 = 12.00

12.00 = 12.00

8 0
2 years ago
Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for reg
Contact [7]

Answer:

a) MAX--> PC (R,P) = 0,3R+ 0,5P

b) <u>Optimal solution</u>: 40.000 units of R and 10.000 of PC = $17.000

c) <u>Slack variables</u>: S3=1000, is the unattended demand of P, the others are 0, that means the restrictions are at the limit.

d) <u>Binding Constaints</u>:

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

Step-by-step explanation:

I will solve it using the graphic method:

First, we have to define the variables:

R : Regular Gasoline

P: Premium Gasoline

We also call:

PC: Profit contributions

A: Grade A crude oil

• R--> PC: $0,3 --> 0,3 A

• P--> PC: $0,5 --> 0,6 A

So the ecuation to maximize is:

MAX--> PC (R,P) = 0,3R+ 0,5P

The restrictions would be:

1. 18.000 A availabe (R=0,3 A ; P 0,6 A)

2. 50.000 capacity

3. Demand of P: No more than 20.000

4. Both P and R 0 or more.

Translated to formulas:

Answer d)

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

To know the optimal solution it is better to graph all the restrictions, once you have the graphic, the theory says that the solution is on one of the vertices.

So we define the vertices: (you can see on the graphic, or calculate them with the intersection of the ecuations)

V:(R;P)

• V1: (0;0)

• V2: (0; 20.000)

• V3: (20.000;20.000)

• V4: (40.000; 10.000)

• V5:(50.000;0)

We check each one in the profit ecuation:

MAX--> PC (R,P) = 0,3R+ 0,5P

• V1: 0

• V2: 10.000

• V3: 16.000

• V4: 17.000

• V5: 15.000

As we can see, the optimal solution is  

V4: 40.000 units of regular and 10.000 of premium.

To have the slack variables you have to check in each restriction how much you have to add (or substract) to get to de exact (=) result.  

3 0
3 years ago
If a pentagon has dimensions of 12 in length, 6in height and 8in width, how can I calculate the area of this pentagon?
ANTONII [103]
12•6= 72

If you were finding volume then you would multiply it my 8 too, but you need to find area
8 0
3 years ago
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