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skad [1K]
3 years ago
11

Your Student Government Association decided to do a fundraiser to raise

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Step-by-step explanation:

If x is the number of t-shirts, and y is the number of sweatshirts:

10x + 15y ≥ 500

x + y ≤ 50

y ≥ x/2

And since x and y can't be negative:

x ≥ 0

y ≥ 0

Graph:

desmos.com/calculator/mw6dsei6jm

The boundaries of the feasible region are:

(0, 50), (0, 33.3), (28.6, 14.3), and (33.3, 16.7)

Since x and y must be integers, any non-integer solutions are not viable.

The maximum profit will be when the most product is sold.  Since sweatshirts are more profitable, we want to sell as much of that as we can.  

So they should sell 0 t-shirts and 50 sweatshirts for a maximum profit of $750.

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Are these ratios equivalent?
Debora [2.8K]
<h3>Answer:  Yes</h3>

========================================================

Explanation

The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.

The ratio 16:20 simplifies to 4:5 when you divide both parts by 4

Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.

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

Put another way,

(8 large)/(10 small) = (16 large)/(20 small)

8/10 = 16/20

8*20 = 10*16 ... cross multiply

160 = 160

We get a true equation, so the first equation is true as well.

This shows the ratios are equivalent.

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

Or you could have...

(8 large)/(16 large) = (10 small)/(20 small)

8/16 = 10/20

8*20 = 16*10

160 = 160

We get the same conclusion as before.

3 0
2 years ago
What is the first quartile of the data set: {13, 15, 19, 35, 25}
Gekata [30.6K]

Answer:

first quartile is 14

Step-by-step explanation:

{13,15,19,25,35}

first quartile = (13+15)/2 = 14

second quartile = 19

third quartile = (25+35)/2 = 30

3 0
3 years ago
Read 2 more answers
a school district collected 14,621 pounds of recyclables during last year. This year was 3,943 more pounds of recyclables than i
Zepler [3.9K]

Answer:

14,621 lbs.

Step-by-step explanation:

It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.

8 0
3 years ago
If CDEF ≅ MNPQ, then EF≅ _____
Anuta_ua [19.1K]
Your answer would be PQ 
8 0
3 years ago
Pleaseee helpppp I really need it now please
lozanna [386]

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

5 0
2 years ago
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