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Setler79 [48]
1 year ago
8

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s

hirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
x + A system of equations. 5 x plus 10 y equals 1,750. StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?

How many long-sleeved shirts were ordered?
Mathematics
1 answer:
liraira [26]1 year ago
6 0

Answer:

<u>The drama club ordered 150 short-sleeved shirts and 100 long-sleeved shirts</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

5x + 10y = 1,750

1/3x + 1/2y = 100

x = number of short-sleeved shirts ordered

y = number of long-sleeved shirts ordered

Resolving the 1st equation:

5x + 10y = 1,750

5x = 1,750 - 10y

x = 350 - 2y (Dividing by 5 at both sides)

Resolving  the 2nd equation:

1/3x + 1/2y = 100

1/3 (350 - 2y) + 1/2y = 100

350/3 -2y/3 + 1/2y = 100

700 - 4y + 3y = 600 (Lowest common denominator = 6)

-y = 600 - 700 (Subtracting 700 at both sides)

<u>y = 100</u> (Dividing by - 1)

Finding the value of x in the 1st equation:

5x + 10 (100) = 1,750

5x + 1,000 = 1,750

5x = 1,750 - 1,000 (Subtracting 1,000 at both sides)

5x = 750

<u>x = 150</u> (Dividing by 5)

2. Proving that x = 150 and y = 100 are correct

1/3x + 1/2y = 100

1/3 * 150 + 1/2 * 100 = 100

150/3 + 100/2 = 100

50 + 50 = 100

100 = 100

<u>We proved that x = 150 and y = 100 are correct</u>

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Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

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Hope this helps!!!

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1 year ago
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morpeh [17]

Answer:

Answer D is correct

Step-by-step explanation:

1: (1, 1.25) (2, 2)

So you have your first problem, your first number is x1 while your next number in the first set of parenthesis is y1. Your next set of parenthesis will be x2 and y2 like this:

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Answer:

We accept the null hypothesis and the population mean is $120.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

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Sample standard deviation, s = $25

First, we design the null and the alternate hypothesis

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In △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP . Find the area of △ABC if the area of △BMP
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