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Oxana [17]
3 years ago
8

Write the pair of fractions as a pair of fractions with a common denominator 1/4 and 5/12

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

See picture for answer.

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta
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Answer:

See explanation

Step-by-step explanation:

Let x,\ x\ge 0 be the number of students and y,\ y\ge 0 be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

15x+25y\ge 3,750

2. The auditorium can accommodate up to 180 spectators, hence

x+y\le 180

3. We get the system of inequalities:

\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise \$(15\cdot 50+25\cdot 125)=\$3,875

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3 years ago
Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?
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Answer:

Step-by-step explanation:

You need to divide 74308 divided by 52 which equals 1429.

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poizon [28]

Step-by-step explanation:

12:36=\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}

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3 years ago
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