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stiks02 [169]
3 years ago
9

Mr. K, his wife (Mrs. K), and their daughter (Jocelyn) went to Zionsville this past weekend for Jocelyn's first dance competitio

n of the year. The Zionsville band had a concession stand where they were selling slices of pizza for $3 each and Chick-Fil-a sandwiches for $6 each. Drinks were $1.50. After buying each of the 12 dancers either a slice of pizza or a chicken sandwich AND a drink, Mr. K spent $72. How many chicken sandwiches and slices of pizza did Mr. K buy?
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

Mr K purchased 6 chicken sandwiches and 6 pizza slices.

Step-by-step explanation:

Let Mr. K purchased number of chicken sandwiches = x

and number of pizza slices = y

Since total number of dancers = 12

then the equation will be

x + y = 12 --------(1)

Mr K. spent total amount = $72

Therefore, equation to purchase x sandwiches, y pizza slices and 12 drinks will be

6x + 3y + 1.5×(12) = 72

6x + 3y + 18 = 72

6x + 3y = 54

2x + y = 18 -------(2)

We subtract equation (1) from (2)

(2x + y) - (x + y) = 18 - 12

x = 6

from equation (1)

6 + y = 12

y = 6

Therefore, Mr K purchase 6 chicken sandwiches, 6 pizza slices.

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Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her
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3 years ago
Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
iris [78.8K]

Answer to Question 1:

<OGE (also m˚) = 19˚

Step-by-step explanation:

We know that all the angles in a triangle add up to 180˚.

<u>Given:</u>

<EGO = 71˚

<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)

<u>To Solve:</u>

⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:

71˚ + 90˚ + <OGE = 180˚

⇒ Solve for <OGE by simplifying:

161˚ + <OGE = 180˚

⇒ Subtract 161˚ from both sides to get:

161˚ − 161˚ + <OGE = 180˚ − 161˚

⇒ Isolate <OGE:

<OGE = 19˚

<u>Answer:</u> <OGE (also m˚) = 19˚

Answer:

<OAC (also x˚) = 50˚

<OCB (also y˚) = 90˚

Step-by-step explanation:

–<u>How to solve for <OCB (also y˚)</u>

Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.

<u>Answer:</u> <OCB (also y˚) = 90˚

–<u>How to solve for <OAC (also x˚)</u>

<u>Given (and what we can already know):</u>

<AOC = 40˚

<OCA = 90˚

⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.

<u>To Solve:</u>

⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:

40˚ + 90˚ + <OAC = 180˚

⇒ Solve for <OAC by simplifying:

130˚ + <OAC = 180˚

⇒ Subtract 130˚ from both sides to get:

130˚ − 130˚ + <OAC = 180˚ − 130˚

⇒ Isolate <OAC:

<OAC = 50˚

<u>Answer:</u> <OAC (also x˚) = 50˚

I hope you understand and that this helps with your question! :)

3 0
3 years ago
Henry was thinking of a number. Henry halves the number and gets an answer of 32.5. Form an equation with
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there are 18 boys and 24 girls who want to participate in the trivia challenge. if each team must have the same number of boys a
Fittoniya [83]

The greatest number of teams that can enter will be 6.

The number of girls will be =2

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Teams within an enterprise are groups of personnel all working below a shared designation or for a shared goal. groups may be shaped in a selection of structures relying on the desires of the commercial enterprise.

working together saves time and presents each person with more strength to focus on getting the task done. with the aid of getting your employees to work as a team, you may improve the productivity levels of all and sundry present. you may actualize innovative thoughts with greater efficiency, making the importance of teamwork clean.

The reason for a group is to determine how a completely unique set of people can use their abilities to perform an intention at a particular time. A clear team reason can assist motivate individuals into motion. a few advantages of understanding the purpose of a crew include growing recognition and inclusion.

The number of girls = is 18.

Number of boys = 24

Based on the information given, in order to find the greatest number of teams that can enter, we have to find the highest common factors for both boys and girls. This will be:

Factors of 18 = 1, 2, 3, 6, 9, 18.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 16, 24.

Highest common factor = 6

Therefore, the greatest number will be 6.

The number of girls will be =2

The number of boys will be = 4

Learn more about teams here brainly.com/question/4311312

#SPJ4

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1 year ago
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