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Nadya [2.5K]
3 years ago
12

You take a group of 20 people going to the movies. Kids' tickets

Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0

The number of kids in group is 12

<em><u>Solution:</u></em>

Let "k" be the number of kids

Let "a" be the number of adults

Cost of 1 kid ticket = $ 4

Cost of 1 adult ticket = $ 6

<em><u>You take a group of 20 people going to the movies</u></em>

Therefore, we frame a equation as:

number of kids + number of adults = 20

k + a = 20 ----------- eqn 1

<em><u>Your total cost is $  96</u></em>

Therefore, we frame a equation as:

number of kids x Cost of 1 kid ticket + number of adults x Cost of 1 adult ticket = $ 96

k \times 4 + a \times 6 = 96

4k + 6a = 96 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

k = 20 - a ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

4(20 - a) + 6a = 96

80 - 4a + 6a = 96

80 + 2a = 96

2a = 16

<h3>a = 8</h3>

<em><u>Substitute a = 8 in eqn 3</u></em>

k = 20 - 8

<h3>k = 12</h3>

Thus number of kids in group is 12

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<h3>What is linear equation?</h3>

An equation is deemed to be linear if a variable's maximum power consistently equals 1. Another name for it is a one-degree equation. The form of the linear equation Ax + B = 0 is standard for one-variable linear equations. In this instance, as well as A are variables while B is a constant.

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<h3>According to the given data:</h3>

Given that the no. of students is n.

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3 years ago
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Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
kiruha [24]

Answer:

Number of pineapples = 10

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Money = $ 13.5

Cost of a pear = $ 0.5

Cost of a pineapple = $ 1.5

Cost of a kiwi = $ 0.3

let the number of pineapple = p  

Number of pears = p + 9

Number of kiwis = p - 2

Cost is

0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5

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Please help!!!!!!! Please help!!!!!! Please help!!!!!!
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Answers:

  1. Discrete
  2. Continuous
  3. Discrete
  4. Continuous

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

Explanations:

  1. This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
  2. This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
  3. This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
  4. This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.

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