Mathematics, 15.10.2019 22:30 Lilbossman2203

Agroup of 3 children and 2 adults pay a total of $120 to take a karate class. a group of 5
children and 1 adult take the same karate class for $95. what is the total cost for 1 child
and 1 adult to take the karate class?

Answers: 2

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Answers

The equation we will use is as follows

Aa + Cc = T

A= number of adults taking class
C = number of children taking class
a = cost of adult to take class
c = cost of child to take class
T = total costs

For this questions, they give us two scenarios :

1. 3 children and 2 adults for a total of $120

2. 5 children and 1 adult for a total of $95

Thus, we get the following equations :

1. 3c + 2a = 120

2. 5c + 1a = 95

This is a system of equations. Lets solve it!

solve the second equation for a and plug it into the first equation :

5c + 1a = 95
5c + a = 95
a = -5c + 95

Plug this into the first equation :

3c + 2a = 120
3c + 2(-5c + 95) = 120
3c - 10c + 190 = 120
- 7c = -70
c = 10

Thus, the cost for a child is $10. Now, plug c = 10 into our equation for a and solve for a.

a = -5c + 95
a = -5 (10) + 95
a = -50 + 95
a = $45

Thus, the cost for an adult is $45.

The total cost for one child and one adult is

Aa + Cc = T
1 (45) + 1 (10) = T
45 + 10 = T
55 = T

Answer from: Quest

the answer is simply just 6n add the two together as they have an n

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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Agroup of 3 children and 2 adults pay a total of $120 to take a karate class. a group of 5
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