The system of equations to find the cost of one adult ticket, a, and the cost of one child ticket, c are Roy's; 6a+2c=66 Elisa's 5a+4c=62.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's consider adults tickets be a and child tickets be c

Roy's purchase

6a+2c=66------1

Elisa's purchase

5a+4c=62-------2

Hence, the system of equations

6a+2c=66------1

5a+4c=62-------2

solving simultaneously

6a+2c=66

5a+4c=62

Also,

12a+4c=132

-5a+4c=62

7a=70

a=$10

put a=70 in 1

6(10)+2c=66

60+2c=66

2c=66-60

2c=6

c=$3

Learn more about equations here;

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4 0

1 year ago

Sample 1: 64, 52, 72, 56, 80, 68, 75, 58, 48, 55

Blizzard [7]

Answer: sample of 100

5 0

3 years ago

Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Inc

poizon [28]

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

$q=\frac{x}{y}$ -------> equation 1

in this problem

$x=4.13*10^{-8} \\ y= 0.04*10^{5}$

Substitute the values in the equation 1

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}$

Simplify

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}$

therefore

<u>the answer is</u>

The quotient is equal to $1.0325*10^{-11}$

6 0

3 years ago

At the family reunion there were 15 more family members there this year than at the last family reunion. There were 46 people at

Kipish [7]

The equation would be x+15=46. I came up with this equation because we are given the total number of people at the reunion this year and we know how many more people are here this year than last year. The unknown is the number of people last year. That is why x would represent the number of people at the reunion last year because that is the unknown. If we add 15 to the number of people last year, it will give us 46( the number of people at the reunion this year).
To find x, we just use opposite operation to get the answer. Opposite of addition is subtraction so, we subtract the number of more people and the reunion this year from the total number of people at the reunion to get the unknown number of people at the reunion last year. 46-15 is 31. Therefore we know that 31 people were at the reunion last year

3 0

3 years ago

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