57 children tickets were sold on Saturday.
You could set this up as a system of equations.
x + y = 155
6.00x + 9.90y = 1312.20
First step is multiplying the first equation by -6 to use the elimination method.
-6.00x + -6.00y = -930
6.00x + 9.90y = 1312.20
The positive and negative 6x cancel out until you are only left with the y.
Combining them would make your equation...
3.9y = 382.2
Next you would divide by 3.9 on both sides to get the y by itself.
The result of that would be y = 98. Which means 98 adult tickets were sold. Then you would plug y into either of the equations to solve for x.
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a
. Independent
b
. Dependent
c
. Control
d
. None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
<u><em>Answer:</em></u>both numbers are negative
negative number is greater than the positive number
<u><em>Explanation:</em></u><u>
In order to add two rational numbers and get a negative value, one of two scenarios should occur:</u>
<u>1- both numbers are negative.</u>
In this case, the answer would definitely be negative as the two numbers are originally negative
<u>Examples:</u>
-9 + -2 = -9 - 2 = -11

<u>2- negative number is greater than the positive number</u>
In this case, the negative sign would dominate and the result would be negative
<u>Examples:</u>
-9 + 3 = -6

Hope this helps :)
Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:

Since both expressions are equal to y, you have to equal both expressions like this:

Now you can solve the equation:

Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

So, the answer is x=10 and y=-1