Answer:
The system if equation that can be used to derive this are
6x + 4y = 69 AND
12x + y = 96
The price of a drink is $7.5
Step-by-step explanation:
The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .
Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y
The first person made a purchase which led to the equation
6x + 4y = 69______ equation 1
And the second person also made a purchase that lead to the equation
12x + y = 96_____ equation 2
We make y the subject of the formula in equation 2 and apply it in 1
Y = 96 - 12x
Now apply the above in equation 1
6x + 4y = 69
6x + 4(96 - 12x)= 69
6x + 384 - 48x = 69
42x = 384 - 69
X = 315/42
X = 7.5
Substitute x= 7.5 in equation 2
12x + y = 96
12(7.5) + y = 96
90 + y = 96
Y = 6
Therefore, the price of a drink is $7.5
The answer is -14
Explanation:
x - 8 = 2x + 6
We move all term to the left
x - 8 - ( 2x + 6 ) = 0
We get rid of parentheses
x - 2x - 6 - 8 = 0
We add all the numbers together, and all the variables
-1x - 14 = 0
We move all terms containing x to the left, all other term to the right
-x = 14
x = 14/-1
x = -14
Answer:
X=117.9
Step-by-step explanation:
I got itttt
Based on the cost of the calculator, the discount, the shipping fee, and the tax, the total cost of the purchase was<u> a. $80.07</u>
The cost of the calculator was:
<em>= Cost of calculator x ( 1 - discount)</em>
= 83 x ( 1 - 15%)
= $70.55
The sales tax would be:
= 70.55 x 4.5%
= $3.17
The total cost would be:
<em>= Cost + Sales tax + Shipping fee</em>
= 70.55 + 3.17 + 6.35
= $80.07
In conclusion, the total is $80.07.
<em>Find out more on such at brainly.com/question/11239587. </em>
Answer:
The slope of the line is 6
Step-by-step explanation:
The slope of the line is given by
m=(y2-y1)/(x2-x1)
m =(8-2)/(2-1)
= 6/1
The slope of the line is 6
