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
Answer:
Single Solution of 3.2 (16/5)
Step-by-step explanation:
3x = 8x -16 <--- I combine like terms.
-5x = -16
-16/-5 = x
x = 3.2
BTW Negative times a Negative equals a positive.
Answer:
a ) 7a + 12
b) b - 15
Step-by-step explanation:
a)2a+5a +8+8
= 7a + 12
b) b - 7 - 8
= b-15
Box 1:0,3,6,9,12, Box 2: 0,1,2, 14. Box3:1,9,13,18, box4:4,5,7hope this helps
the probability of rolling 4 or a number less than 6 is P = 5/6
<h3 /><h3>How to find the probability?</h3>
The standard number cube has the outcomes {1, 2, 3, 4, 5, 6}
We want to find the probability of rolling 4 or a number less than 6. (4 is a number less than 6).
The outcomes that meet that condition are:
{1, 2, 3, 4, 5}
So 5 out of 6 outcomes meet the condition, then the probability is:
P(4 or less than 6) = 5/6
If you want to learn more about probability:
brainly.com/question/25870256
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