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
Hey!
RS = 15 and RT = 18. Subtract 18 from 15 to get your answer.
<em>That means your answer is 3</em>
Answer:
p(blue or red) = 0.52 = 52%
Step-by-step explanation:
total number of marbles = 7 + 10 + 14 + 19 = 50
number of blue marbles = 7
number of red marbles = 19
number of blue or red marbles = 7 + 19 = 26
p(blue or red) = 26/50
p(blue or red) = 0.52 = 52%
Answer:
1. decreases
2. 31.50
Step-by-step explanation:
It decreases because there's a negative sign.
It's 31.50 because 10.50 * 3 = 31.50
Answer:
50% pen first box and 62.5% crayon from second box
Step-by-step explanation:
The first box contains 4 items, 2 of each. This means there are 
pens. This gives you a chance of picking out a pen. This can be written as 50%.
The second box contains 8 items, 3 color pencils and 5 crayons. This means 
of the contents are crayons, meaning you have a or 62.5% chance of picking a crayon.
*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.
**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!
