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:
a) P) 0.25 = 1/4 both
b) P) 0.75 = 3/4 one
c) P) 0.25 = 1/4 none
Step-by-step explanation:
4 routes to D + H
6 routes to H + S
= D H S
4 | 6
- 2 | -3
= 2 | 3 = route 1 = 2/4 and route 2 = 3/6
= 1/2 route 1 and 1/2 route 2
Answer a ) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
Answer b) = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability
Answer c) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
To find area we multiple length by width
20 times 45 is 900
then multiply that by 2 because there are two floors that are that size
900 times 2 is 1800
the total area for both floors is 1800 square feet
To solve this, you would divide 478 by 18, which equals 26.5555556. Since you can't have half a package of paper, the answer would be 26. Hope this helps!
<u>Answer:</u>
The angles measures x and 4x are complementary angles. The value of x is 36 degrees
<u>Solution:</u>
Given, two angles are x and 4x
We have to find the value of above given x
We are also given that, given two angles are complementary angles for each other
So, we know that, <em>sum of any two complementary angles will always be equal to 180 degrees </em>
Then, in the problem given,
Hence the angles measures x and 4x are complementary angles. The value of x is 36 degrees
