The cost of each adult ticket is $11.43
The cost of each child ticket is $0.14
<u>Step-by-step explanation:</u>
Given,
- The cost of each adult ticket = x
- The cost of each child ticket = y
On the first day,
Anna sells 5 adult tickets and 6 child tickets for a total of $58.00.
⇒ 5x + 6y = 58 ----------(1)
On the second day,
she sells 8 adult tickets and 11 child tickets for a total of $97.00.
⇒ 8x + 11y = 97 ----------(2)
<u>Solving the equations for x and y values :</u>
Multiply eq (1) by 8,
Mu;tiply eq (2) by 5 and subtract it from eq (1),
40x + 48y = 484
- (<u>40x + 55y = 485</u>)
<u> - 7y = - 1 </u>
⇒ y = 1/7
⇒ y = 0.14
The cost of each child ticket is $0.14
Substitute y = 0.14 in eq (1),
⇒ 5x + 6(0.14) = 58
⇒ 5x + 0.84 = 58
⇒ 5x = 58 - 0.84
⇒ 5x = 57.16
⇒ x = 57.16 / 5
⇒ x = 11.43
The cost of each adult ticket is $11.43
Answer:
y=(6+7x)/4
Step-by-step explanation:
7x-4y=-6
-4y=-6-7x
y=(-6-7x)/-4
y=(6+7x)/4
Find out the hours travels by the annie and brian
To proof - Let us assume that the hours travelled by brian be x.
As given in the question Annie traveled 7 times the sum of the number of hours Brian traveled and 4.
So, Annie travelled = 7(x+4) and Brian travelled = x
Total hours travel by them is 56.
According to question:
x +7 ( x+4) = 56
x+7x +28=56
8x=56-28
x=3.5 hours
Therefore, Brian travel for 3.5 hours and Annie travels for the 52.5 hours.
Answer:
-1/6
Step-by-step explanation:
- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6
The tenths place is the first digit to the right of the decimal(the point). The value would be .7
