Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
You find the answer through the Pythagorean theorem
a^2 + b^2 = c^2 a & b are the legs and c is the hypotenuse
a = 40
b = ?
c = 41
40^2 + b^2 = 41^2
1600 + b^2 = 1681
b^2 = 1681 - 1600
b^2 = 81
b = 9
the length of the other leg is 9
i hope you found this helpful!
Answer:
$6.30
Step-by-step explanation:
First, get the volume of the cereal box with the equation V = lwh.
V = 7(3)(10) = 210 cubic inches
Since it costs $.03 per cubic inch, multiply this cost by the volume to get the total cost to fill the box.
.03(210) = $6.30
Answer:
Step-by-step explanation:
Loss is 20%
S.P=Rs60000
C.P=S.P*100/100-loss%
=60000*100/80=Rs75000
So he brought is at Rs75000
Now he wants 12% profit
So
S.P=(100+profit%)/100*C.P
=100+12/100*75000
=112/100*75000=Rs 84000
He will have to sell Rs14000 more to gain profit of 12%
Answer:
Mean absolute deviation. The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset
Step-by-step explanation:
Hope this helps
