Answer:
the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Step-by-step explanation:
Let us assume the price of adult ticket be x
And, the price of student ticket be y
Now according to the question
2x + 2y = $37.50
x + 3y = $35.25
x = $35.25 - 3y
Put the value of x in the first equation
2($35.25 - 3y) + 2y = $37.50
$70.50 - 6y + 2y = $37.50
-4y = $37.50 - $70.50
-4y = -$33
y = $8.25
Now x = $35.25 - 3($8.25)
= $10.5
Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively
Answer:
1/8
Step-by-step explanation:
1/2= 4(1/2) = 4/8
4/8+3/8= 7/8
7/8 + 1/8 = 1
Answer:
g(x) exceed f(x) by 
when 
Step-by-step explanation:
step 1
Find the equation of function f(x)
we know that
The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)
so
The rate of change is equal to the slope
so
therefore
step 2
Find the equation of function g(x)
Let
Find the slope
----> point A
therefore
step 3
Find the value of f(x) and g(x) for
Find the difference
We know that
[surface area ]=2*[area of the base]+[perimeter of the base]*height
area of the base=10*8.7/2-----> 43.5 cm²
perimeter of the base=10*3----> 30 cm
height of the prism=15 cm
[surface area ]=2*[43.5]+[30]*15------->537 cm²
the answer is
<span>the approximate surface area of the prism is 537 cm</span>²
Since the rectangles are colored in, we can take the area of each color, then add them together. To find all the lengths and widths, subtract as needed: Since the center rectangle's length is 10 feet, subtract 10 from the length of the room which is 16 feet. Those 6 units must be divided in half to give 3 feet for the width of the blue rectangle. Similarly, subtract 8 from 12 and divide the 4 in half to give 2 feet for the width of the yellow rectangle. This also reveals the length and width of the green rectangle. The length is 3 and the width 2, so the area is found 3x2=6. The area of the blue rectangle is found 3x10=30. The area of the yellow rectangle is found 13x2=26. Add these areas up: 6+30+26 = 62 square feet.
