Answer:
The answer would be 27π
Step-by-step explanation:
the area is 36pi and the shaded region is 3/4 of the circle, as a 90 degree angle is 1/4 of a 360 degree circle. 3/4 of 36pi is 27pi
Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14


---- Equation 3
Substitute y + 1 for x in equation 2

Open bracket

Collect like terms



So,


Hence, the consecutive numbers are 62 and 63
Answer:
Adult = $7
Kids = $4
Step-by-step explanation:
Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.
Let x = Price of kids tickets
Let y = Price of adults tickets
For this week the expression is:
3x + 9y = 75
For the last week the expression is:
8x + 5y = 67
Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.
3x + 9y = 75
8x + 5y = 67
Now we need to remove either the x or y by multiplying the whole expressions by a certain number.
8(3x + 9y = 75)
24x + 72y = 600
3(8x + 5y = 67)
24x + 15y = 201
Now that we have our equations and we can eliminate the x by subtracting both expressions.
24x + 72y = 600
<u>- 24x + 15y = 201</u>
57y = 399
To find the value of y, we divide both sides by 57.

y = 7
Now that we have the value for y, we simply substitute the value in any of our expressions.
3x + 9y = 75
3x + 9(7) = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
Now we divide both sides by 3 to find the value of x.

x = 4
So the ticket prices are:
Adult = $7
Kids = $4
Answer:
the answer is
yes to 7 and no to 10
Step-by-step explanation:
7. y = 3x---------> 2*3 = 6
10. y = 7x+2--------------> 2*7=14--> 14+2 = 16
16 does not equal 0