Answer:60 balloons
Step-by-step explanation: 0.80 times 75 is 60 and 125- 65 is 60
Answer:
x = 47
Step-by-step explanation:
So It most likely adds up to 180 degrees so.
x + 10 + x -10 + x - 10 + x + 6 = 180 (collect like terms)
4x -4 = 184 ( add 4 on both sides)
4x = 188 (divide 188 by 4)
x = 47
47 + 10 = 57 ----> x + 10
47 - 10 = 37 -----> x - 10
47 + 6 = 53 ------> x + 6
Answer:
solution set is (x,y) = (7,6)
Step-by-step explanation:
solving by substitution method
2x +y=20--------------1
6x-5y=12---------------2
from equation 1, solve for y
2x+y=20
y= 20-2x------equation 3
adding value of y in equation 2
6x-5y=12
6x-5(20-2x)=12
6x-100+10x=12
16x= 12+100
16x= 112
x= 112/16
x=7
adding value of x in equation 3
y= 20-2x
y= 20- 2(7)
y=20-14
y=6
so solution set (x,y) = (7,6)
Those are alternate interior angles and are equal. B.5x=80 x=16.
Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
