Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=
so the distance between point and center is radius
D=
D=
D=
D=√37 units
radius is √37 units
Let x represent the cost of book B
Book A: $17.50
Book B: x
Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x
book A + book B + sales tax = total cost
(17.50) + (x) + (1.05 + .06x) = 44.52 <em>plugged in all of the values</em>
18.55 + 1.06x = 44.52 <em>added like terms</em>
1.06x = 25.97 <em>subtracted 18.55 from both sides</em>
x = 24.50 divided 1.06 from both sides
Answer: $24.50
Answer:
Answer: 12
Step-by-step explanation:
Answer:
50 pounds
Step-by-step explanation:
Dan and june mix two kind of feed for pedigreed dogs
Feed A worth is $0.26 per pound
Feed B worth is $0.40 per pound
Let x represent the cheaper amount of feed and y the costlier type of feed
x+y= 70..........equation 1
0.26x + 0.40y= 0.30×70
0.26x + 0.40y= 21.........equation 2
From equation 1
x + y= 70
x= 70-y
Substitutes 70-y for x in equation 2
0.26(70-y) + 0.40y= 21
18.2-0.26y+0.40y= 21
18.2+0.14y= 21
0.14y= 21-18.2
0.14y= 2.8
Divide both sides by the coefficient of y which is 0.14
0.14y/0.14= 2.8/0.14
y= 20
Substitute 20 for y in equation 1
x + y= 70
x + 20= 70
x= 70-20
x = 50
Hence Dan and june should use 50 pounds of the cheaper kind in the mix
60 is the answer area is the base times heighth always remember that
