Answer:
Step-by-step explanation:
The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.
Radius of the coffee mug is diameter of the coffee mug/2.
Radius of the coffee mug
= 8/2 = 4cm
The area of the circular mug is expressed as
Area = πr^2
Where π is a constant whose value is 3.14
Therefore,
Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2
The area of the top of the circular cup is the same as the area of each cookie. Therefore,
The area of each cookie is 50.24 cm^2
Answer:
18
Step-by-step explanation:
18=2×3×3
54=2×3×3×3
gcd=2×3×3=18
Answer:
After 6 months, Casey would pay $360 to join either gym.
Step-by-step explanation:
At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 35x + 150
At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 60x
Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:
35x + 150 = 60x
Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x
Divide both sides by 25: 150/25 = 25x/25 or x = 6
So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.
Answer:
x = 30 in
Step-by-step explanation:
length of rectangle is (2/3)x + 10; width is (1/3)x + 5;
perimeter is 90 in; find x:
P = 90 in = 2(2/3)x + 2(10) + 2(1/3)x + 2(5), or
90 in = (6/3)x + 30 in
Solving for x, we get (2)x = 60 in, or x = 30 in
