22a is < since multiplying something by a fraction less than one makes it smaller.
22b is = since multiplying something by a fraction equal to one makes it stay the same.
22c is > since multiplying something by a mixed number makes it larger.
22d is < since multiplying something by a fraction less than one makes it smaller.
Hope this helps!
Area of the shaded region=area of the larger circle - area of the smaller cirlce.
1) we calculate the area of the larger circle.
diameter=10.5 cm
radius=diameter / 2=10.5 cm/2=5.25 cm
area=πr²=π(5.25 cm)²=27.5625π cm²
2) we calculate the area of the smaller circle:
diameter=4.5 cm
raduys=diameter / 2=4.5 cm/2=2.25 cm
area=πr²=π(2.25 cm)²=5.0625π cm²
3) we calculate the area of the shaded region.
area of the shaded region=27.5625π cm² - 5.0625π cm²=22.5π cm².
22.5π cm²=22.5(3.141592654...) cm²≈70.69 cm²
Answer : 22.5π cm² or 70.69 cm²
Answer:
3x − y = −8
Step-by-step explanation:
Assuming one meal has been ordered for each person, let x and y represent the number of steaks and the number of chickens ordered, respectively. Then, we get the following system of linear equations. x + y = 12 (Eq. 1) 12x + 10.5y = 138 (Eq. 2) If we plug y = 12 - x, which is from Eq. 1, into Eq. 2, 12x + 10.5(12 - x) = 138 1.5x + 126 = 138 1.5x = 12 x = 8 and plug x = 8 into Eq. 1, we get y = 4. So, they ordered 8 steaks and 4 chickens.
Add all of them up 12+12+12+12