Fifty people own 4,000 books. What's the ratio of people to books? A. 80 : 1 B. 1 : 80 C. 1 : 40 D. 40 : 1

Answers

Answer 1

Answer: We have 50:4000, then divide by 50 on both sides to get 1:80, which is B

Answer 2

Answer: easy to work out [B] 1: 80
hope my answer helped!!

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A bakery offers a small circular cake with a diameter of 8 inches.It also offers a large circular cake with a diameter of 24 inches.Does the top of the large cake have three times the area of that the small cake?if not,how much greater is its area?Explain.

Answers

The difference in area between the large and small cakes is 128π square inches.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi * r^2$

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$\pi * ((d)/(2))^2 sq. units$

We are given that;

A bakery offers a small circular cake with a diameter =8 inches

A large circular cake with a diameter = 24 inches

Now,

For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.

For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.

To compare the areas, you can divide them by each other:

(144π)/(16π) = 9

This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.

144π - 16π = 128π square inches.

Therefore, by the area of a circle the answer will be 128π square inches.

Learn more about area of a circle here:

brainly.com/question/13004063

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A=(pi)(radius^2)
radius=4 for small circular cake
radius=12 for large circular cake

Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.

NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

A parrot is selling for 40% off the original price. the original price was $90.what is these price of the parrot

Answers

40 percent off of $90 is $36.

What is the equation of a circle with center (-2, 3) and radius 4?A.
B.
C.
D.

Answers

Hello,

(x+2)²+(y-3)²=16

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus= $(d)/(2)=(12)/(2)=6 in$

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: $(Hypotenuse)^2=(base)^2+(perpendicular\;side)^2$

Using pythagorous theorem

$OB^2=(6)^2+(8)^2=100$

$OB=√(100)=10 in$

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

2. Which of the following is the equation of a circle with the radius of 1.5 and its center at (-3,2)?A. (x+3)^2+(y-2)^2=1.5
B. (x-3)^2+(y+2)^2=1.5
C. (x+3)^2+(y-2)^2=2.25
D. (x-3)^2+(y+2)^2=2.25

Answers

Hello,

(x+3)²+(y-2)²=2.25

Answer C

Graph the function. Identify the vertex and axis of symmetry
f(x) = –x2 – x + 2

Answers

I hope this is right (-5) + (-4) + (7);
= -9 + 7;
= -2

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