A bakery offers a small circular cake with a diameter of 6 inches. It also offers a large circular cake with a diameter of 18 inches. Complete the explanation for wether the top of the large cake has three times the area that of the small cake. The area of the top of the large cake is pie in2 and that of the small cake is pie in2. The top of the cake has an area equal to ___ times that of the small cake.

Answers

Answer 1

Answer:

Answer:

The area of the top of the large cake is 254.34 in2 and the small cake is 28.26 in2. The top of the large cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Area of a circle is TTr^2 (TT is pi).

Large cake: 3.14x9^2=254.34

Small cake: 3.14x3^2=28.26

254.34/28.26=9

Answer 2

Answer:

Answer:

The area of the small cake is 81π in 2.

The area of the large cake is 9π in2.

The top of the large cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Find the area of the small cake in terms of π.

A = πr2 Use the formula.

A = π(3)2 Substitute. Use 3 for r.

A = π × 9 Evaluate the power.

Find the area of the top of the large cake in terms of π.

A = πr2 Use the formula.

A = π(9)2 Substitute. Use 9 for r.

A = π × 81 Evaluate the power.

Find how much larger the area of the top of the large cake is compared to the area of the small cake.

81π ÷ 9π = 9

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Find the square root of 10 to the nearest hundredth
I Need Help PLease!Ashton estimates the square root of 72 in the following way:√72=2√36=2×6=12Explain why his reasoning is incorrect.Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.Answer:

How do I solve x=y+8
and 5x+3y=12in substitution form

Answers

5*(y + 8) + 3*y = 12 <=> 8*y + 40 = 12 ,<=> 8*y = -28 < => y = -7/2;

x = y + 8 => x = -7/2 + 8 => x = 9/2.

Answer:

x = 4.5 and y = -3.5

Step-by-step explanation:

To find the solution to this system of equations using the substitution method, you must solve for either the x or y variable and then substitute into the other equation.

x = (y + 8)

5x + 3y = 12

We will use the first equation to solve for x. The x has to be isolated on one side. Since the first equation already has x on the one side, we can plug it into the other equation.

5(y+8) + 3y = 12

Distribute and solve:

5y + 40 + 3y = 12

8y + 40 = 12

8y = 12-40

8y = -28

y = -3.5

Now we have the y variable, we can plug that back into the first equation to find x.

x = (-3.5) + 8

x= 4.5

Your answer will be x = 4.5 and y = -3.5

7/10+6/100=

how do solve this problem

Answers

We need to find the Lowest Common Denominator = LCD lowest is 100
10 x 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
100 x 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000. which is the lowest and common? 100
7/10 /100 how many times can 10 go into 100? 10 times. so we will multiply 10 time the numerator which is 7, and now will be 70/100
6/100 /100 how many times can 100 go into 100? 1 time. so we will multiply 1 time the numerator 6 which equals 6. 6/100
now add the new fractions. 70/100 + 6/100 = 76/100

$(7)/(10)+(6)/(100)=(70)/(100)+(6)/(100)=(76)/(100)=0.76$

Round 245.675 to the nearest tenth

Answers

the answer is 245.7 since 7 is larger than 5 you round up

-16-3|2x-5| is greater than or equal to -49

Answers

Answer: Greater real answer -16

Step-by-step explanation: Put as brainly pls

You decide to put $2000 in a savings account to save for a $3000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly, how long does it take until you have $3000 without depositing any additional funds?

Answers

Answer:

$t=10.2\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+(r)/(n))^(nt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=?\ years\nP=\$2,000\nA=\$3,000\n r=0.04\nn=12$

substitute in the formula above

$3,000=2,000(1+(0.04)/(12))^(12t)$

$1.5=((12.04)/(12)})^(12t)$

Applying log both sides

$log(1.5)=log[((12.04)/(12)})^(12t)]$

$log(1.5)=(12t)log((12.04)/(12))$

$t=log(1.5)/[(12)log((12.04)/(12))]$

$t=10.2\ years$

At a car wash, Lily paid $11.75 for the wash, 8% sales tax on the price of the wash, and $2 for the tip.Which statements are true?

Choose exactly two answers that are correct.

A.
The equation that represents the total price, w, of the car wash is w + 0.08w + 2 = 11.75.

B.
The equation that represents the total price, w, of the car wash is 11.75 + 0.08(11.75) + 2 = w.

C.
The total cost of the car wash is $9.03.

D.
The total cost of the car wash is $14.69.

Answers

You have to sum up three concepts, the cost before sales tax, the sales tax and the tip. The price before sales tax $11.75; the sales tax is the price times 8%, which $11.75 *8% = $11.75*8/100 = $11.75*0.08 = 0.94; and the itp is $2. Then, the equation is w = 11.75 + (0.08)(11.75) + 2, and the result is 14.69. So, the true statements are B and D.

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