MATHEMATICS HIGH SCHOOL

Alice purchased paint in a bucket with a radius of 3.5 in. and a height of 8 in. The paint cost $0.05 per in³. What was the total cost of the paint? Use 3.14 to approximate pi. Round your answer to the nearest penny.

Answers

Answer 1
Answer: v=\pir^2h 

the price before tax would be approximately $15.39.

i hope i helped

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Four people in a room. Each shakes hands with each of the others once. How many handshakes are there? 6
10
12
16
22

Answers

The correct answer is 6.

The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD

There are no other combinations.

There are 6 handshakes betweenfour people in the room.

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }

Permutation ( Arrangement )

Permutation is the number of ways to arrange objects.

\large {\boxed {^nP_r = (n!)/((n - r)!) } }

Combination ( Selection )

Combination is the number of ways to select objects.

\large {\boxed {^nC_r = (n!)/(r! (n - r)!) } }

Let us tackle the problem.

This problem is about Combination.

If there are 4 people in a room , then the number of handshaking between 2 people is analogy as selecting 2 people from 4 people available. We will use combination formula in this problem.

^4C_2 = (4!)/(2! (4-2)!)

^4C_2 = (4!)/(2! 2!)

^4C_2 = (4 * 3 * 2 * 1)/(2 * 1 * 2 * 1)

^4C_2 = ( 24 )/(4)

^4C_2 = \boxed{6}

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

A piano has white keys and black keys in the ratio of 13 : 9. If there are 52 white keys,how many black keys are there?

Answers

✡ Answer: 9/36 ✡

- - Why?

Because if you look at it like this:

(13)/(52) = (9)/(36)

- 52 being the white and 36 because the black.

✡Hope this helps✡
Let w = white and b = black.
Using the proportion,
13/w = 9/b
Since w = 52 white keys, therefore
13/52 = 9/b
b = 36 black keys

The sales tax rate is 8%. Estimate the tax on a jacket that costs $69.95.

Answers

Answer:

8% is the same as (.08)x69.95=.556 or .56 ( because of rounding )

so .56 plus 69.95= $70.51


Step-by-step explanation:
Add 8% and 69.95 and then add 69.95 again to that answer and ta da!

|x/3|=1

please help me <3

Answers

the correct answer is -3

How to solve using perfect square
x^2-4x-32=0

Answers

Perfect\ square:(a-b)^2=a^2-2ab+b^2\n\nx^2-4x-32=0\ \ \ \ |add\ 32\ to\ both\ sides\n\nx^2-4x=32\n\nx^2-2x\cdot2=32\ \ \ \ |add\ 2^2\ to\ both\ sides\n\nx^2-2x\cdot2+2^2=32+2^2\n\n(x-2)^2=32+4\n\n(x-2)^2=36\iff x-2=-√(36)\ or\ x-2=√(36)\n\nx-2=-6\ or\ x-2=6\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{x=-4\ or\ x=8}

What is the sum of 3/8 + 1/16

Answers

7/16 because...
3/8 - 6/16 so that plus 1/16 equals 7/16
3/8 becomes 6/16
So 6/16 + 1/16 =7/16
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